Question

for what value of x is the figure a rectangle?
11x + 5
6x + 15
x = \square (simplify your answer.)

Explanation:

Step1: Set equal diagonals of rectangle

$11x + 5 = 6x + 15$

Step2: Isolate x terms

$11x - 6x = 15 - 5$

Step3: Simplify and solve for x

$5x = 10$
$\frac{5x}{5} = \frac{10}{5}$

Answer:

$2$