The visibility rate for the only dominant phenotype is 100%. There is no phenotypic ratio since there is no second phenotype. The ratio that would be used to represent this outcome is 4:0 phenotypic ratio.
In the given question we have to explain about a 4:0 phenotypic ratio.
The visibility rate for the only dominant phenotype is 100%. There is no phenotypic ratio since there is no second phenotype. The ratio that would be used to represent this outcome is 4:0. However, the genotypic ratio considers probable allele combinations rather than the observable trait (phenotype).
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sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. to test if 68% also represents california's percent for full-time faculty teaching the online classes, long beach city college (lbcc) in california was randomly selected for comparison. in the same year, 34 of the 44 online courses lbcc offered were taught by full-time faculty. conduct a hypothesis test at the 5% level to determine if 68% represents california. note: for more accurate results, use more california community colleges and this past year's data
The Confidence Interval for the hypothesis test at the 5% level to determine if 68% represents California is 0.65, 0.90.
First, we need to find H₀ and Hₐ. In this case, we want to check whether California community colleges take 68% of the online classes thought by full-time faculties, or not.
H₀ : p = 0.68; Hₐ : p ≠ 0.68
Second, we need to determine the distribution needed. State what our random variable P’ represents.
Normal: N
Test Statistic : z = 0.1873
Third, we have to calculate he p-value using the normal distribution for proportions.
p-value = 0.1873
If the null hypothesis is true (the proportion is 0.68), thus there is a 0.1873 probability which the estimated proportion is 0.773 or more.
Fourth, we need to compare [tex]\alpha[/tex] and the p-value, then indicate the correct decision (reject or do not reject the null hypothesis).
[tex]\alpha[/tex] = 0.05
Decision : Do not reject the null hypothesis
Reason for decision : p-value > 0.05
At the 5% level, the data do not provide statistically significant evidence that the true proportion of online courses taught by full-time faculty is not 68%.
Last, define the confidence interval. The confidence interval is (0.6275, 0.8725) = (0.65, 0.90).
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mean(s) that teachers model strategies step-by-step and explicitly demonstrate the process of thinking before, during, and after one reads.
Scaffold instruction mean(s) that teachers model strategies step-by-step and explicitly demonstrate the process of thinking before, during, and after one reads.
What is scaffold instruction?
A teacher can improve learning and help students master tasks by adding supports for them through a technique called instructional scaffolding. The teacher accomplishes this by methodically constructing on the experiences and knowledge of the pupils as they pick up new abilities. These supports are movable and temporary, just like the scaffold in the image on the left. The supports are gradually taken away as students complete the tasks they have been given by teacher.Structuring can be better understood by using the example of a kid learning to walk. A parent raises the child first. He pretends to walk, but his feet are barely on the ground. The infant is gradually given more and more freedom to bear his own weight. Then, while his parents are present, he might support himself by holding on to a piece of furniture like a coffee table. The child is now prepared to move, even if his parent's hand may still be mere centimetres away.Hence, Scaffold instruction mean(s) that teachers model strategies step-by-step and explicitly demonstrate the process of thinking before, during, and after one reads.
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A square frame has sides that measure 1.75 m when it is at rest. What is the area of the frame when it moves parallel to one of its diagonal with a speed of 0.88c as indicated in the figure ?
m²
Measurements taken in a different frame of reference reveal a decrease in their dimensions—the only component that is parallel to the motion—and a delay in time—commonly referred to as "Length Contraction" and "Time Dilation"
when the objects are moving at a speed that is comparable to the speed of light and is in the order of C. The following is a discussion of the given relativistic issue.
The length AC is the only length that observers using the platform frame of reference would perceive as being shorter (the length).
What is change in measurement?
Estimation of progress alludes to the evaluation of fluctuation from one viewpoint, and to the appraisal of progress in a smaller sense then again. Short-term and reversible fluctuations (such as mood state variability) are characteristics of variability.
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volume of naoh dispensed (ml) check circle highlight off highlight off mass of acid in sample (g) highlight off highlight off highlight off percentage by mass in sample
Percentage by mass in sample will be 67.8%.
We know that volume of NaOH dispensed is 24.68 ml.
And mass of the NaOH is 39.997 g/mol.
Also mass of acid is 58.94 g/mol.
We have to find percentage by mass in sample.
To calculate the mass percent of an element in a compound, we divide the mass of the element in 1 mole of the compound by the compound's molar mass and multiply the result by 100.
