Work out the value of x.

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

67.5 degrees

Step-by-step explanation:

The angles at the center of the figure = 360 degrees

Therefore, 3x + x + 90 degrees = 360 degrees

simplifying:

4x + 90 degrees = 360 degrees

4x = 360 - 90

4x = 270 degrees

x = 270÷ 4

x = 67.5 degrees

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Read 2 more answers

Helen's house is located on a rectangular lot that is1 1-8 miles by 9/10 mile.Estimate the distance around the lot

klemol [59]

Answer: The distance around the lot is given by

$4\frac{1}{20}\ miles$

Step-by-step explanation:

Since we have given that

Length of rectangular lot is given by

$1\frac{1}{8}\\\\=\frac{9}{8}\ miles$

Width of rectangular lot is given by

$\frac{9}{10}\ mile$

We need to find the distance around the lot.

As we know the formula for "Perimeter of rectangle":

$Perimeter=2(Length+Width)\\\\Perimeter=2(\frac{9}{8}+\frac{9}{10})\\\\Perimeter=2(\frac{45+36}{40})\\\\Perimeter=2\times \frac{81}{40}\\\\Perimeter=\frac{81}{20}\\\\Perimeter=4\frac{1}{20}\ miles$