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oee [108]
3 years ago
10

5 times the complement of an angle is 15 more than two times the supplement of the angle. Find the angle,

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:

The angle measures 25°; the complement measures 65°; the supplement measures 155°.

Step-by-step explanation:

The sum of the measures of two complementary angles is 90.

If the angles measure x and y, then x + y = 90.

Given angle x, then y = 90 - x.

The sum of the measures of two supplementary angles is 180.

If the angles measure x and y, then x + y = 180.

Given angle x, then y = 180 - x.

Let the angle be x.

Its complement is 90 - x.

Its supplement is 180 - x.

5(90 - x) = 2(180 - x) + 15

450 - 5x = 360 - 2x + 15

-3x = -75

Angle: x = 25

Complement: 90 - x = 90 - 25 = 65

Supplement: 180 - x = 180 - 25 = 155

Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.

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Step-by-step explanation:

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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

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Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

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Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

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3 years ago
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6 0
3 years ago
Read 2 more answers
Math 15
avanturin [10]

Answer:

  • c. 126.27 square feet

Step-by-step explanation:

<u>Area of rhombus is:</u>

  • A = pq/2, where p and q are diagonals

<u>We have:</u>

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Correct choice is C

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2 years ago
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