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rosijanka [135]
2 years ago
14

ABCD is a parallelogram. What is the measure of ∠ACD?

Mathematics
1 answer:
Igoryamba2 years ago
8 0

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

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Answer:

  1. 2x + 4 = 36
  2. 2x = 36-4
  3. 2x = 32
  4. x = 32/2
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Step-by-step explanation:

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What is the surface area of a cylinder with a diameter of 8 and a height of 18?Express the answer in terms of pi
viktelen [127]

Step-by-step explanation:

diameter: 8

radius: 4

height: 18

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4 0
3 years ago
A rectangular rug has a perimeter of 20 feet. The length of the rug is 6 feet. What is the width of the rug in inches?
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Answer:

48 in

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The length of the rug is 6 feet. We know this must account for 2 sides of the rug, so let's multiply 6 by 2.

6 × 2 = 12

Now subtract 12 from 20.

20 - 12 = 8

Now divide 8 by 2 to find the measurement of the remaining two sides.

8 ÷ 2 = 4.

The width of the rug is 4 feet. The question wants to find the width in inches, however. So multiply 4 by 12 because there are 12 inches in each foot.

4 × 12 = 48

The width of the rug is 48 inches.

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