Two angles are complementary. their difference is 22 degrees°. find the angles.

Angles  56 and 34.

Step-by-step explanation:

Given  : Two angles are complementary. their difference is 22 degrees°.

To find :  find the angles.

Solution :

We have given Two angles are complementary. their difference is 22 degrees°

Complementary angles : sum of two angles are 90 degree.

Let the one angle =  x

Complementary of x =  90 -x.

According to question :

Difference of their angle  is 22 degree.

x - ( 90 -x) = 22.

x - 90 +x = 22.

2x -90 = 22.

On adding both sides by 90

2x = 22+90.

2x = 112.

On dividing both sides by 2

x = 56.

Other angle = 90 -56 = 34

Therefore, angles  56 and 34.

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:

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.