Answer:
1. d
2. d
3. c
explanation
1. reflection, rotation, and dilations are all transformations
2. congruent shapes have to have the same shape and size, meaning they also have the same angle measures
3. sometimes, shapes may have the same area and perimeter but be different
Answer:
7. x = 3
Step-by-step explanation:
To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.
7. 20x - 9 + 10x + 9 + 90 = 180 Subtract 90 from both sides.
20x - 9 + 10x + 9 = 90 Add -9 + 9 = 0
20x + 10x = 90 Add like terms 20x + 10x = 30x
30x = 90 Divide both sides by 30.
x = 3
Repeat this process for each problem.
Answer:
Answer is 
Step-by-step explanation:
To find the interval of x. Use our equations to equal each other.
Integrate.
![\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E3%7D%7B3%7D%2Bx%5E2%5C%5C%28%5Cfrac%7B-2%5E3%7D%7B3%7D%2B2%5E2%29-%5B%5Cfrac%7B-0%5E3%7D%7B3%7D%2B0%5E2%5D%5C%5C-%5Cfrac%7B8%7D%7B3%7D%20%2B4-0%5C%5C-%5Cfrac%7B8%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%20%20%3D4%2F3)
Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.
Proof Check your interval of x.
Answer:
x=4.5
Step-by-step explanation:
Given the equation 
, we simplify as:
#We further simplify as multiples of 9(divide by 9 to solve for x):
Hence, from our simplification the equation has the same value as x=4.5
