Lines
ab and
cd
are straight lines. find x and y. give reasons to justify your solutions.

x = 18.5° , y = 37°

Step-by-step explanation:

In the picture, i hope that it's a clear solution.

Step-by-step explanation:

We know by given that

Lines AB and CD are straight lines. This means all angles formed on these lines must sum 180°.

So, by defintion of straight line and suplementary angles.

Let's solve for

Then, by vertical angles defintion.

Now, ,  by defintion of straight line and suplementary angles.

Let's solve for

Therefore, the solutions are and

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 c

step-by-step explanation: