To find the measure of ∠D, we need to find the measure of ∠C.
Find the measure of ∠C using the sum of interior angles in a triangle. The sum of interior angles in a triangle is 180°
∠C + ∠A + ∠B = 180°
∠C + 40° + 81° = 180°
∠C = 180° - 40° - 81°
∠C = 59°
The measure of ∠C is 59°
Find the measure of ∠D by supplementary angles property
∠C, ∠D , ∠E are supplementary angles. If the three angles add together, the result is 180°
∠D + ∠C + ∠E = 180°
∠D + 59° + 25° = 180°
∠D = 180° - 59° - 25°
∠D = 96°
The measure of ∠D is 96°
Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)
m =
=
= 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 7 ) , then
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← equation of line
C they are all real numbers