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Aleksandr-060686 [28]
3 years ago
11

Find the value of x.​

Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0

Answer:

A. 98

Step-by-step explanation:

This is the exterior angle theorem I'm pretty sure.

This means that 24 + x, would equal 122.

So, 24 + x = 122.

Do the algebra. Subtract on both sides, so 122 - 24 would be 98.

So x = 98

Vlada [557]3 years ago
3 0

Angle BAD and angle BAC are supplementary angles, which means they add up to 180 degrees.

180 = 122 + ?

Subtract 122 from both sides.

BAC = 58 degrees.

We know that the sum of all the interior angles of a triangle is 180 degrees.

180 = 24 + 58 + x

Combine like terms.

180 = 82 + x

Subtract 82 from both sides.

98 degrees = x

Answer choice A is correct

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A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside
saw5 [17]

Answer:

<em>1) the exact distance = 9.428571429 feet</em>

<em>the approximate distance = 9.4 feet</em>

<em></em>

<em>2) the exact area = 7.071428571 ft^2</em>

<em>the approximate area = 7 ft^2</em>

<em></em>

Step-by-step explanation:

Required diameter d = 3 feet

1) The distance around the outside of the pit is the circumference of the circle that will be formed by this circular fire pit.

circumference of a circle is given as = πd = \frac{22}{7} x 3 = 9.428571429 feet

the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) The area of the circle that will be formed = \pi d^{2}/4 = \frac{22 *3^{2} }{7*4} = 7.071428571 ft^2

the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

5 0
3 years ago
1 inch = 2.54 centimeters The radius of the hexagon is 30 cm What is the approximate area to be covered by the window in square
lora16 [44]

Answer:

  2.5 square feet

Step-by-step explanation:

The area (A) of a regular hexagon in terms of its side length (s) is ...

  A = (3/2)(√3)s²

The side length in feet is ...

  (30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft

Then the area in square feet is ...

  A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²

The approximate area of the hexagon is 2.5 square feet.

_____

<em>Comment on the question</em>

There is nothing in this problem statement that relates the hexagon to the window area.

5 0
3 years ago
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100








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4 0
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Hi I am a teacher or 52 years old and I am wondering how I can become an online tutor?​
Brrunno [24]

Answer:

Go online and do research, I'm pretty sure you have websites around your area that is looking for tutors

Step-by-step explanation:

4 0
3 years ago
5x+3-2x-2=4 solve for x
mrs_skeptik [129]

Answer:

x=1

Step-by-step explanation:

(5x+−2x)+(3+−2)=4

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6 0
3 years ago
Read 2 more answers
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