PLEASE I NEED HELPP !!
The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent Side AB is equal to side DC, and DB is the side common to triangles ABD and CDB. Therefore, the triangles ABD and
CDB are congruent by SAS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of vertical angles that are congruent. Therefore, AD is
parallel and equal to BC Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel
Which statement best describes a flaw in the students proof?
O Triangles ABD and BCD are congruent by the SSS postulate instead of the SAS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SAS postulate.
O Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
O Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles
Answers
Answer:
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles
Step-by-step explanation:
Once it is stated that the triangles ABD and CDB are congruent by SAS postulate, it is concluded that, by CPCTC, angles DBC and BDA are congruent because they are corresponding angles.
Answer:
the person above is correct
Step-by-step explanation:
Related Questions
Jessie wants to go to Paris, France. She also wanted to visit Atlanta, Georgia. She decided to book a flight, and decided that if she went to Paris, she would stay at a 3-star hotel, which offered $122 per night, and if she went to Atlanta, she would stay at a 5-star hotel, which offered $308 per night. The cost of the flight to France would be $2,338. Which vacation should she take? (Graph and solve algebraically and make a linear equation for both vacations)
Answers
Answer:
she should take the one to paris
Step-by-step explanation:
because it will be cheeper in the hotel even tho it will be a 5 star hotel to atlanta its will be cheeper to go to paris
How do I do this? Not entirely sure.
Answers
Answer:
-1, 0, 3, 80
Step-by-step explanation:
so replace the n it would be
[tex]1^{2} - 2[/tex] x 1
1-2
-1
[tex]2^{2} - 2[/tex] x 2
4-4
0
[tex]3^{2} - 2[/tex] x 3
9-6
3
[tex]10^{2} - 2[/tex] x 10
100 - 20
80
Please help thanks.....
Answers
Answer:
D
Step-by-step explanation:
The answer is B
the slope of AD and BA are not statisfy the theorem of perpendicular line
slope AD x slope BA must be -1 so that we can call perpendicular
-2/4 x 5/2 ≠ -1
If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given scenario, then find measurement of the central angle AOB
Answers
Answer:
The measurement of the central angle AOB is 45 degrees
Step-by-step explanation:
To solve this problem, we will have to work with fractions.
We will get the fraction of area the shaded portion is when compared to the whole garden.
First of all, we will need to calculate the area of the garden which is [tex]\pi r^{2}[/tex]
in this case, our radius is 8 inches.
Next, we will compare the area of the sector to the area of the garden. This will be
This will be the shaded area/ area of the whole garden
= [tex]\frac{8\pi}{\pi8^{2}}[/tex]
[tex]=\frac{1}{8}[/tex]
We will now convert this ratio to an angle by multiplying it by 360 degrees.
This will be:
[tex]\frac{1}{8}\times 360 = 45 degrees[/tex]
The measurement of the central angle AOB is 45 degrees
Could someone help me with this please !
Answers
List of prime numbers: 2,3,5,7,11
Both C and D equal 2 which is a prime number.
The answers are C and D
Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6
A. No the corresponding sides are not proportional
B. No the corresponding angles are not congruent
C. Yes by the SSS Similarity Postulate
D. Yes by the SAS Similarity Postulate
Answers
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
Answer:
D. SAS Similarity Postulate
Step-by-step explanation:
I got it right on the test
Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100. Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5. Who performed better on the standardized exams and why? Reagan scored higher than Jessie. Reagan's score was 1140, which is greater than Jessie's score of 30. Reagan scored higher than Jessie. Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Jessie's standardized score of 2.6 standard deviations above the mean. Reagan scored higher than Jessie. Reagan's score was 140 points above the mean of 1000, and Jessie's was 13 points above the mean of 17. Jessie scored higher than Reagan. Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean. Jessie scored higher than Reagan. Jessie is only 6 points from the top score of 36 on the ACT, and Reagan is 460 points from the top score of 1600 on the SAT.
Answers
Answer:
Jessie scored higher than Reagan.
Step-by-step explanation:
We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.
Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.
For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.
1. Finding z-score for Reagan;
Let X = distribution of SAT scores
SO, X ~ Normal([tex]\mu=1000, \sigma^{2}=100^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 1000
[tex]\sigma[/tex] = standard deviation = 100
Now, Reagan scored 1140 on the SAT, that is;
z-score = [tex]\frac{1140-1000}{100}[/tex] = 1.4
2. Finding z-score for Jessie;
Let X = distribution of ACT scores
SO, X ~ Normal([tex]\mu=17, \sigma^{2}=5^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 17
[tex]\sigma[/tex] = standard deviation = 5
Now, Jessie scored 30 on the ACT, that is;
z-score = [tex]\frac{30-17}{5}[/tex] = 2.6
This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.
