Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

                                = 3(32) - 17

                                = 96 - 17

                                = 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

b. 2 and 4

step-by-step explanation: