Question

Find m.

3 1/3 7 1/2 1 19 1/5

Answer 1

`19(1)/(5)`

Explanation:

We are given two similar triangles. In the small triangle: on one side there is 5, and in the big triangle the number is 12.

Step 1: find the proportionality between 12 and 5

12 and 5 are at the same place, so, therefore, to find it, divide:

`(12)/(5)=2(2)/(5)`

Step 2: use the proportion we found to multiply to 8

If we multiply
`2(2)/(5)` to 8, it would be proportional to 12 and 5, since these are similar shapes.

`(12)/(5)* (8)/(1)`

`=(12* \:8)/(5* \:1)`

`=(96)/(5* \:1)`

`=(96)/(5)`

`\bold{=19(1)/(5)}`

Therefore,
`m = 19(1)/(5)`