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Ymorist [56]
3 years ago
11

Which is the value of x?

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

lower Right.

Step-by-step explanation:

Remark

The two angles share the same side of vertically opposite angles. That makes them supplementary which means the two angles add to 180 degrees.

Equation

4x + 8x + 12 = 180         Combine like terms on the left

Solution

  • 12x + 12 = 180                Subtract 12 from both sides
  • 12x = 180 - 12                 Combine
  • 12x = 168                        Divide by 12
  • x = 168/12
  • x = 14

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What is the simplified form of 5x-9x
Nezavi [6.7K]

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3 0
3 years ago
The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 110 inches. Find the length and the width.
nataly862011 [7]

Answer:

  • Length = 43 inches
  • Width = 12 inches

Step-by-step explanation:

Perimeter of a rectangle = 2 * ( L + W)

The length of a rectangle is 5 inches less than 4 times the width.

Assume the width is x. Length is:

4x - 5

Equation is therefore:

2 * (4x - 5 + x) = 110

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= 4x - 5

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6 0
3 years ago
HELP!! What is the approximate measure of angle x in the triangle shown?
Alex Ar [27]
<h3>Answer:   D)  130.5 degrees</h3>

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

Work Shown:

c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\

Note: I used the law of cosines. Make sure your calculator is in degree mode.

6 0
3 years ago
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