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Phoenix [80]
3 years ago
12

One supplementary angle is 12 degrees less than twice the other. Find two supplementary angles.

Mathematics
1 answer:
9966 [12]3 years ago
4 0

Answer:

64° and 116°

Step-by-step explanation:

Supplementary angles sum to 180°

let one angle be x then the other is 2x - 12 ( 12 less than twice the other )

Sum the 2 angles and equate to 180

x + 2x - 12 = 180

3x - 12 = 180 ( add 12 to both sides )

3x = 192 ( divide both sides by 3 )

x = 64

The 2 angles are x = 64° and 2x - 12 = (2 × 64) - 12 = 128 - 12 = 116°


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Answer:

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Step-by-step explanation:

We have that one side of the rhombus is equal to 4 cm and an angle of the rhombus is 110 degrees. We know that the adjacent sides of a rhombus are supplementary, which means that the sum of the angles must be 180 degrees.

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7 0
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Can some one please help me with these five questions
valina [46]

Answer:

1)PT = 21 units

2)Option D

3)Option A

4)∠EFG = 2(24) +15 = 63 degrees

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5) circumference = 21.98 cm

Step-by-step explanation:

1) As the T is midpoint, PT is equal to TQ in magnitude.

  Thus, 4x+1=6x-9

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x=5.

Thus, PT = 4(5) + 1 = 21

2) The planes XTS and VRS intersect in the line SW, and the intersection is perpendicular.

3)For a line to be defined, it must have 2 points, start and end.

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4)As the angles are linear pair, their sum is 180 degrees.

Thus, 2n+15+4n+21 = 180

6n = 144

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∠GFH= 4(24) +21 = 117 degrees

5) diameter = 7 cm

radius = 3.5 cm

circumference = 2\pi R = 2\pi (3.5) = 2(3.14)(3.5) = 21.98 cm

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