Parallel lines have the same slope. So the slope of the other line =2/7
<4 ≅ <1, 3 <≅ 2 Corresponding angles postulate
ΔACE ≈ ΔBCD Angle angle similarity postulate
(CB + BA)/CB = (CD + DE)/CD Substitution property of equality
Expand (x - 5)^2
(x - 5)^2 = (x - 5)(x - 5)
Multiply all the terms in the first parenthesis to all the terms in the 2nd:
x * x = x^2
x * -5 = -5x
-5 * x = -5x
-5 * -5 = 25
So we have:
x^2 - 5x - 5x + 25
Combine like terms:
x^2 - 10x + 25
Plug it back in:
y = (x - 5)^2 - 2
y = x^2 - 10x + 25 - 2
Combine like terms:
y = x^2 - 10x + 23
Answer:
<h2>y = 51.2</h2>
Step-by-step explanation: