Answer:
z=5
Trust me I don't know how to explain it.
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.
We are given with the volume of 32 cubic meters. The dimension of the box is obtained by taking the cubic root of 32 which is 3.1748 x 3.1748 x 3.1748 meters. When the dimensions are tripled, 9.5244 x 9.5244 x <span>9.5244 meters. The volume is a ) 864 cubic meters. </span>
80 + 5 is 85 in extended form