Therefore
Mass percent = (mass of chemical / total mass of compound) × 100
= (mass of NaOH/ mass of acid) × 100
= (39.997/58.94) × 100
= 0.678 × 100
Mass percent = 67.8
Hence percentage by mass in sample is 67.8%
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A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of
A) 69pi ft^3
B) 76pi ft^3
C) 96pi ft^3
D) 106pi ft^3
The volume of the composite figure is A) 69[tex]\pi ft^3[/tex].
What is volume?
The area occupied within an object's three-dimensional bounds is referred to as its volume. Another name for it is an object's capacity. The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Volumes vary depending on the shape.
Here the given figure contains cone and cylinder.
In cone height = 5f , radius r = 3 ft.
Then Volume of the cone is ,
=> V = 1/3 ([tex]\pi r^2[/tex]h) cubic unit
=> V = 1/3 (3.14*9*5)
=> V = 15[tex]\pi ft^3[/tex]
Now In cylinder Height = 6ft and radius = 3ft.
Then Volume of cylinder is ,
=> V=[tex]\pi r^2h[/tex] cubic unit.
=> V= [tex]\pi[/tex]*9*6
=> V=54 [tex]\pi[/tex][tex]ft^3[/tex]
Then Total volume of the figure is ,
=> Volume of cone+ volume of cylinder
=> 15[tex]\pi[/tex]+54[tex]\pi[/tex]
=> 69[tex]\pi ft^3[/tex].
Therefore the volume of the composite figure is 69[tex]\pi ft^3[/tex].
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How do you find the length width and height of a rectangular prism with the volume?.
To find the length, width, and height of a rectangular prism with the volume, you need to know the formula for volume of a rectangular prism. The formula is V=lwh, where l is the length, w is the width, and h is the height.
A rectangular prism is a three-dimensional figure with six faces that are all rectangles. The length, width, and height of a rectangular prism can be found using the formula V=lwh, where V is the volume, l is the length, w is the width, and h is the height. To solve for one of the variables, you need to rearrange the equation. For example, to solve for h, you would rearrange the equation to h=V/lw. This would give you the height in terms of the other two variables.
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Which equation represents the line that passes
through the points (-3,7) and (3,3)?
Answer:
Step-by-step explanation:
First get the slope of the line. This is (7-3)/(-3-3)=4/-6=-4/6=-2/3
Using slope intercept form, we get the equation
(-2/3)x+5=y
a researcher calculated that the total sum of squares for a regression equation was 153.7, and the error sum of squares was 82.6. what is the proportionate reduction in error for knowing the value of the independent variable?
The proportionate reduction in error for knowing the value of the independent variable is 0.54.
What is independent variable ?The variable which does not depend on any variable and hence independent are known as independent variable.
Given that,
sum of squares for a regression equation was 153.7 = SST
error sum of squares was 82.6 = SSE
SS (reg) = SST - SSE
153.7 - 82.6
SS(reg) = 71.1
The proportionate reduction in error for knowing the value of the independent.
= 1 - [tex]\frac{(SS)reg}{SST}[/tex]
= 1 - [tex]\frac{71.1}{153.7}[/tex]
= 1 - 0.46
= 0.54
The proportionate reduction in error for knowing the value of the independent variable is 0.54.
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What are the most important activities performed by accountants?.
The main activity that is performed by accountant include the safe keeping of financial records and preparation of financial statements that are helpful in order to represent the current financial positions of a company.
An accountant is a qualified personnel who is the responsibility of maintenance of accounting records and safe keeping of the books of accounts of a firm. apart from maintenance of the accounting records and accountant also has to ensure that the financial statements are true and fair.
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a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.
The dimensions of a norman window of maximum area if the total perimeter is 14 feet are 2 ft and 4 ft respectively.
Given:
a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window
we are asked to find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.
the area of the semicircle is given by:
A = πr²/2
The area of the rectangle is just the product of its length and width.
Letting A be the area of the window and adding the two ares, we have:
A = xy + π(y/2)²/2
= xy + π(y²/4)/2
= xy+πy²/8
we know the circumference = πd
the circumference of a semicircle is half of that. The perimeter of a rectangle is the sum of twice the length and twice the width. However, one of the sides is replaced by the semicircle, so we remove it from the equation.
Hence, we have the following equation for the perimeter.
14 = 2x+y+πy/2
let us isolate x from this equation
14 = 2x+y+πy/2
14-y-π/2 = 2x
x = 7-y/2-πy/4
substituting x to the equation for the area, w have:
A = xy + πy²/8
= (7 - y/2 - πy/4)y + πy²/8
= 7y - y²/2 - πy²/4 + πy²/8
= 7y - y²/2 - 2πy²/8 + πy²/8
= 7y - y²/2 - πy²/8
differentiating A with respect to x.
