Question

Can anyone help me solve for x for this problem which is about Proportionality and Midsegment.

Answer 1

4/(x - 3) = (x - 7)/35

(x - 3)(x - 7) = 140

x² - 10x + 21 = 140

x² - 10x - 119 = 0

(x + 7)(x - 17) = 0

x = 17 (x = -7 is extraneous)