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Dafna11 [192]
3 years ago
5

Given: Quadrilateral DEFG

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0
We know that
The inscribed angle Theorem states that t<span>he inscribed angle measures half of the arc it comprises.
</span>so
m∠D=(1/2)*[arc EFG]
and
m∠F=(1/2)*[arc GDE]

arc EFG+arc GDE=360°-------> full circle

applying multiplication property of equality
(1/2)*arc EFG+(1/2)*arc GDE=180°

applying substitution property of equality
m∠D=(1/2)*[arc EFG]
m∠F=(1/2)*[arc GDE]
(1/2)*arc EFG+(1/2)*arc GDE=180°----> m∠D+m∠F=180°

the answer in the attached figure

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Step-by-step explanation:

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2 years ago
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I might be misreading something here but if:

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3 0
3 years ago
Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk
Mrrafil [7]

Answer:

The 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

= \frac{6}{100}

= 0.06

3% is written in the decimal form

= \frac{3}{100}

= 0.03

5% is written in the decimal form

= \frac{5}{100}

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x  - 0.03x = 1.5 - 0.9

0.03x  = 0.6

x = \frac{0.6}{0.03}

x = 20 quarts for 6% butterfat milk  .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk  .

Than 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .




5 0
4 years ago
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Step-by-step explanation:

1 is 8 because 8 × 1 is 8

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3 is 24 because 8 × 3 is 24

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5 is 40 because 8 × 5 is 40

6 is 48 because 8 × 6 is 48

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9 is 72 because 8 × 9 is 72

10 is 80 because 8 × 10 is 80

8 0
3 years ago
Which of the following equations could be used to find the value of 3,550 ÷ 25?
fiasKO [112]

Answer:

<em>A is correct answer</em>

Step-by-step explanation:

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(3550) \div 25

=  =  > 3550 \div 25

Thanks

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8 0
2 years ago
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