Beth is 5 years younger than celeste. next year, their ages will have a sum equal to 57. how old ech now?

Celeste is 30 and Beth is 25

let x be Celeste's age now then Beth is x - 5

next year they will be 1 year older

Celeste's age will be x + 1 and Beth will be x - 5 + 1 = x - 4

the sum of their ages is therefore

x + 1 + x - 4 = 57

2x - 3 = 57 ( add 3 to both sides )

2x = 60 ( divide both sides by 2 )

x = 30

Celeste is 30 and Beth is 30 - 5 = 25

answer: 12

step-by-step explanation:

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 .