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what is the measure of ∠d ?

enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

m∠d=
°

The measure of ∠D = (Q) = 28.81

Step-by-step explanation:

Tan(Q) = perpendicular/ base

In this case perpendicular  is BC and base is DC

BC =25   DC = 45

Tan(Q) = BC/DC

Tan(Q) = 25/ 45

Tan(Q) = 5/ 9

(Q) = tan^ -1 (0.55)

(Q) = 28.81

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form