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kolezko [41]
3 years ago
12

Find the measure of an angle such that the difference between its supplement and 3 times its complement is 46°.

Mathematics
1 answer:
artcher [175]3 years ago
8 0

supplement means the sum of the two angles is 180° → y = 180 - x

complement means the sum of the two angles is 90° → y = 90 - x

supplement - 3(complement) = 46

(180 - x) - 3(90 - x) = 46

(180 - x) - 270 + 3x = 46

2x - 90 = 46

2x = 136

x = 68

Answer: 68°

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A 14- inch pepperoni pizza is sliced into 8 equal pieces. One slice contained 352 calories. Write and solve a division equation
tankabanditka [31]

<em><u>Division equation is:</u></em>

\frac{c}{8} = 352

There are 2816 calories in whole pizza

<em><u>Solution:</u></em>

Given that,

A 14- inch pepperoni pizza is sliced into 8 equal pieces

One slice contained 352 calories

Therefore,

1 slice = 352 calories

Let "c" be the calories

Given that there are 8 equal pieces

<em><u>Therefore, calories in 8 pieces are:</u></em>

Calories in 8 pieces = 8 x calories in 1 piece

c = 8 \times 352

Thus the division equation is:

\frac{c}{8} = 352

Therefore,

c = 352 \times 8 = 2816

Thus there are 2816 calories in whole pizza

8 0
4 years ago
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