Question

find the value of x 5x-7 3x+10 3.6 7.2 8.5 9.2

Explanation:

Step1: Recognize Tangent Segments

From a single external point, the lengths of two tangent segments to a circle are equal. So, \( 5x - 7 = 3x + 10 \).

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( 5x - 3x - 7 = 10 \) → \( 2x - 7 = 10 \).
Add 7 to both sides: \( 2x = 10 + 7 \) → \( 2x = 17 \).
Divide by 2: \( x = \frac{17}{2} = 8.5 \).

Answer:

8.5