15−2x−8−3x=−x−12+4x+43
now combine all the like terms on each side.
Add -2x and -3x
subtract 15 and -8....you subtract because the sign are different
now do the same for the other side
−5x+7=−x−12+4x+43
−5x+7=3x+31
bring the x value from the right side to the left side.
−5x+7−3x=31
combine like terms on left side
−8x+7=31
now move +7 to the right side which become..
−8x=−7+31
−8x=24
we will need to single out X by dividing

answer: X= -3
Answer:Rigid transformations preserve segment lengths and angle measures.
A rigid transformation, or a combination of rigid transformations, will produce congruent figures.
In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.
We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.
Step-by-step explanation:
Sample Response: Rigid transformations preserve segment lengths and angle measures. If you can find a rigid transformation, or a combination of rigid transformations, to map one triangle onto the other, then the triangles are congruent. To prove SAS, we started with two distinct triangles that had a pair of congruent corresponding sides and a congruent corresponding included angle. Then we performed a translation, followed by a rotation, followed by a reflection, to map one triangle onto the other, proving the SAS congruence theorem.
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