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:

$\frac{9.8}{4.3} = \frac{r}{5.1} = \frac{n}{2.7}$

Solve for variable r and n respectively.

Thus:

$\frac{9.8}{4.3} = \frac{r}{5.1}$

Multiply both besides by 5.1

$\frac{9.8}{4.3} \times 5.1 = \frac{r}{5.1} \times 5.1$

$\frac{9.8 \times 5.1}{4.3} = r$

11.6 = r (nearest tenth)

Also,

$\frac{9.8}{4.3} = \frac{n}{2.7}$

Multiply both besides by 2.7

$\frac{9.8}{4.3} \times 2.7 = \frac{n}{5.1} \times 2.7$

$\frac{9.8 \times 2.7}{4.3} = r$

6.2 = n (nearest tenth)