Pictures are in order of the questions

In the figure below, what is the relationship between ACD and DCB

They are congruent angles
They are supplementary angles
They are vertical angles
They are complementary angles

The figure below is a rhombus with one diagonal drawn in. Find the length of the side labeled x.

x=8

x=7

x=11.4

x=9

Using the figure below, find the measure of

90 Degrees

31 Degrees

122 Degrees

62 Degrees

Problem 1

Explanation:

The two angles combine to form a straight angle (which is 180 degrees). Another term for these angles is "linear pair" since they form a straight line.

Problem 2

Explanation:

The diagonal is never used in this problem. For any rhombus, the four exterior sides are always the same length.

Problem 3

Explanation:

We use the angle addition postulate. This allows us to combine angles BAC and CAD to form angle BAD.

(angle BAC)+(angle CAD) = angle BAD

30 + x = 92

x = 92-30

x = 62

angle CAD = 62

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: