Question

Solve for x please and explain i have having a hard time on this

Answer 1

The parallel lines form similar triangles.

1/5 = (2x - 8)/(2x)

5(2x - 8) = 2x

10x - 40 = 2x

8x = 40

x = 5

Answer 2

Using the Pythagorean theorem with sides of 5 and 8 units, we found the hypotenuse to be
`(√(89))`. Dividing by 2 gives
`(x = (√(89))/(2))`, or approximately 4.72. Rounding 4.72 to the nearest whole number would be 5.

let’s solve for (x). The image shows a right triangle with sides of 5 and 8 units, and a hypotenuse labeled as (2x). We can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, we have:

`[5^2 + 8^2 = (2x)^2 \ 25 + 64 = 4x^2 \ 89 = 4x^2.]`

Taking the square root of both sides gives us:

`[x = (√(89))/(2).]`

So, (x) equals
`((√(89))/(2))`, or approximately 4.72 when rounded to two decimal places.