Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB 
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.
Answer:
The right angle's vertex.
Step-by-step explanation:
A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.
Answer:
8x + 16y = 39 and
40x + 8y = 42
Step-by-step explanation:
Let the length of the blue tiles is b inches and that of the white tiles is w inches.
So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.
Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as
8x + 16y = 39 and
40x + 8y = 42 (Answer)
Answer:
2/21 :)
Step-by-step explanation:
