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Novay_Z [31]
3 years ago
10

Two supplementary angles. One angle is 25 more than the second angle, find the measure of the second angle. The measure of the s

econd angle is
Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer:

  77.5°

Step-by-step explanation:

Let s represent the measure of the second angle. Then the first angle is s+25. These two angles are supplementary, so their sum is 180:

  (s+25) +s = 180

  2s = 155

  s = 77.5

The measure of the second angle is 77.5°.

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A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 30 yd and is 5.1 feet deep. Find the cost for filli
Lelu [443]

Answer:

the cost of filling the pool is $386.3

Step-by-step explanation:

Given;

dimension of the rectangular pool, = 25 yd by 30 yd by 5.1 ft

covert the given dimensions to feet;

1 yd = 3 ft

25 yd = 25 x 3 ft = 75 ft

30 yd = 30 x 3 ft = 90 ft

The volume of the rectangular pool in cubic feet (ft³);

Volume = 75 ft  x 90 ft  x 5.1 ft

Volume = 34,425 ft³

Convert the volume to gallons;

1 ft³ = 7.481 gallons

10,125 ft³ = 34,425 x 7.481 gallons

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The cost per a 1000 gallons is $1.50, then cost of the 257,533.425 gallons is calculated as;

cost = \frac{\$ 1.50}{1000 \ gallons} \times 257,533.425 \ gallons = \$ 386.3

Therefore, the cost of filling the pool is $386.3

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3 years ago
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Aliun [14]

Answer:

3x - 6 = x + 9

2x - 6 = 9

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Step-by-step explanation:

3 0
3 years ago
Solve the equation 6(3x + 4) = 4x-4
Alex

Answer:

x = -2

Step-by-step explanation:

Distribute: 18x + 24 = 4x - 4

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Subtract 24 from both sides: 14x = -28

Divide both sides by 14: x = -2

6 0
4 years ago
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NemiM [27]

Answer:

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Step-by-step explanation:

As we can see that the diagonals bisects so

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10/27

Step-by-step explanation:

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