1/5(3x - 15)=-4(3/5x - 3)

x = 5

Step-by-step explanation:

1/5(3x - 15) = -4(3/5x - 3)

Distribute the 1/5 in.

3x/5 - 3 = -4(3/5x - 3)

Distribute the -4 in.

3x/5 - 3 = -12x/5 + 12

Multiply both sides by 5.

3x - 15 = -12x + 60

Add 15 to both sides.

3x = -12x + 75

Add 12x to both sides.

15x = 75

Divide both sides by 15 to get

x = 5

Proof:

1/5(3x - 15) = -4(3/5x - 3)

1/5(3(5)-15) = -4(3/5(5) - 3)

1/5(15 - 15) = -4(3 - 3)

1/5(0) = -4(0)

0 = 0

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

d. vertex

step-by-step explanation: