URGENT! B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.

25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

If and , then we have

Multiply 2 on both sides, we get

Now, AC = 5(6)+20 =30+20=50 units

Then, BC=  

Hence, the length of BC is 25 units.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²