Answer:
[tex]19\frac{1}{5}[/tex]
Step-by-step 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:
[tex]\frac{12}{5}=2\frac{2}{5}[/tex]
Step 2: use the proportion we found to multiply to 8
If we multiply [tex]2\frac{2}{5}[/tex] to 8, it would be proportional to 12 and 5, since these are similar shapes.
[tex]\frac{12}{5}\times \frac{8}{1}[/tex]
[tex]=\frac{12\times \:8}{5\times \:1}[/tex]
[tex]=\frac{96}{5\times \:1}[/tex]
[tex]=\frac{96}{5}[/tex]
[tex]\bold{=19\frac{1}{5}}[/tex]
Therefore, [tex]m = 19\frac{1}{5}[/tex]
