Answers
Answer:
The last option line DG is congruent to line GE
Step-by-step explanation:
Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side
So basically G is the midpoint of DE because FG is the median.
The last option, we can conclude that line DG is congruent to line GE
What is median?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.
Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
We are given that FG is an median.
Thus, basically G becomes the midpoint of DE because FG is the median.
So, DG = GE
Hence,
The last option, we can conclude that line DG is congruent to line GE
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Related Questions
Please anerw the pic attached below!
Answers
Answer:
x = 27
Step-by-step explanation:
m<X + m<XWY + m<XYW = 180 (measures of <s of triangle add to 180)
m<X = 90
90 + m<XWY + m<XYW = 180
m<XWY + m<XYW = 90 Equation 1
m<XWY + m<VWY = 180 (linear pair) Eq. 2
m<XYW + m<ZYW = 180 (linear pair) Eq. 3
Add Eqs 2 & 3
m<XWY + m<VWY + m<XYW + m<ZYW = 360
m<XWY + m<VWY + m<XYW + m<ZYW = 360
According to Eq. 1, m<XWY + m<XYW = 90.
90 + m<XYW + m<ZYW = 360
Also, m<VWY = 6x & m<ZYW = 4x
90 + 6x + 4x = 360
10x = 270
x = 27
Connor has 36¢ in nickels and pennies. He has 8 coins altogether. How many coins of each kind does he have?
Answers
Answer:
7 nickels
1 pennie
Step-by-step explanation:
Answer:
Connor has 7 nickles and 1 penny.
Step-by-step explanation:
7 * 5 = 35
5 is the value of a nickel.
1 * 1 = 1
35 + 1 = 36
Therefore, Connor has 7 nickels and 1 penny.
Suppose a blue car is 1/2 mile south of an intersection, driving north towards the intersection at 40 mph (miles per hour). At the same time, a red car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The the straight-line distance between the blue and red car is increasing at a rate of 15 mph. What is the speed of the red car?
Answers
Answer:
dx/dt = - 18,79 mph
Step-by-step explanation:
The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse
If we call x and y distances between blue car and red car respectively and L the hypothenuse by Pythagoras theorem we have:
L² = x² + y² (1)
Tacking derivatives on both sides of the equation
2*L*dL/dt = 2*x*dx/dt + 2*y*dy/dt
And from equation (1)
L² = (0,5)² + (0,5)² ⇒ L = √(0,5)² + (0,5)² ⇒ L = 0,5*√2
By subtitution in equation (2)
2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40
(15*√2 - 40 ) / 1 = dx/dt [mph]
dx/dt = - 18,79 mph
Note the( - ) sign is equivalent to say that the car is driving away from the intersection point
A wedding planner she did the 234 gas at a reception so that each table have the same number of guest if each table could see no more than 20 people what is the largest possible number of guest at each table
Answers
Answer:
the largest number of people she can sit at a table is 18.
Step-by-step explanation:
there would be 13 tables
The required possible tables is 13 and the largest number of people she can sit at a table is 18.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.
According to given question we have
Total number of guest=234
i.e 234/13=18 people
The largest number of people she can sit at a table is 18.
The possible tables can arrange to sit the guest is 13.
Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.
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Which graph has the domain of x>-3? The less than sighn is supposed to have the line under. Will mark the brainliest
Answers
Answer:
Top graph
Step-by-step explanation:
It starts at x and continues right, so x > -3 in that graph
subtract 3 from 4 times m
Answers
Answer:
-1
Step-by-step explanation:
not sure if the equation is 3-4m or 3-4 but it's -1 if the equation is 3-4
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. Erica has at most $10 to spend on the cab ride. How far can Erica travel?
Answers
Answer:
x = 12.7 or x ≈ 12
Step-by-step explanation:
1.75 + 0.65x = 10
0.65x = 10 - 1.75
0.65x = 8.25
x = 8.25 / 0.65
x = 12.7
x ≈ 12
note: we round it up to 12 and not 13, because Erica does not have enough money for 13 miles
A rental car company charges $68.80 per day to rent a car and $0.08
for every mile driven. Paisley wants to rent a car, knowing that:
• She plans to drive 325 miles.
• She has at most $370 to spend.
Write and solve an inequality which can be used to determine d, the
number of days Paisley can afford to rent while staying within her
budget.
Answers
Answer:
5 days maximumStep-by-step explanation:
Given
Daily charge = $68.80Charge per mile = $0.08Target distance = 325 milesMoney limit = $370Required inequality:
68.8d + 325*0.08 ≤ 370Solving for d:
68.8d + 26 ≤ 37068.8d ≤ 344d ≤ 344/68.8d ≤ 5Up to 5 days is the answer
Is the function f(x) = 3(.96)x an exponential growth or exponential
decay function? Why?
Answers
Answer:
exponential decay
Step-by-step explanation:
anything less than 1 in the parenthesis is decay
There are 32 carpenters in a work crew. On a certain day, 24 were present. What
percent showed up for work?
