Question

Solve for x. Round your answer to the nearest tenth and type it in the blank without "x=".

Answer 1

13.5

Explanation:

We can solve for x using the side splitter theorem, assuming that the two triangles' bases are parallel.

`\frac{\text{segment of left side}}{\text{left side}} = \frac{\text{segment of right side}}{\text{right side}}`

↓ plugging in the lengths given in the diagram

`(4)/(4 + 5) = (6)/(x)`

`(4)/(9) = (6)/(x)`

↓ cross-multiplying

`4x = 9(6)`

`4x = 54`

↓ dividing both sides by 4

`x = 13.5`