Question

Could anyone give me the answer to this question?

Answer 1

Answer:

36

Step-by-step explanation:

$\angle AOC$ is made up of s + r, and since r is $\frac{3}{5}$ of $\angle AOC$ we know r must be the remaining $\frac{2}{5}$ of $\angle AOC$.

We can solve for $\angle AOC$ by using this equation:

$\frac{2}{5}\angle AOC = 24\\(\frac{2}{5}\angle AOC)\frac{5}{2} = (24)\frac{5}{2}\\ \boxed{\angle AOC = 60}$

1. 2 fifths of  $\angle AOC$ is 24

2. multiply both sides by $\frac{5}{2}$ to isolate $\angle AOC$

3. $\angle AOC$ is 60°

We can now solve for r

$r = \frac{3}{5}\angle AOC\\r = \frac{3}{5}(60)\\\boxed{r = 36}$

1. the equation the problem gave us

2. substitute $\angle AOC$ for 60 (we solved for it before)

3. $r$ is 36°