A = 7y - y²/2 - πy²/8
A' = 7 - y - πy/4
⇒ 7 - y - πy/4 = 0
⇒ 28 - 4y - πy=0
⇒ 28 = 4y+πy
⇒ 28=(4+π)y
⇒ y = 28/4+π ≈ 4 ft
perimeter:
14 = 2x+y+πy/2
14 = 2x + 28/4+π + π(28/4+π)/2
14(8+2π)=2x(8+2π)+28(2)+28π
112+28π = 16x+4πx+56+28π
112-56=16x+4πx
56=(16+4π)x
x=56/16+4π
= 14/4+π
x=14/4+π≈ 2 ft.
Hence the dimension are 2 ft and 4 ft.
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If you multiply two decimal le than 1, can you predict whether the product will be le than or greater than either of the factor? Explain
When we multiply two decimal numbers less than 1 then their product will be less than 1.
What do you mean by fraction?
A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. It is known as an improper fraction if the numerator is bigger and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder. By dividing the numerator by the denominator, any fraction can be expressed in decimal form. One or more digits may repeat indefinitely or the result may come to an end at some point.
If we multiply two decimal numbers less than 1 then their product will also be less than 1. Because we are determining a fractional portion of a quantity, this is the case.
Decimals are frequently multiplied by treating them as whole numbers before placing the decimal point in the result. Where the decimal point is placed in the solution depends on how many digits are present in the factors following the decimal points.
Therefore, when we multiply two decimal numbers less than 1 then their product will be less than 1.
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Determine which of the following relations is a function.
To be a relation to a function there must be single output for single input thus tables (1) and (3) represent the function.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In a function for every single input (x), there must be one output(y).
In the given second table,
For x = 0 → y =2 and y = 1 thus it will not be a function.
In the fourth table,
For x = 2 → y =2 and y = 6 thus it will not be a function.
Hence "To be a relation to a function there must be single output for single input thus tables (1) and (3) represent the function".
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The school year book had 50 ads placed last year. This year there was a 20% increase in the number of ads. What was the increase in the number of ads placed?
A: 20
B: 30
C: 40
D: 10
Show your work
Answer:
10
Step-by-step explanation:
20% of 50 ads
=20/100*50 ads
=10 ads
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X: 5, 8, 9
Y: 3, 5, 7
Does y vary directly with x?
Write an equation for the direct variation:
The equation for the direct variation will be 5y-3x=0.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, For the data in the table, does y vary directly with x
X: 5, 8, 9
Y: 3, 5, 7
y ∝ x
y=kx
3=k5
k=3/5
For x as 5 and y as 3, the obtained equation is,
y=kx
y=3/5x
5y=3x
5y-3x=0
Thus, the equation for the direct variation will be 5y-3x=0.
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4(x - 7)= 0.3(x + 2) + 2.11, the solution to the equation is: a)8.7 b)8.3 c)3 d)-3
The solution to the given linear equation, 4(x - 7)= 0.3(x + 2) + 2.11, is x = 8.3. The correct option is b) 8.3
Solving linear equationsFrom the questions, we are to determine the solution to the given linear equation.
The given linear equation is
4(x - 7)= 0.3(x + 2) + 2.11
To solve the equation, we will determine the value of x
Solving the equation
4(x - 7)= 0.3(x + 2) + 2.11
Clear the parentheses by applying the distributive property
4x - 28 = 0.3x + 0.6 + 2.11
Add 28 to both sides of the equation
4x - 28 + 28 = 0.3x + 0.6 + 2.11 + 28
4x = 0.3x + 30.71
Subtract 0.3x from both sides of the equation
4x - 0.3x = 0.3x - 0.3x + 30.71
3.7x = 30.71
Divide both sides by 3.7
3.7x/3.7 = 30.71/3.7
x = 8.3
Hence, the solution to the equation is x = 8.3
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What accountants and auditors do?.
Accountants and auditors create and review financial records, spot possible risk and opportunity areas, and provide individuals and organisations solutions. They guarantee the accuracy of financial records, the assessment of data and financial risks, and the correct payment of taxes.
Accountants;-
An accountant is a specialist who manages bookkeeping and organises the financial records you use to run your company, including balance sheets, profit and loss statements, and more. They simplify all the financial jargon associated with running a business, audit your records, create reports for tax purposes, and more.
Auditors;-
An organization's audit is to be conducted by an auditor, who may be an individual or a company. An audit is a planned, methodical procedure that involves looking over books, records, accounts, or other documentation.
