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Using the similar triangles below, solve for x !


Using the similar triangles below, solve for x ! ​-example-1
User Ababak
by
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1 Answer

11 votes

Answer:

Explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42 Cross Multiply

(8x - 2)*49 = 63 * 42 Combine the right.

(8x - 2)*49 = 2646 Divide by 49

8x - 2 = 54 Add 2 to both sides

8x -2+2=54+2 Combine

8x = 56 Divide by 8

8x/8 = 56/8

Answer: x = 7

User Zmogas
by
5.5k points
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