Question

Suppose RS is conjurated to MN. For each of the set of lengths, solve for X, and find the length of each segment.

Answer 1

If RS is congruent to MN then the value of x in all the parts are 6,4, and 10.

Given RS is congruent to MN.

We are required to find the value of x if RS is congruent to MN.

Congruent lines are those lines whose lengths are equal to each other.

1) RS=x+10, MN=2x+4.

Because the congruent lines have equal lengths so , RS=MN.

x+10=2x+4

x-2x=4-10

-x=-6

x=6

2) RS=3x-2, MN=x+6

Because the length of lines are equal,so RS=MN.

3x-2=x+6

3x-x=6+2

2x=8

x=4

3) RS=5x-10, MN=2x+20

The lengths are equal so RS=MN.

5x-10=2x+20

5x-2x=20+10

3x=30

x=10

Hence if RS is congruent to MN then the value of x in all the parts are 6,4, and 10.

Learn more about congruent lines at brainly.com/question/28220245

#SPJ9