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Bumek [7]
3 years ago
14

Solve for the unknown values : x = _____ degrees y = _____ degrees

Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

Step-by-step explanation:

creativ13 [48]3 years ago
6 0

Given:

One interior angle is 50°.

Exterior angle is 95°.

To find:

The value of x and y.

Solution:

Exterior angle property of triangle:

The measure of an exterior angle is equal to the sum of the measures of the opposite interior angles.

⇒ 50° + y = 95°

Subtract 50° from both sides.

⇒ 50° + y - 50° = 95° - 50°

⇒ y = 45°

Sum of the adjacent angles in the straight line is 180°.

⇒ x + 95° = 180°

Subtract 95° from both sides.

⇒ x + 95° - 95° = 180° - 95°

⇒ x = 85°

The value of x is 85° and y is 45°.

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Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

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3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

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Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

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