Answers
Answer:
75%
Step-by-step explanation:
24/32 = .75 move decimal twice to the right to change to %
= 75%
A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times as long as the first. Set up an equation and solve it to determine the length of the three pieces.
Answers
Answer:
The first piece is 19 inches, the second is 52, and the third piece is 57.
Step-by-step explanation:
Solve for x using (x) + (x + 33) + (3x) = 128.
If ABCD is a square and AC= 26, what is the length of BC
Answers
Answer:
BC = 18.385
Step-by-step explanation:
You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped
Answer: aprox 18.38
Step-by-step explanation:
you have a AC=, which is the hypothenuse of the right triangle, and isosceles
ABC
AB=BC, sides of a square
remember c^2=a^2+b^2 but and b are equal so we can say
c^2= 2a^2
c=a[tex]\sqrt{2}[/tex], 26/[tex]\sqrt{2}[/tex]=a
a=(26[tex]\sqrt{2}[/tex])2=18.38
A pair of equations is shown below:
y=7x- 8
y= 5x-2
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points
Answers
Answer:
x=3, y=13. (3, 13).
Step-by-step explanation:
7x-8=5x-2
7x-5x-8=-2
2x-8=-2
2x=-2+8
2x=6
x=6/2=3
y=5(3)-2=15-2=13
Answer:
given y=7x-8 i
y=5x-2 ii
Step-by-step explanation:
equating equation i and ii which is i=ii
7x-8=5x-2
7x-5x= -2+8
2x=6
x=6÷2
x=3
now
putting the value of xbin equation i
y=7x-8
y=7×3-8
y=21-8
y=13
hence the value of x and y is 3 and 13 respectively
With domestic sources of building supplies running low several years ago, roughly 60,000 homes were built with imported Chinese drywall. According to an article federal investigators identified a strong association between chemicals in the drywall and electrical problems, and there is also strong evidence of respiratory difficulties due to the emission of hydrogen sulfide gas. An extensive examination of 58 homes found that 46 had such problems. Suppose these 58 were randomly sampled from the population of all homes having Chinese drywall.
(a) Does the data provide strong evidence for concluding that more than 50% of all homes with Chinese drywall have electrical/environmental problems? Carry out a test of hypotheses using a = 0.01.
Compute the test statistic value. Round your answer to two decimal places.
(b) Calculate a lower confidence bound using a confidence level of 99% for the percentage of all such homes that have electrical/environmental problems. (Round your answer to one decimal place.)
(c) If it is actually the case that 80% of all such homes have problems, how likely is it that the test of (a) would not conclude that more than 50% do? (Round your answer to four decimal places.)
Answers
Answer:
Step-by-step explanation:
Null hypothesis:
[tex]H_o : \mu = 0.50[/tex]
Alternative hypothesis:
[tex]H_a : \mu > 0.50[/tex]
The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{46}{58}[/tex]
[tex]\hat p = 0.7931[/tex]
The test statistics:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]
[tex]Z = \dfrac{0.7931 - 0.50}{\sqrt{\dfrac{0.5(1-0.5)}{58} } }[/tex]
[tex]Z = \dfrac{0.2931}{\sqrt{\dfrac{0.25}{58} } }[/tex]
[tex]Z = \dfrac{0.2931}{0.06565321643}[/tex]
Z = 4.46 (to two decimal places)
At 99% C.I
Level of significance is:
∝ = 1 - C.I
∝ = 1 - 0.99
∝ = 0.01
Thus, the lower confidence bound can be computed as:
[tex]= \hat p - Z_{\alpha} \sqrt{\dfrac{\hat p ( 1- \hat p )}{n} }[/tex]
Critical value of [tex]Z_{0.01/2} = 2.33[/tex]
[tex]= 0.7931 - 2.33 \sqrt{\dfrac{0.7931 (1-0.7931)}{58}}[/tex]
[tex]= 0.7931 - 2.33 (0.05319)[/tex]
= 0.7931 - 0.1239327
= 0.6691673
[tex]\simeq[/tex] 0.7 (to one decimal place)
(c)
Given:
[tex]P_o = 0.50[/tex] and [tex]\hat p = 0.80[/tex]
Then:
[tex]\beta (0.8) = \phi \Big [ \dfrac{p_o-\hat p + Z_{\alpha} \sqrt{\dfrac{p_o(1-p_o)}{n}}}{\sqrt{\dfrac{\hat p(1-\hat p)}{n} } } \Big][/tex]
[tex]\beta (0.8) = \phi \Big [ \dfrac{0.5-0.8 + 2.33 \sqrt{\dfrac{0.5(1-0.5)}{58}}}{\sqrt{\dfrac{0.8(1-0.8)}{58} }}\Big][/tex]
[tex]= \phi \Big [ \dfrac{-0.3+ 2.33 (0.06565)}{\sqrt{0.0027586 }} \Big][/tex]
[tex]= \phi \Big [ \dfrac{-0.3+ 0.1529645}{0.052522} \Big][/tex]
[tex]= \phi \Big [ \dfrac{-0.1470355}{0.052522 } \Big][/tex]
[tex]= \phi \Big [-2.799\Big][/tex]
= 0.0026 ( to four decimal place).
