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Crazy boy [7]
3 years ago
11

Perimeter is a measure of distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of th

e triangle
Mathematics
1 answer:
Alexxx [7]3 years ago
3 0
Perimeter = 0.75 * 3 = 2.25 <span>inches</span>
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Darya [45]
<h3>Answer:  x = 9</h3>

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

  • angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
  • angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

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Step-by-step explanation:

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Definition:

Complementary angles are two angles whose measures have a sum of 90 degrees.

The angles measuring x and 71 are complementary angles.

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