Answer:
BD = 20 units
Step-by-step explanation:
Given that,
Parallelogram ABCD has diagonal segments AC and BD that intersect at E.
BE = (x+8) and ED = 5x
We need to find the length of BD.
BD = BE + ED ...(1)
We know that the diagonals of a parallelogram bisects each other. It means,
BE = ED
x+8 = 5x
8 = 5x - x
8 = 4x
x = 2
BE = (x+8)
= (2+8)
= 10
ED = 5x
= 5(2)
= 10
Put the values in equation (1).
BD = 10 + 10
= 20 units
Hence, the length of BD is 20 units.
Answer:
y = -3/2x + 11
Step-by-step explanation:
2x - 3y = 21 => 3y = 2x - 21 => y = 2/3x - 7
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of perpendicular line is -3/2
y = mx + b
y = -3/2x + b
Using (2,8)
8 = -3/2(2) + b
8 = -3 + b
b = 11
y = -3/2x + 11
Answer:
12
Step-by-step explanation:
2x (3) = 72 so 6x = 72 and so x = 12