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lilavasa [31]
2 years ago
10

Please Help! :) Solve for X. The polygons in each pair are similar.

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
8 0

Answer:

x=2.65

Step-by-step explanation:

First, we need to figure out how much the length of the sides is changing between the equations. In this case it is changing by a factor of 2.5. Now we need to work backwards. First use this equation:

4x-5*2.5=14

This is because whatever the length of the side with x is, will be 14/2.5. So divide both sides by 2.5:

4x-5=5.6

Next, add 5 to both sides:

4x=10.6

Then divide both sides by 4:

x=2.65

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Answer: m\angle C=53\°

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.

Then, to find an angle α, this is:

\alpha =arcsin(\frac{opposite}{hypotenuse})

In this case, you can identify that:

\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm

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m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°

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