Question

11.
diagram: right angle with two angles labeled 5x + 25 and x + 5
solve for x
a) 5 b) 90 c) 25 d) 10

Explanation:

Step1: Identify angle sum

The two angles form a right angle, so their sum is \( 90^\circ \). Thus, \( (5x + 25) + (x + 5) = 90 \).

Step2: Simplify the equation

Combine like terms: \( 5x + x + 25 + 5 = 90 \) → \( 6x + 30 = 90 \).

Step3: Solve for x

Subtract 30 from both sides: \( 6x = 90 - 30 \) → \( 6x = 60 \). Divide by 6: \( x = \frac{60}{6} = 10 \).

Answer:

d) 10