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vaieri [72.5K]
2 years ago
9

Pls help I don’t know to find the answer

Mathematics
1 answer:
Brrunno [24]2 years ago
5 0

Step-by-step explanation:

the diagonals of a parallelogram are crossing each other exactly at their midpoints. that means the lengths of both sides of a diagonal are equal.

so, we get

x = 7y - 16

and

2x + 5 = 5y

we can use the first equation as an identity directly in the second equation and get

2(7y - 16) + 5 = 5y

14y - 32 + 5 = 5y

14y - 27 = 5y

9y - 27 = 0

9y = 27

y = 3

x = 7y - 16 = 7×3 - 16 = 21 - 16 = 5

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Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.

Option a. 3.2 inches


Solution

PR=3.7 inches; CR=5.6 inches; AC=4.9 inches

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PQ/AC=PR/CR=QR/AR

Replacing the given values in the proportion above:

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