Francine and cheryl received a scores on it is made up of multiple choice questions and an essay. francine got 34 multiple choice questions correct and received 14 points for essay. cheryl got 30 multiple-choice questions correct and received 22 points for essay. how many points was it multiple-choice question worth?

We'll call the number of points awarded for each correct answer x.

34x + 14 = 30x + 22

Subtract 14 and subtract 30x  and get 34x = 30x + 8

4x = 8

x = 2

two, the answers 2

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 .