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sukhopar [10]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

x = 24

Step-by-step explanation:

1.) put the equations together and equal them to 180

2x + 4 + 6x - 16 = 180

2.) combine like terms

8x - 12 = 180

3.) divide both sides by 8

8x = 192

4.) simplify

x = 24

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The triangles shown below may not be congruent.<br> A. True<br> B. False
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15.00 + 1.75x &gt; 7.50 + 2.25
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3 years ago
The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i
AfilCa [17]

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

  • Both triangles are identical
  • Both rectangles are different
  • There are values in units^2 given
  • There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation                                                 A = 1/2(bh)

Substitute                                                           A = 1/2(4*3)

Simplify                                                               A = 1/2(12)

Solve                                                                   A = 6

Double                                                                     *2

                                                                           A = 12 u^2

Rectangles

Set up equation                                                 A = lh

Substitute                                                           A = (14)(3)

Simplify                                                               A = 42 u^2

Set up equation                                                 A = lh

Substitute                                                           A = [14-(4+4)](3)

Simplify                                                               A = (14-8)(3)

Simplify                                                               A = (6)(3)

Multiply                                                               A = 18 u^2

Total Area

Set up equation                                                 A = R1+R2+T

Substitute                                                           A = 42 + 18 + 12

Simplify                                                               A = 60 + 12

Solve                                                                   A = 72 u^2

<h3>Answer: 72 u^2</h3>
4 0
2 years ago
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