Question

Find CE i’ll mark brainliest someone just pls help lol

Answer 1

Step-by-step explanation:

bc.............................................................

Answer 2

Answer:

CE = 35

Step-by-step explanation:

Δ CBD and Δ CAE are similar thus ratios of corresponding sides are equal, that is

$\frac{CB}{CA}$ = $\frac{CD}{CE}$ , substitute values

$\frac{x-5}{x-5+6}$ = $\frac{14}{14+2x + 3}$ , then

$\frac{x-5}{x+1}$ = $\frac{14}{2x +17}$ ( cross- multiply )

(x - 5)(2x + 17) = 14(x + 1) ← distribute both sides

2x² + 7x - 85 = 14x + 14 ( subtract 14x + 14 from both sides )

2x² - 7x - 99 = 0 ← in standard form

(x - 9)(2x + 11) = 0 ← in factored form

quate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - $\frac{11}{2}$

but x > 0 , thus x = 9

Hence

CE = 2x + 17 = 2(9) + 17 = 18 + 17 = 35