Answer:
34 goes in the blank.
Step-by-step explanation:
Triangle ABC is congruent to triangle TUV implies the following:
Angle A is congruent to angle T.
Angle B is congruent to angle U.
Angle C is congruent to angle V.
Side AB is congruent to side TU.
Side BC is congruent to side UV.
Side CA is congruent to side VT.
Note: Order tells you everything in a congruence statement.
Since side BC is congruent to UV, then the measure of side BC is equal to the measure of side UV.
8x+2=7x+6
Subtract 7x on both sides:
1x+2=6
x+2=6
Subtract 2 on both sides:
x=6-2
x=4
So if x=4, then the measure of side BC is 8x+2=8(4)+2=32+2=34.
So the measure of BC is 34 cm.
