What is the value of x? enter your answer in the box. x =

9 = x

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the side of the small triangle over the side of the large triangle

9               3x-20

=

9+72          3x-20 +56

Combine like terms

9               3x-20

=

81             3x+36

Using cross products

9*(3x+36) = 81*(3x-20)

Distribute

27x + 324 = 243x- 1620

Subtract 27x from each side

27x-27x +324 = 243x-27x -1620

324 = 216x -1620

Add 1620 to each side

324+1620 = 216x-1620+1620

1944 = 216x

Divide by 216

1944/216 = 216x/216

9 = x

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,