Question

1. use the pythagorean theorem to solve for x

Explanation:

Step1: Apply Pythagorean theorem

$x^{2}+7^{2}=(x + 1)^{2}$

Step2: Expand right - hand side

$x^{2}+49=x^{2}+2x + 1$

Step3: Simplify the equation

$49=2x + 1$

Step4: Solve for x

$2x=48$, so $x = 24$

Answer:

$x = 24$