Which ordered pair does not lie on the graph of h(x)=-2x + 7

a (-2, 3)
, 9)
c (3, 1)
d (4, -1)

A

Step-by-step explanation:

To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph

A

x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph

B

x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph

C

x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph

D

x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°