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3 years ago

Figure a is a scale image of figure b. what is the value of x? please answer asap!

Mathematics

1 answer:

emmainna [20.7K]3 years ago

8 0

<em>Greetings from Brasil...</em>

According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....

BIG/small = BIG/small

small/BIG = small/BIG

12.5/10 = X/16

10/12.5 = 16/X

12.5/10 = X/16

10X = 12.5 · 16

X = 200/10

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2 years ago

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(<br><img src="https://tex.z-dn.net/?f=%28%20%7B8x%7D%5E%7B2%7D%20%20%2B%204x%20%2B%204%29%20-%20%287x%20%2B%209%29" id="TexForm

son4ous [18]

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3 years ago

Could anyone give me the answer to this question?

love history [14]

Answer:

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°

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2 years ago