Answer:
Two transformations or series of transformation that support Maria's claim and Maps ΔABE to ΔACD are;
A dilation with a scale factor of 3 about point A
A dilation with a scale factor of 3 about point B followed by a translation of 4 units downwards
Step-by-step explanation:
Using an online source, we have;
ΔABE ~ ΔACD
The coordinate of triangle ΔABC are;
A(-6, 4), B(-6, 2), and E(-2, 2)
The coordinate of triangle ΔACD are;
A(-6, 4), C(-6, -2), and D(6, -2)
∠A ≅ ∠A by reflexive property
Segment BE ║Segment CD and segment DE and segment AE are collinear on transversal AD
∴ ∠E ≅ ∠D Corresponding angles
∴ ΔABE ~ ΔACD by Angle-Angle rule of congruency
Segment AB on ΔABE and segment AC on triangle ΔACD are corresponding sides on both triangles
The length of segment AB on ΔABE = 2 units
The length of segment AC on ΔACD = 6 units
The scale factor of dilation, SF = (The length of segment AC)/(The length of segment AB)
∴ SF = (6 units)/(2 units) = 3
Therefore, ΔABE maps to ΔACD by either of the following;
1) A dilation with a scale factor of 3 about point A
2) A dilation with a scale factor of 3 about point B followed by a translation of 4 units downwards.
!!!!!!!!!!!!!!!!!!!!help me
Answer:
pretty sure its 75
4 ft 5 ft 2 ft 6 ft 6 ft 11 ft
Answer:
34 feet
Step-by-step explanation:
Connie had some marbles. She gave 6 to Juan l. Now she has 10 marbles left. How many marbles did Connie have to start with? What equation(s) might represent this story problem?
16 marbles 16-6 since she she gave 6 and still has 10 left
-7( 2y - 3x + 9 ) =
Plz help
Answer:
21x - 14y - 63
Step-by-step explanation:
Rearrange the terms so it's: -7(-3x + 2y + 9)
Then distribute it and you have your answer, unless you know what x and y are
Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?
Answer:
Probability: 140/210= 14/21How to get 14 equal pieces from 6.3m of cord
PLEASE ANSWER THIS QUESTION IS IN THE IMAGE!! DUE TODAY!
20 POINTS!
I cannot do the math on this but the answer equals to 4 and 1/14
Based on the scatterplot below what is the most likely value for pounds of apples phone number of Apples is 60
What is the distance between the points (4, 3) and (1,-1) on the coordinate
plane?
please helppp!!!!!! im giving all my points left
A teacher wants to compare how two classes have performed on a test they have taken. Should the teacher report the test mean or the test median? Which measure might describe the data set better? Why?
Your response should be 3-5 sentences long.
Answer: median
Step-by-step explanation: In this situation the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation
Robert has 7 pounds of ground beef. He is dividing the beef into burgers that are each 1/3 of a pound. How many burgers can he make
I need help with this question.
9514 1404 393
Answer:
1.13 feet
Step-by-step explanation:
We know that the sine relation is ...
Sin = Opposite/Hypotenuse
so the length (L) of the ramp surface will be ...
sin(angle) = 2/L
L = 2/sin(angle)
For 18°, the ramp length will be about ...
L = 2/sin(18°) ≈ 6.472 . . . . feet
For 22°, the ramp length will be about ...
L = 2/sin(22°) ≈ 5.339 . . . . feet
The difference in lengths is about ...
6.472 -5.339 = 1.133 ≈ 1.13 . . . . feet
Determine whether the given value is a solution to the equation.
A. x + 15 = 10; x=5
B.m/3=11 ; m=33
C. 5n=42; x=7
Answer:
B) m/3=11 ; m=33
Step-by-step explanation:
First, I substituted in my 33 in the m in me m place. Then, divide 33 by 3 and you get 11=11, and that is a true statement. I hope this helps :)
Hi. I need help with math. 8th grade.
