13.7k views
2 votes
Find the value of x. A. -7 B. does not exist C. 35 D. 26

Find the value of x. A. -7 B. does not exist C. 35 D. 26-example-1
User Janah
by
5.7k points

2 Answers

1 vote

Answer:

C. 35

Explanation:

x^2 + 12^2 = (x + 2)^2

x^2 + 144 = x^2 + 4x + 4

144 = 4x + 4

4x = 140

x = 35

User Deniz Ozger
by
6.2k points
2 votes

Answer:

C

Explanation:

Since this is a right triangle, we can use the Pythagorean Theorem (a² + b² = c², in this case a = x, b = 12 and c = x + 2) to solve for x.

x² + 12² = (x + 2)²

x² + 144 = x² + 4x + 4

144 = 4x + 4

140 = 4x

x = 35

User Arcady Bob
by
6.1k points