Question

Find the value of x…..

Answer 1

x = 7

Explanation:

Intersecting secants theorem:

When two secants intersect outside the circle, the product of their segments are equal.

(3x + 15) * 15 = (x+20) * 20

3x * 15 + 15*15 = x*20 + 20*20 {Distributive property}

45x + 225 = 20x + 400

Subtract 225 from both sides,

45x = 20x + 400 - 225

45x = 20x + 175

Subtract 20x from both sides,

45x - 20x = 175

25x = 175

Divide both sides by 25,

x = 175 ÷ 25

`\boxed{x=7}`