Answer:
<h2>x = 28</h2>
Step-by-step explanation:
ΔARP and ΔCRD are similar. Therefore the sides are in proportion:

We have:
AR = 10 + x
CR = x
PR = 15 + 42 = 57
DR = 42
Substitute:
<em>cross multiply</em>
<em>use distributive property</em>

<em>subtract 42x from both sides</em>
<em>divide both sides by 15</em>

Answer:
9
Step-by-step explanation:
So first I created 2 distance forumlas and set them equal to each other

then I simplified them





when k = 9, the two distances are equal
Answer:
B
Step-by-step explanation:
The point starts at 250 on the Y-Axis
Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)
Answer:
c > 9
Step-by-step explanation:
2c/3 + 1 > 7
subtract 1 from both sides
2c/3 > 6
multiply both sides by 3
2c > 18
divide both sides by 2
c > 9