HELP ASAP What is the length of BD? Round your answer to the nearest hundredth. 1
units
O 1.8 units
3.5 units
4.99 units
5.82 units

4.99 units

Step-by-step explanation:

Considering ∆ABD in the figure given, <ABD = <ABC = 90° (angle on a straight line)

Therefore, we would consider ∆ABD as a right angled triangle having side AB = 3 units, and angle D = 31°

==>Use trigonometric function to solve for the length of side BD

Side BD is the adjacent side to the angle given, while side AB is the opposite side to the angle given.

Thus,

tan D = opposite/adjacent

tan 31 = 3/BD

0.6009 = 3/BD

multiply both sides by BD

0.6009*BD = 3

Divide both sides by 0.6009 to make BD the subject of formula

BD = 3/0.6009

BD ≈ 4.99 units

4.99 is correct took the test

Step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b