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

AP and CD are parallel. Therefore the segments AC, CR, DR and PD are in proportion:

We have

CR = x

DR = 42

AC = 10

PD = 15

Substitute:

              cross multiply

     divide both sides by 15

x = 28

Step-by-step explanation:

We have similar triangles so

RC              RD

=

RA                RP

Substituting in

x                42

=

x+10                42+15

x                42

=

x+10                57

Using cross products

57*x = 42(x+10)

Distribute

57x = 42x+420

Subtract 42 from each side

57x-42x = 42x-42x+420

15x = 420

Divide by 15

15x/15 = 420/15

x = 28

sorry, can't i suggest going to algebra.com

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°