Question

Find n and r 10 pointsss

Answer 1

Answer/Step-by-step explanation:

The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.

This means:

`(9.8)/(4.3) = (r)/(5.1) = (n)/(2.7)`

Solve for variable r and n respectively.

Thus:

`(9.8)/(4.3) = (r)/(5.1)`

Multiply both besides by 5.1

`(9.8)/(4.3) * 5.1 = (r)/(5.1) * 5.1`

`(9.8 * 5.1)/(4.3) = r`

11.6 = r (nearest tenth)

Also,

`(9.8)/(4.3) = (n)/(2.7)`

Multiply both besides by 2.7

`(9.8)/(4.3) * 2.7 = (n)/(5.1) * 2.7`

`(9.8 * 2.7)/(4.3) = r`

6.2 = n (nearest tenth)