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Mumz [18]
4 years ago
5

Figure ABCD is a square. Angle B measures 15 x minus 30 degrees. Find the value of x.

Mathematics
1 answer:
Yuliya22 [10]4 years ago
3 0
A square has four 90° angles.  So:

15x-30=90  add 30 to both sides

15x=120  divide both sides by 15

x=8°
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Answer:

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Step-by-step explanation:

<h3>1.</h3>

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

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<h3>2.</h3>

The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

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24 feet of baseboard are needed.

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<em>Additional comment</em>

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

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Question 1 of 10
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Step-by-step explanation:

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