will mark brainliest if the answer is correct
Answers
Answer:
Kennedy will earn 21.7 dollars per hour.
y=3x-5
6x+3y=15
what is the value of y in the following system
Answers
y=3x - 5....(i)
6x+3y=15.....(ii)
Then,
Keeping value of y in (ii)equation;
or,6x+3(3x-5)=15
or,6x+9x-15=15
or,15x=15+15
or,x=30/15
:x=2
Now, Keeping value of x in (i) equation;
y= 3x-5
or, y= 3×2 - 5
or,y= 6-5
: y=1
What is the perimeter of the parallelogram?
units
Answers
Answer:
P = 36 units
Step-by-step explanation:
perimeter of the given diagram: (see attached)
P = 8 + 8 + 10 + 10
P = 36 units
(04.05)Marisa painted 1 of her bedroom in 3 of an hour. At this rate, how long would it take her to paint the entire room?
12 2
4
O
of an hour
of an hour
o
6
of an hour
of an hour
4
Answers
The Question above is incomplete.
Complete Question
Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour
Answer:
six-fourths of an hour
Step-by-step explanation:
Let her entire room be equal to 1
From the above question
1/2 of her bedroom = 3/4 of an hour
1(Entire bedroom) = x hour
Cross Multiply
1/2 × x = 3/4 × 1
x = 3/4 / 1/2
x = 3/4 ÷ 1/2
x = 3/4 × 2/1
x = 6/4 hour
Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.
Solve the system of equations –2x+y = 15 and 3x + 2y = -33 by combining
the equations.
Answers
Answer:
x=-9
y=-3
Step-by-step explanation:
Answer:
x=-3/7, y=99/7. (-3/7, 99/7).
Step-by-step explanation:
-2x+y=15
3x+2y=-33
----------------
-2(-2x+y)=-2(15)
3x+2y=-33
---------------------
4x-2y=-30
3x+2y=-33
----------------
7x=-3
x=-3/7
-2(-3/7)+y=15
6/7+y=15
y=15-6/7=105/7-6/7=99/7
A porch that is 24.5 feet long needs to be lengthened by 12.2 feet. How long is the new length of the porch?
Answers
Hailey is 2 years younger than her sister. If Hailey is h years old, which equation represents the age of her sister, s?
Answers
Answer:
S=H+2
Step-by-step explanation:
OK, so hailey is the variable H. And she is 2 years younger than her sister.
What is the age of her sister?
So we know it has to be, hailey's age + something? = age of her sister.
what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.
H+2=S
OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.
Answer:
S=H+2
Step-by-step explanation:
I got it right and that all that matters.
Which of the following equations could be used to predict the value, V(t), after t years, of a $1000 investment expected to appreciate by 5% each year?
A
V(t)=1000(0.5)t
B
V(t)=1000(1+0.5)t
C
V(t)=1000(0.05)t
D
V(t)=1000(1+0.05)t
Answers
Answer:
D
Step-by-step explanation:
The equations could be used to predict the value is
V(t) = 1000 (1+ 5/100[tex])^t[/tex]
What is Future Value?A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor.
We have,
P= $1000
R= 5%
T= time in years
We know that amount
A(t) = P(1 + R/100[tex])^t[/tex]
So, V(t) = 1000 (1+ 5/100[tex])^t[/tex]
Thus, the required function is V(t) = 1000 (1+ 0.05[tex])^t[/tex]
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my question is down there
Answers
a nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $16.45. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answers
Answer:
It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.
Step-by-step explanation:
Identify the angles of rotational symmetry for the figure.
+
Rotational symmetry
Answers
Answer:
144
Step-by-step explanation:
Answer:
90 180 270
Step-by-step explanation:
What is the value of x when y=6
Answers
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Ed 2020
I need help with these too questions
Number 1
Number 2
Answers
Answer:
Step-by-step explanation:
-6n + 2.9 = 11
subtract 2.9 from both sides
-6n = 8.1
divide both sides by -6
n = -1.35
2/3n - 3 = 8
add 3 to both sides
2/3n = 11
multiply both sides by 3
2n = 33
divide both sides by 2
n = 16.5
hope this helps <3
Answer:
left side:
-6n = 11 - 2.9
-6n = 8.1
n = - 8.1/6
n = - 1.35
right side:
2/3 n = 8 + 3
2/3 n = 11
n = 33/2
n = 16.5
Find the 12th term in the following arithmetic sequence
Answers
Someone help me
6 cm
22 cm
14 cm