Need Help Please I'm Out Of Time ;(
Answers
Answer:
class a= 3:5 class b=2:4 or 1:2 simplified
Step-by-step explanation:
Find
[tex]( {10x}^{2} - 11x + 8) + ( {2x}^{2} + 7x - 5 )[/tex]
Answers
Answer:
[tex]12x^2-4x+3[/tex]
Step-by-step explanation:
Parentheses do not matter in this equation.
[tex](10x^2-11x+8)+(2x^2+7x-5)=\\10x^2-11x+8+2x^2+7x-5=\\12x^2-11x+8+7x-5=\\12x^2-4x+8-5=\\12x^2-4x+3[/tex]
Our answer is [tex]12x^2-4x+3[/tex]
Classify the following triangle as acute, obtuse, or right.
51
78
51
A. Obtuse
B. Right
C. Acute
D. None of these
Answers
Answer:
C. Acute
Step-by-step explanation:
Acute angles are less than 90°Obtuse angles are greater than 90°, but less than 180°Right angles are exactly 90°Extra:
Straight angles are exactly 180° (basically a straight line)Reflex angles are greater than 180°, but less than 360°Which list of decimal numbers is in ascending order?
A. 0.13, 0.31, 0.04, 0.5
B. 1.411, 1.2, 1.056, 1.007
C. 12.252, 12.26, 12.387, 12.4
D. 6.009, 6.015, 6.241, 6.2
Please help!!! <33
Answers
Answer: C
Step-by-step explanation: The number go larger in value
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?
Answers
Answer:
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
Step-by-step explanation:
Let the total amount Ken must earn be k. Then 10% of that would cover leisure activities and the remaining 90% specifically for school expenses.
Then 0.90k = $2,160, and k = $2,400.
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
I need help please........
Answers
Answer:
the answer is option A
[tex]\left[\begin{array}{ccc}56&56&-14\\-126&92&62\\-78&26&2\end{array}\right][/tex] I HAVE CHECKED THE VALUES THIS ANSWER IS CORRECT
Step-by-step explanation:
AJ is the bisector of ∠HJI. Determine the value of x. ANSWERS: A) 50 B) 10 C) 8 D) 25
Answers
Answer:
B) 10
Step-by-step explanation:
∠IJA= ∠HJA
ΔIJA has twice smaller side opposite ∠J than ∠A
Similarly
ΔHLA side 5 opposite ∠J,
So x/5= 20/10 ⇒ x= 5*2= 10
Answer choice is B) 10
What is the solution to the equation 1.25 + r = 4? r = 2.75 r = 3.75 r = 5.25 r = 5.75
Answers
Answer:
r = 2.75
Step-by-step explanation:
1.25 + r = 4
Subtract 1.25 on both sides.
1.25 + r - 1.25 = 4 - 1.25
r = 4 - 1.25
r = 2.75
The solution to the equation is r = 2.75.
Answer:
r= 2.75
Step-by-step explanation:
In order to find r, you need to make it the subject:
so when you rearrange the equation it will be
r=4-1.25
= 2.75
Solve for b. ab+c=d
B=a+c/d
B=a/(c-d)
B=(d-c)/a
Answers
Answer:
b = (d-c)/a
Step-by-step explanation:
ab+c=d
Subtract c from each side
ab+c-c=d-c
ab = d-c
Divide by a
ab/a = (d-c)/a
b = (d-c)/a
Answer:
B is my best guess!
Step-by-step explanation:
Simply 3 small 2+8x4 need answer
Answers
Answer:
2+32
34
Step-by-step explanation:
First we should multiply before adding after multiplying 8×4 is 32 and add 32+2 then it is 34
Step by step explanation
According to BODMAS rule
2+8*4 here 8*4 should be done first
= 2+32
= 34
Which expression gives the distance between the points (2,5) and (-4, 8)?
A. (2+4)2 +(5-8)2
B. (2-4)2 +(5-8)
C. /(2+4)2 + (5 - 8)2
D. (2-4)2 +(5-8)
Answers
Answer:
A. (2+4)² +(5-8)²
Step-by-step explanation:
To find then distance between two points, we will follow the steps below;
write down the formula
D = √(x₂-x₁)²+(y₂-y₁)²
(-4, 8)
x₁=-4
y₁ = 8
(2,5)
x₂=2
y₂=5
we can now proceed to insert the values into the formula
D = √(x₂-x₁)²+(y₂-y₁)²
= √(2+4)²+(5-8)²
=√(6)² + (-3)²
=√36+9
=√45
Therefore the expression which gives the distance between two the two points is (2+4)² +(5-8)²
Help meh decent amount of point if you do
Answers
Answer:
edge
Step-by-step explanation:
a base is the bottom
A parabola is a curve on either the top or the bottom
The vertex is where the top and bottom meet
Answer:
B. edge
Step-by-step explanation:
The edge is the side shown in your picture
Given: KLMN is a trapezoid,
KL = MN, LN=89,
LM=3, KN=13
Find: m ZLKN.
