Find
the measures of the two complementary angles f the measure of the larger angle is 12 more than twice the measure of the smaller angle

The measures of two complementary angles are 64 degrees and 26 degrees

Let the larger angle be "a" and smaller angle be "b"

Two angles are Complementary when they add up to 90 degrees

so we get,

a + b = 90 eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

Let us solve eqn 1 and eqn 2 to get values of "a" and "b"

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

Thus the measures of two complementary angles are 64 degrees and 26 degrees

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step-by-step explanation:

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mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: