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dalvyx [7]
2 years ago
7

IF l || m , find the values of x and y

Mathematics
1 answer:
egoroff_w [7]2 years ago
5 0

Answer:

x = 8

y = 21

Step-by-step explanation:

(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:

(7x + 12)° = (12x - 28)°

Solve for x

7x + 12 = 12x - 28

Collect like terms

7x - 12x = - 12 - 28

-5x = -40

Divide both sides by -5

-5x/-5 = -40/-5

x = 8

(12x - 28)° + (9y - 77)° = 180° (linear pair)

To find y, plug in the value for x = 8.

12(8) - 28 + 9y - 77 = 180

96 - 28 + 9y - 77 = 180

Combine like terms

- 9 + 9y = 180

Add 9 to both sides

-9 + 9y + 9 = 180 + 9

9y = 189

Divide both sides by 9

9y/9 = 189/9

y = 21

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3 years ago
Chef Daniel had 431 ounces of chocolate frosting in his refrigerator. It takes 8 ounces of frosting to frost one cupcake. How ma
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scoray [572]

Answer:

C) 18 cents

Step-by-step explanation:

Given,

This weeks deal -

Quantity of Flour      Price ($)         Price per pound ($)

3 pounds                    5.25                 (5.25/3) =  1.75

5 pounds                    9.75                 (9.75/3) =   1.95

7 pounds                    12.60                (12.60/3) = 1.80

10 pounds                  14.20                 (14.20/3) = 1.42

12 pounds                  18.24                 (18.24/3) = 1.52

The lowest price per pound is $1.42. Therefore, this is the current week's best deal.

The last week's best deal was = $`1.60/pound

The difference between the unit price for previous week's best deal and this week's best deal = $1.60 - $1.42 = $0.18

Therefore, 18 cents.

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