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castortr0y [4]
3 years ago
12

Can someone please help me solve this?

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

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The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin
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The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

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(15 - 40)W = 1850 - 2600

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W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

3 0
3 years ago
If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
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The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>
  • In geometry, an angle bisector is a line that divides an angle into two equal angles.
  • A bisector is something that divides a shape or thing into two equal portions.
  • An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

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Further simplifying;

46 = 5x+1

Subtract 1 from each side

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45 = 5x

Divide each side by 5

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x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

brainly.com/question/14399747

#SPJ9

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