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Ahley buy a hamter wheel during the ale(25% off). If Ahley pay $6, what wa the original price?
Answer:
original price was $8
Step-by-step explanation:
Ashley buy a hamster wheel during the sale (25% off). If Ashley pay $6, what was the original price?
$6 = 75% of price
75% = 0.75
6 = 0.75x
divide both sides by 0.75:
6/0.75 = 0.75x/0.75
x = 8
original price was $8
suppose you lift a laptop that weighs 4.1 pounds off the floor onto a shelf that is 2 feet high. how much work have you done?
The required work done in lifting the laptop to a height of 2 feet will be 263.79 foot-poundal.
Total weight of the laptop is 4.1 pounds
Acceleration due to gravity = 32.17 ft/[tex]s^{2}[/tex]
Now the height to which the laptop has been lifted = 2 feet
Since, there is no mentioned velocity of the laptop, therefore the kinetic energy will be zero
Therefore, the total work in lifting the laptop will be equal to the change in potential energy.
Potential energy is the energy that comes by virtue of its position with reference to other
Therefore, potential energy = mgh
Where, m = mass of the laptop = 4.1 pounds
g = acceleration due to gravity = 32.17 ft/[tex]s^{2}[/tex]
h = height to which the laptop is lifted = 2 feet
Therefore potential energy = (4.1)(32.17)(2) = 263.79 foot-poundal
263.79 foot-poundal is the required work done.
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simplify ((x-3)(x-3))/((3-x)(3+x))
Answer:
[tex]\frac{(x-3)^2}{(3-x)(3+x)}[/tex]
Step-by-step explanation:
1) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].
[tex]\frac{(x-3)^2}{(3-x)(3+x)}[/tex]
Thanks.
need help finding this translation
a. up 2, right 3
b. right 3, down 2
c. left 3, down 2
d. down 3, right 3
To translate triangle A to B, left 3, down 2 and to translate triangle B to A, up 2, right 3
There are two triangles in the graph
Consider the triangle on top as triangle A and the triangle on bottom as triangle B
The translation is the process of the changing the coordinates of the given shapes in the graph. The shape and size will be same only the coordinates will vary
Consider the triangle A
If we want triangle A to translate to triangle B
First translate 3 units to left and translate 2 units down
Now consider the triangle B
If we want to translate triangle B to triangle B
First translate 2 units up and translate 3 units right
Hence, to translate triangle A to B, left 3, down 2 and to translate triangle B to A, up 2, right 3
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question a sports team won twice as many games as they lost. the sum of games won and games lost was 42 games. how many games did they win?
Using the solution of Algebraic expression,
we get that total 28 games won by sports team.
We have given that,
let a sports team lost be x games .
then, total number of games won by sports team
= 2x
total number of games played by sports team
= 42
i.e , 2x + x = 42
=> 3x = 42
=> x = 42/3
=> x = 14
so, number of games lost by sports team is 14
but we have to calculate the total number of games won by spots team .
using the value of x , we get 2x = 2×14
=> 28 games
Hence, total 28 games out of 42 games are won by sports team.
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What is the vertex angle of an isosceles triangle?.
The vertex angle is defined as the angle opposite the base. It can be calculated by formula, 180° - 2B = A where, B=base angle and A=vertex angle.
The two sides of an isosceles triangle are congruent, which means they are the same length. The third side of an isosceles triangle is larger than the other two and is known as the base.
Every triangle has three angles that add up to a total of 180°. The base angles are the two angles located along the base of isosceles triangles. In isosceles triangles, the base angles are always congruent, or equal.
The vertex angle is defined as the angle opposite the base. The vertex angle is always greater than the sum of the two base angles. The vertex angle is always calculated by subtracting the base angles from 180°, using the general formula: 180° - 2B = A, where B represents the base angle and A represents the vertex angle.
Thus, vertex angle is defined as the angle opposite the base.
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If there are 15 red, 15 blue, and 15 yellow marbles in a bag, if you draw two marbles out of the bag without replacement, what is the probability that the second marble is a different color than the first marble
Answer:
15/22
Step-by-step explanation:
15 red, 15 blue, 15 yellow
You draw a marble of any color.
Now the marbles left in the bag are 14 of the same color, and a total of 30 of different colors for a total of 44 marbles.
Your desired outcome is a marble of a different color.
There are 30 desired outcomes.
The total number of possible outcomes is all the marbles left in the bag: 44.
p(2 marbles of different colors) = 30/44 = 15/22
How do you find the relationship between zeros and the coefficients of a cubic polynomial?.
