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storchak [24]
3 years ago
15

WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
hoa [83]3 years ago
5 0

9514 1404 393

Answer:

  • a = 17
  • ∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

  (4a +10) +(6a) = 180

  10a = 170 . . . . . . . . . . subtract 10

  a = 17 . . . . . . . . . . . . . divide by 10

__

Then the measure of angle ABC is ...

  ∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

  ∠ABC = 78°

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The perimeter of a rectangular park is 500 feet. The length of the park is 100 feet longer than the width. Find the length of th
lord [1]

Answer:

The length of the park is 175 feet

Step-by-step explanation:

Let us solve the question

∵ The perimeter of a rectangular park is 500 feet

∵ The formula of the perimeter of the rectangle is P = 2(L + W)

∵ L is the length and W is the width

→ Equate the rule of the perimeter by 500

∴ 2(L + W) = 500

→ Divide both sides by 2

∴ L + W = 250 ⇒ (1)

∵ The length of the park is 100 feet longer than the width

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→ Substitute L in (1) by (2)

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→ Add the like terms

∵ (W + W) + 100 = 250

∴ 2W + 100 = 250

→ Subtract 100 from both sides

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∴ 2W = 150

→ Divide both sides by 2

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→ Substitute the value of W in (2) to find L

∵ L = 75 + 100 = 175

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See explaination

Step-by-step explanation:

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