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jolli1 [7]
3 years ago
8

Can someone Help me plz ASAP

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the angles of the trapezoid

  • x°
  • x°
  • 1/2x°
  • 1/2x°

As the sum of angle measure = 360°

i.e.

x+x+\frac{1}{2}x+\frac{1}{2}x=360

x+x+2\cdot \frac{1}{2}x=360

2x+2\cdot \frac{1}{2}x=360

2x+x=360

3x=360

\frac{3x}{3}=\frac{360}{3}

x=120

The value of x = 120°

Hence, the angle measure will be:

  • x°=120
  • x°=120
  • 1/2x°=1/2(120)=60
  • 1/2x°=1/2(120)=60

Therefore, listing the angle measure in order from least to greatest

60°, 60 , 120 , 120°

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A circular swimming pool has diameter 60 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. a concr
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If I read the question correctly, the information about the 80x80 fencing and the grass region are all irrelevant information. 

In order to find the area of the side walk we are going to use the formula A=pi(r^2) where r = the radius. The diameter of the pool is 60 feet and the the sidewalk is 5 feet bigger all around meaning we had 5 feet to both sides of this 60 feet giving you an overall diameter of 70 feet (or 60 + 5*2). To find the radius take half of the diameter. 70/2 = 35. 

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The sidewalk is not a full circle, just a border so we now have to find the area of the actual pool and subtract it from this 1225pi for the sidewalk's area. Same formula, Area = pi(r^2). The diameter of the pool is 60 meaning the radius is 30 (or 60/2). Plug into the equation, pi(30^2) = 900pi.

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