A cubic polynomial is a polynomial of degree 3. That is, it is a polynomial with three terms. The relationship between the zeros and the coefficients of a cubic polynomial can be found by using the factoring theorem.
This theorem states that if a polynomial has a factor of (x-a), then a is a zero of the polynomial. In other words, the zeros of a polynomial are the values of x that make the polynomial equal to zero.
To find the zeros of a cubic polynomial, we can use the factoring theorem to factor the polynomial into factors of the form (x-a). For example, if we have the cubic polynomial x³+ax²+bx+c, we can factor it as (x-a)(x²+px+q), where a, p, and q are constants. We can then use the factoring theorem to find the values of a, p, and q that make the polynomial equal to zero.
The coefficients of a cubic polynomial are the values of a, p, and q in the factored form of the polynomial. In other words, the coefficients of a cubic polynomial are the values that determine the zeros of the polynomial.
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Which of the number's below are potential Rootsof the function p x x 4 22x 2 16x 12?.
The potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.
What is function?
In arithmetic, a perform from a collection X to a collection Y assigns to every part of X specifically one part of Y.
Main body:
p(x) = x⁴+ 22x² - 16x - 12
From the rational root theorem,
All the possible roots of the function are in the form of a rational number.
x = ± p/q
x = ± (Factors of the constant term)/ (Factors of leading coefficient)
In the given polynomial,
The constant term is - 12
The leading coefficient is 1
The factors of - 12 are ±1, ±2, ±3, ±4, ±6, ±12
Factors of 1 are ±1.
From the rational root theorem, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.
Therefore, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.
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What is the range of f(x) = sin(x)? the set of all real numbers the set of all real numbers the set of all real numbers the set of all real numbers.
The range of function f(x) = sin(x) is the set of all real numbers lying between [-1, 1].
Define the function sin(x)?Although they can sometimes be written as functions, the sine, cosine, and tangent of such an angle really are defined on the basis of trigonometry.
All real numbers fall inside the domain of the function f(x) = sin x, but its range equals −1 ≤ sin x ≤ 1. If the angle is measured in degrees versus radians will affect the sine function's values. The periodicity of the function is 360 degrees, or 2π radians. As a result, sin x is just an odd function, and its algebraic expression is sin(x) = − sin x. Using the aforementioned numerical tables, you can verify this truth. When it comes to cos x, we could see that the graph has a symmetry axis along the y-axis, indicating that it's an even function that can be expressed algebraically; cos(−x) = cos x.Thus, range of function f(x) = sin(x) is the set of all real numbers lying between [-1, 1].
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Identify the domain and range for the relation. {(1, 3), (2, 5), (3, 7), (4, 9), (5, 9)}
Answer:
See below
Step-by-step explanation:
Given relation:= {(1, 3), (2, 5), (3, 7), (4, 9), (5, 9)}
Domain:
All the x-values of the relation are domain.
So,
Domain = {1, 2, 3, 4, 5}Range:
All the y-values of the relation are range.
So,
Range = {3, 5, 7, 9, 9}[tex]\rule[225]{225}{2}[/tex]
Given: AB=AC, AD=AE and DC=EB
Prove: <1 is equal to <2
PLEASE HELP! Thank you!
The prove of ∠1 equal to ∠2 is shown below.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
⇒ AB = AC, AD = AE and DC = EB
Now,
In ΔDBC and ΔEBC;
⇒ DC = EB (Given) ..(i)
Since, AB = AC
So, the ΔABC is a isosceles triangle.
Hence, ∠DBC = ∠ ECB ..(ii)
Here, AB = AC and AD = AE
So, BD = EC ..(iii)
Hence, By the condition (i), (ii) and (iii);
By SAS condition,
⇒ ΔDBC ≅ ΔEBC
Hence, We get;
⇒ ∠1 = ∠2
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What triangles are congruent to ABC?.
Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D.
Congruent triangles;-
If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.
Here,
Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D. In other words, if a triangle's third side matches the third side of another triangle's third side, the triangles are said to be congruent.
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Identify how long a player would have to practice batting to have 27 hits.
TIME (Hrs) 1 5 9 13 17
HITS 2 11 18 25 34
13.5 Hrs long a player would have to practice batting to have 27 hits.
Given:
TIME (Hrs) 1 5 9 13 17
HITS 2 11 18 25 34
To have 27 hits :
= 13 + 1 + 17 + 5 - 9 / 2
= 14 + 22 - 9 / 2
= 36 - 9 / 2
= 27 / 2
= 13.5 hours
Therefore 13.5 Hrs long a player would have to practice batting to have 27 hits.
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#SPJ1
