Answer:
a) True.
b) False.
c) True.
d) False.
e) True.
Step-by-step explanation:
A. ∠F corresponds to ∠F'. True.
B. Segment EE' is parallel to segment FF'. False. They intersect each other at the origin.
C. The distance from point D' to the origin is One-third the distance of point D to the origin. True.
We can get the ratio D'E'/DE:
![D'E'=\sqrt{(-3-0)^{2} +(-3-0)^{2} } =\sqrt{18}=3\sqrt{2} \\ DE=\sqrt{(-9-0)^{2} +(-9-0)^{2} } =\sqrt{162}=9\sqrt{2}\\ \frac{D'E'}{DE} =\frac{3\sqrt{2}}{9\sqrt{2}} =\frac{1}{3} \\ D'E'=\frac{1}{3}*DE](https://tex.z-dn.net/?f=D%27E%27%3D%5Csqrt%7B%28-3-0%29%5E%7B2%7D%20%2B%28-3-0%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B18%7D%3D3%5Csqrt%7B2%7D%20%20%5C%5C%20DE%3D%5Csqrt%7B%28-9-0%29%5E%7B2%7D%20%2B%28-9-0%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B162%7D%3D9%5Csqrt%7B2%7D%5C%5C%20%5Cfrac%7BD%27E%27%7D%7BDE%7D%20%3D%5Cfrac%7B3%5Csqrt%7B2%7D%7D%7B9%5Csqrt%7B2%7D%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%20D%27E%27%3D%5Cfrac%7B1%7D%7B3%7D%2ADE)
D. The measure of ∠E' is One-third the measure of ∠E. False.
E. △DEF ~ △D'E'F'. True. They are similar triangles.
Gray:White, Gray to White, Gray/White
160/10=16 cups per gallon
1.5x16 = 24 cups of water
Written in math symbols you'd have
7+x*y
Try them and see.
For the first:
3(-3) + 0 = -9 . . . . not > -8
3(-2) + (-1) = -7 . . . is > -8 . . . . . 2) (-2, -1) is a solution
For the second:
4 - 4(-2) = 12 . . . . not ≤ -6
-2 -4(1) = -6 . . . . . is ≤ -6 . . . . . . 2. (1, -2) is a solution