Please show me how to work this problem

9514 1404 393

  70° (number in the blank at the bottom)

Step-by-step explanation:

You need to know the meaning of "complement of an angle."

Complementary angles have a sum of 90°. So, the complement of 20° is the angle that makes the total 90°. It is 70°.

The line at the bottom of the figure tells you how to work the problem. It says "the cosine of an angle is the sine of its complement." If you put numbers in this statement, it tells you ...

  the cosine of 20° is the sine of 70°

So, the answer to the question at the top of the page is ...

  look up the value of sin(70°) in the table

b. x- 48 =120

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 .