L
M
N
K
Answers
Answer:
45°
Step-by-step explanation:
draw point L' and M' and make line LL' and MM' which perpendicular to KN
so we have rectangle of LMM'L'
KL' = M'N = (13-3):2 = 5
now we need to find LL' using phytagoras
(LL')² = LN² - (NL')²
LL'² = (√89)² - (13-5)²
LL'² = 89 - 64
LL'² = 25
LL' = 5
since KL' = LL' the triangle of KLL' is isosceles right angle triangle.
so m<LKN = m<LKL' = 45°
Simplify 6(3+4) -5(1+2) need answer
Answers
Answer:
27
Step-by-step explanation:
[tex]6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27[/tex]
Hope this helps!
Answer:
27
Step-by-step explanation:
6(3+4)-5(1+2)=
6(7)-5(3)=
42-15=
27
A coordinate plane. A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line? –3 –2 2 3
Answers
Answer:
x-intercept is equal to 2 (Option 3)
Step-by-step explanation:
Slope = m = -3/2
y-intercept = b = 3
Putting in the slope-intercept form
=> y = [tex]\frac{-3}{2} x+3[/tex]
For finding x- intercept, y must be equal to 0
=> 0 = (-3/2)x+3
=> -3/2 x = -3
=> 3/2 x = 3
=> 3x = 6
Dividing both sides by 3
=> x = 2
Answer:
the third option 2
Step-by-step explanation:
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answers
Answer:
The first one!
Step-by-step explanation:
the others don't work since there could be more possibilitys than just b and c.
D is just wrong (as you creati)
I seriously cited the sources you fool>;/
plagiarism, what joke is that! is it a joke? don't be crazy please! thanks!
represent the geometric series using the explicit formula. 2, -8, 32, -128, ...
Answers
Answer: Add the numbers that are going in order but make sure you do it with the minus numbers
Step-by-step explanation:
Can you help me please?
Answers
Answer:
30 comedy DVDs
35 Action DVDs
5 Horror DVDs
Step-by-step explanation:
Total Parts of the ratio are = 6+7+1 = 14 parts
Now Finding:
1) Comedy:
=> [tex]\frac{6}{14} * 70[/tex]
=> 6 * 5
=> 30 comedy DVDs
2) Action:
=> [tex]\frac{7}{14} * 70[/tex]
=> 7 * 5
=> 35 Action DVDs
3) Horror:
=> [tex]\frac{1}{14} * 70[/tex]
=> 1*5
=> 5 Horror DVDs
40. Find the perimeter of the figure below.
Answers
Answer:
24 cm
Step-by-step explanation:
To find the perimeter of the shape:
3+3+6+6=18
Perimeter of rectangle is 18
Triangle is equilateral, and therefore, all it’s sides are the same.
The final step is:
3+3+6+6+6= 24
Answer:
Option B. is the correct choice.
Step-by-step explanation:
Perimeter = 3+6+6+3+6
= 24 cm
Best Regards!
find a Pythagorean triplet whose one member is 16
Answers
Answer:
12, 16, 20
Step-by-step explanation:
3, 4, 5 is a simple triple Phytagoras, so (3×4),(4×4), and (5×4) is triple Phytagoras too.
Answer:
HOPE IT IS HELPFUL FOLLOW FOR MORE ANSWERS
In a bucket there are 4 balls - one each of red, blue, green and yellow. You must choose one at random. What are the odds you will never pick the green one?
Answers
Answer: p(getting a green ball) = 3/4
Step-by-step explanation:
There are 4 balls out of which one is green and 3 more colours so there is a possibility of 3 out of 4 balls
PLEASE HELP I ONLY HAVE 10 MINS! WILL MARK BRAINLIEST! A 5×5 square is divided into 25 cells. Initially, all the cells are white, as shown on the left. Neighboring cells are those that share a common edge. In each move, the colors of two neighboring cells change to the opposite color (e.g., white cells become black and black cells become white). What is the minimum number of moves required to obtain the chess-like coloring shown on the right?
Answers
Answer:
Step-by-step explanation: I think that is 5
Answer:
Step-by-step explanation:
It is 12
I've been having trouble with this.
Arm Span(x) Height(y)
(58, 60)
(49, 47)
(51, 55) (19, 25) (37, 39) (44, 45)
(47, 49)
(36, 35) (41, 40)
(46, 50)
(58, 61) (67, 63)
1. Representation of Data with Plots Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph. Copy and paste your scatter plot into a word processing document.
2. The Line of Best Fit Include your scatter plot and the answers to the following questions in your word processing document:
a.Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
b.Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
c.What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
d.Test the residuals of two other points to determine how well the line of best fit models the data. Use the line of best fit to help you to describe the data correlation.
e.Using the line of best fit that you found in 2, Question b, approximate how tall is a person whose arm span is 66 inches?
f.According to your line of best fit, what is the arm span of a 74-inch-tall person?
