The answer to that is 1448
Answer:
y = -1/7 x + 16/7
Step-by-step explanation:
Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)
Given the point (2,2) and (-5,3). The standard form of an equation passing through the points is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope
m = y2-y1/x2-x1
m = 3-2/-5-2
m = 1/-7
m = -1/7
Get the intercept. Substitute m = -1/7 and one of the point (2,2) into the expression y = mx+c
2 = -1/7(2) + c
2 = -2/7 + c
c = 2 + 2/7
c = (14+2)/7
c = 16/7
Substitute m = -1/7 and c = 16/7 into the expression y = mx+c
y = -1/7 x + 16/7
Hence the required equation is y = -1/7 x + 16/7
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°