Trapezoid STUV is similar to trapezoid NOPQ. What is the length of OP?

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08-02-2021
Mathematics

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Trapezoid STUV is similar to trapezoid NOPQ. What is the length of OP?

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Agentsqydidn Agentsqydidn · Answer 1 · 2021-02-08T15:33:49-05:00

Agentsqydidn Agentsqydidn

08-02-2021

Answer:

F. 4 2/3 centimeters

Step-by-step explanation:

since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.

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MrMistryidn MrMistryidn · Answer 2 · 2021-02-27T03:57:53-05:00

. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.

To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.

(which is the same as the number of sides).

540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.

2. 540°

Sum of Interior Angles of a Polygon

A pentagon has five sides, thus the interior angles add up to 540°, and so on.

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