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Alisiya [41]
3 years ago
15

What is the measure of angle 7?

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

m<1 = m<4 by vertical  angles theorem

3x + 10 = 4x - 15

-1x = -25

x = 25

m<1 + m<7 = 180 if parallel alternate interior angles supplementary

3x + 10 + m<7 = 180

3(25) + 10 + m<7 = 180

75 + m<7 = 180

m<7 = 105°

Hope this helps! ;)

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Area of the triangle: 1/2 x 6 x 8 = 24 square ft.

Area of half circle: 1/2 x 3.14 x 4^2 = 25.12 square feet.

Total area : 24 + 25.12 = 49.12 square feet.

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Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular
Valentin [98]

The amount of fabric needed to cover 8 blocks is 192cm.

<h3>How much fabric is needed to cover 8 blocks?</h3>

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

  • l = length
  • w = width
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2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

To learn more about rectangular prisms, please check: brainly.com/question/8890358

3 0
3 years ago
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Explain why 1/3 is or isnt an irrational number
Afina-wow [57]

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.

hope it helps!

5 0
3 years ago
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S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : 0.9*2=1.8 and 1.2*2=2.4

The formula of area of rhombus is : \frac{pq}{2} where p and q are the length of diagonals.

So plugging the values of diagonals in formula, the area will be :

Area = \frac{1.8*2.4}{2}

Area = \frac{4.32}{2}

Area = 2.16 \ m^2   ................. Answer

Hope it will help :)

6 0
3 years ago
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