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Zigmanuir [339]
3 years ago
8

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary

Mathematics
1 answer:
k0ka [10]3 years ago
4 0
Hello,

very simple they intercept supplementary arcs. (making a sum of 360°/2 for inscribed angles )
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A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with the peanuts to get a batch of mixed nut
seraphim [82]

Answer:

18 pounds of cashews are needed.

Step-by-step explanation:

Given;

A manager bought 12 pounds of peanuts for $30.

Price of peanut per pound P = $30/12 = $2.5

Price of cashew per pound C = $5

Price of mixed nut per pound M = $4

Let x represent the proportion of peanut in the mixed nut.

The proportion of cashew will then be y = (1-x), so;

xP + (1-x)C = M

Substituting the values;

x(2.5) + (1-x)5 = 4

2.5x + 5 -5x = 4

2.5x - 5x = 4 -5

-2.5x = -1

x = 1/2.5 = 0.4

Proportion of cashew is;

y = 1-x = 1-0.4 = 0.6

For 12 pounds of peanut the corresponding pounds of cashew needed is;

A = 12/x × y

A = 12/0.4 × 0.6 = 18 pounds

18 pounds of cashews are needed.

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3 years ago
Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <2?
Tamiku [17]

Answer:

the answer is 25 in this question hope it helped

5 0
2 years ago
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Jill has $1.25 in her pocket. The money is in quarters and dimes. There are a total of 8 coins. How many quarters and dimes does
erica [24]

Answer:

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Step-by-step explanation:

Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...

  0.25q +0.10(8-q) = 1.25

  0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses

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Jill has 3 quarters and 5 dimes.

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3 years ago
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Pls answer and show WORK pls do it right
adelina 88 [10]

Answer:

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Step-by-step explanation:

1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!

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There are 36 students in mrs.Keaton's sixth grade class. If 5/12 of her students are girls, how many girls are in the class?
olga_2 [115]
There are 15 girls in the class. 
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