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777dan777 [17]
3 years ago
12

Mrs. Henderson has 60 pens and pencils in her desk. She knows that she has twice as many pencils as pens. She writes the express

ion 2x + x for the total number of pens and pencils, where x is the number of pens. Which number in the set {15, 20, 25, 30} makes this expression equal to 60?
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0
2x + x = 60
3x = 60
x = 60/3
x = 20 <===
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The area of ABCD is 640 cm²

<h3>What is similarity in trapezoid?</h3>

In order for two trapezoids to be similar their corresponding sides must have the same ratio. Since the largest base length in the image is and the corresponding side is , the other base must also be times greater than the corresponding side.

Given:

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Now,

As both trapezoid are similar. So, their corresponding sides must have the same ratio

EF/ AB= BC/ FG= CD/ HG= HE/ DA

So,

area (EFGH) : area(ABCD) = (EF/ AB)²

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40 : area(ABCD) = 1/16

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Hence, Area of trapezoid ABCD = 640 cm²

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