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1. (5)(8) = (4)(x)

Step-by-step explanation:

We have two chords intersecting each other.

Intersecting chords theorem states that when two chords cut each other, the product of the segments of one is equal to the product of the segments of the other.

Therefore, we would have:

(5)(8) = (4)(x)

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: