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nignag [31]
3 years ago
7

Angle dfg and angle fkl are complementary angles, m angle dfg= x+4, and m anlge jkl = x+10 . Find the measure of each angle

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

42° and 48°

Step-by-step explanation:

Complementary angles sum to 90°, hence

x + 10 + x + 4 = 90

2x + 14 = 90 ( subtract 14 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

x + 10 = 38 + 10 = 48° and x + 4 = 38 + 4 = 42°


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A right rectangular prism is 6.5 cm by 14 cm by 5 cm. What is the surface area of the prism?
irina1246 [14]

Answer:

387

Step-by-step explanation:

Formula: 2(lw+hl+wh)

2(14*6.5+14*5+6.5*5) = 387

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3 years ago
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There are 80 red balloons and 20 green balloons each package of balloons.
Stella [2.4K]

Answer:

A. 4

Step-by-step explanation:

80 ÷ 20 = 4.

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ACTIVITY 1
aleksklad [387]

Answer:

Question A:

1. 1/2  = 0.5 (Terminating)

2. 5/6  = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6  = 3/5

2. 1.25  = 5/4 = 1 1/4

3. 0.125 = 1/8

Step-by-step explanation:

A. Write the fraction or mixed number as a terminating or repeating decimal.

In order to convert a fraction into decimal, the numerator has to be divided by denominator.

1. 1/2

The answer is: 0.5 which is a terminating decimal.

2. 5/6

The answer is: 0.833333.. which is a repeating decimal.

3. 2 1/3 (assuming the question is this)

2\frac{1}{3} = \frac{7}{6} = 1.6666666..

The answer is 1.6666666.. which is a repeating decimal.

B. Write the terminating decimal as fraction or mixed number i n simplest form.

1. 0.6

0.6 = \frac{6}{10} = \frac{3}{5}

2. 1.25

1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}

3. 0.125

0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}

Hence,

Question A:

1. 1/2  = 0.5 (Terminating)

2. 5/6  = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6  = 3/5

2. 1.25  = 5/4 = 1 1/4

3. 0.125 = 1/8

7 0
3 years ago
What are the factor pairs of 55 and 5? im on my sisters account.
Aleks04 [339]

Answer:

The factor pairs of 55 and 5 are 1,5,11, and 55

Step-by-step explanation:

55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11.

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Answer:

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