Answer:
260 is the answer. jjrjejjehene
(fractions) 3/4 + 1/5
Answer:
19/20
Step-by-step explanation:
write all numerators above the least common denominator 20
15+4/20
add the numbers
19/20
Answer: 19/20
Step-by-step explanation:
Find your common denominator
3/4
Multiply by 5
15/20
1/5
Multiply by 4
4/20 + 15/20= 19/20
Hope this helped :)
I have a rectangular prism 9 ft 15 ft by 8 feet I need to find the surface area and the volume
Answer:
Step-by-step explanation:
A=2(xy+xz+yz) where x,y,z are its dimensions
A=2(9(15)+9(8)+15(8))
A=2(135+72+120)
A=2(327)
A=654ft^2
V=xyz
V=9(15)8
V=1080ft^3
Can y’all help me on question 16?!
Answer:
[tex]e^{2} - 21[/tex]
Step-by-step explanation:
Hey there!
Let's get you your answer!
We have to multiply e by e. Then we need to subtract 21 from it. That would look like this: [tex]e^{2} - 21[/tex]
Hope that helps!
Find sequence 10 5/22, 9, 7 17/22, ___, 5 7/22
Answer:
6⁶/11
Step-by-step explanation:
adding -27/22 to the previous number will give you the next number in the sequence
10 5/22 + -27/22 = 9
9 + -27/22 = 7 17/22
7 17/22 + -27/22 = 6 6/11
6 6/11 + -27/22 = 5 7/22
if f(x) =2((x)), find f(-1/4)
Answer:
Combine
f and 1/4.
and u get - f/4
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
2(-1/4)
7x2 + 4x - x2 whats the answer?!?
Answer:
14 + 2x I think
Step-by-step explanation:
Wait for more responses if needed
Answer:
[tex] {6x}^{2} + 4x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]
2) Simplify.
[tex] {6x}^{2} + 4x[/tex]
Therefor, the answer is 6x² + 4x.
Help me out thanks !!!!!
Answer:
B) ∠SBY = 117°
Step-by-step explanation:
interior angles in a pentagon = (5x180) - 360 = 540°
each angle = 540/5 = 108°
interior angles in a octagon = (8x180) - 360 = 1080°
each angle = 1080/8 = 135°
∠SBY = 360 - 108 - 135 = 117°
what is the value of the exponital expression below 36 1/2
help me pleaseee! thank you!!!
Answer:
you shouldn't be cheating kid
Please help solve this angle problem! It is due today!
Answer:
The answer is B.
Step-by-step explanation:
Two angles that add up to 90° are called complementary angles.
Angles A and B are complimentary angles. Complimentary angles are angles which add up to exactly 90 degrees.
They are often confused with supplementary angles, but supplementaries add up to 180.
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATHH
Answer:
990
Step-by-step explanation:
(21*18*2)+(21*3*2)+(18*3*2)
=990
Point KK is located at (5,-4)(5,−4) on the coordinate plane. Point KK is reflected over the xx-axis to create point K'K
What ordered pair describes the location of K'?K
Answer:
The ordered pair that describes the location of K' is (5,4).
Step-by-step explanation:
Reflection over the x-axis:
When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So
(x,y) -> (x,-y)
In this question:
Point K(5,-4)
Reflection over the x-axis:
(5,-4) -> (5,-(-4)) -> (5,4)
The ordered pair that describes the location of K' is (5,4).
Kimberly has $80. She wants to purchase a school bag for $16 and as many pairs of shoes as she can. Each pair of shoes is $8. Write an inequality for the number of school shoes she can purchase.
A. 16x + 8 ≤ 80
B. 80 + 16 ≤ 8x
C. 16x + 8x ≤ 80
D. 8x + 16 ≤ 80
Answer:
D
Step-by-step explanation:
a company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. suppose the probability distribution of the lifetimes of the participants in the plan is approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years. nine participants are randomly selected. what is the probability that the average age at death of these nine participants will exceed 68 years
Answer:
0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.
This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]
What is the probability that the average age at death of these nine participants will exceed 68 years?
This is 1 subtracted by the pvalue of Z when X = 68. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{68 - 66.3}{1.2}[/tex]
[tex]Z = 1.42[/tex]
[tex]Z = 1.42[/tex] has a pvalue of 0.9222
1 - 0.9222 = 0.0778
0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years
Can you help me on question nine please?!
Answer:
24
Step-by-step explanation:
plug in 2
2^3+7(2)+2
2×2×2+14+2
8+14+2
24
2/5 x 30 pls help me
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12.