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murzikaleks [220]
3 years ago
7

I need help finding the value of X.

Mathematics
2 answers:
Phantasy [73]3 years ago
7 0

Answer:

x=25

Step-by-step explanation:

Since M is the midpoint, you can set your formula up as

43 = 2x-7

43+7=2x

50/2=x

25=x

lina2011 [118]3 years ago
6 0

Answer:

x=25

Step-by-step explanation:

43=2x-7 (since the midpoint separate a line into two equal halves)

43+7=2x

50/2=x

25=x

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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Lapatulllka [165]
Hello!

The formula for the area of a sector can be written as follows:

Area = \frac{1}{2}r^{2}(R)

In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:

1 degree = \frac{pi}{180} radians

Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:

72 degrees = \frac{72pi}{180}

Reduce the fraction on the right side of the equation:

72 degrees = \frac{2pi}{5}

We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:

Area = \frac{1}{2}10^{2}(\frac{2pi}{5})

Simplify the right side of the equation to get the following answer:

Area = 20 pi

We have now proven that the area of one sector is equal to 20 pi.

If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.

I hope this helps!


3 0
3 years ago
Each pants leg on page 8 has an opening with a circumference of 8.5 inches. It took 15 stitches to make 3 inches in width. How m
lord [1]

Answer:

43 stitches.

Step-by-step explanation:

We have been given that each pant's leg has an opening with a circumference of 8.5 inches. It took 15 stitches to make 3 inches in width. We are asked to find the number of stitches required to make up the circumference.

Let us find stitches needed to make 1 inch by dividing 15 by 3.

\text{Stitches needed to make 1 inch}=\frac{15}{3}

\text{Stitches needed to make 1 inch}=5

Since 5 stitches make 1 inch, so to find stitches needed to make 8.5 inches, we will multiply 8.5 by 5 as:

\text{Stitches needed to make 8.5 inches}=5\times 8.5

\text{Stitches needed to make 8.5 inches}=42.5

Upon rounding to nearest stitch, we will get:

\text{Stitches needed to make 8.5 inches}\approx 43

Therefore, 43 stitches will make up the circumference.

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Step-by-step explanation:

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Answer:

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