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.
Multiply total students by the percentage:
600 x 80% = 600 x 0.80 = 480
480 students want more field trips.
Let m represent the number of miles traveled. If the whole budget amount of 370 is spent, then ...
... 190 + 0.25m = 370
... 0.25m = 280
... m = 280/0.25 = 1120
For 370, you can travel 1120 miles.
The relation with a domain of {-5, 0, 5} is the second relation: {(-5, 5), (0, 5), (5, 5)},