Use cross multiplication to solve the following proportion for x.

7/9 = x/27

( include steps)

x = 21

Step-by-step explanation:

It's easier, tho' not essential, to re-write this equation as

7        x

=

9       27

To cross-multiply:  draw an imaginary line diagonally through 9 and x.  Multiplying, we get 9x.  Do the same with the other diagonal, through 7 and 27:  we get 7(27) = 189.

Then we have a new equation without fractions:  9x = 189.

Solve for x.  To do this, divide both sides by 9, obtaining:

x = 21

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 .

∠cbe and ∠deb are same-side interior angles.

i took the test