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.
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