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s344n2d4d5 [400]
3 years ago
15

Please help me and use laws of exponents​

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

5^2x ÷ 5^-3 = 5⁵(5×5×5×5×5)

5^2x ÷ 1/5³(5×5×5) = 3125

5^2x ÷ 1/125 = 3125

<u>5^2 × 4</u> = 3125

125

<u>5</u><u>⁸</u><u>(5×5×5×5×5×5</u><u>×</u><u>5</u><u>×</u><u>5</u><u>)</u> = 3125

125

<u>390625</u> = 3125

125

so the value X is = 4

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The height of the statue is of 35 feet, applying similarity of triangles.

<h3>What are similar triangles?</h3>

Similar triangles are triangles that have congruent angle measures, thus the measures of their side lengths are proportional. This relation can be proven from the law of sines.

In the context of this problem, there are two similar right triangles, in which:

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  • The base formed by Minh's height, of 12 ft, is proportional to the base formed by the statue's height, of 84 ft.

Hence the following proportional relationship is established:

5/x = 12/84

Applying cross multiplication, it is found that:

12x = 84 x 5

Simplifying by 12, the expression is written as follows:

x = 7 x 5 (as 84/12 = 7).

x = 35 feet, which is the height of the statue.

A similar problem, also involving similarity of triangles, is presented at brainly.com/question/305520

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How many 3-letter combinations can be made from this set if no letter can be repeated?
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Step-by-step explanation:

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Fiona is not correct because a larger part of the square is white.

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