Question

HELP ME PLEASE, I'D LIKE TO UNDERSTAND HOW TO DO THIS TOO SO I'LL GIVE BRAINLY FOR THE RIGHT ANSWER WITH GOOD AND UNDERSTANDING EXPLANATIONS!! THANK YOU :)

Answer 1

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.