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LenKa [72]
3 years ago
12

The measures of two supplementary angles are (3x + 9)° and (2x + 2)°. What is the measure of the smaller angle? A. 16.6° B. 69.6

° C. 22.6° D. 110.4°
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°, hence

3x + 9 + 2x + 2 = 180, that is

5x + 11 = 180 ( subtract 11 from both sides )

5x = 169 ( divide both sides by 5 )

x = 33.8

Hence the smaller angle has a measure of

2x + 2 = (2 × 33.8) + 2 = 67.6 + 2 = 69.6° → B

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Robert is inspecting a shipment of 22 inch pipes. The length of the pipes may vary by 1%. What is the range of allowable lengths
Slav-nsk [51]

Answer:

The allowable lengths of pipe is from 21.78 inch to 22.22 inch.

Step-by-step explanation:

The length of the each pipe in the shipment =  22 inch

The variation in the length of pipes  = 1%

⇒The allowable length of pipe in the inspection  = 22 inch ± 1%

Now, 1% of 22 = \frac{1}{100}  \times 22 = 0.22

So,  22 inch + 1% = 22 inch + 0.22 =  22.22 inch

and 22 inch -  1% = 22 inch - 0.22 =  21.78 inch

⇒ 22 inch ± 1%  =  22.22 inch and 21.78 inch

Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.

3 0
3 years ago
-8x+32=4(-2-4x)<br>What does X equal ​
marshall27 [118]

Answer:

x = - 5

Step-by-step explanation:

Given

- 8x + 32 = 4(- 2 - 4x) ← distribute parenthesis on right side

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8x = - 40 ( divide both sides by 8 )

x = - 5

7 0
3 years ago
Tell the measure of the angle in degrees 1/12
Charra [1.4K]

i believe the answer should be 30 degrees

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The answer is 4/5.

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3 years ago
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