Six thirty-five...............................
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:
Option d. $22154 is the right answer.
Step-by-step explanation:
To solve this question we will use the formula 
In this formula A = amount after time t
P = principal amount
r = rate of interest
n = number of times interest gets compounded in a year
t = time
Now Lou has principal amount on the starting of first year = 10000+5000 = $15000
So for one year 

= $15900
After one year Lou added $5000 in this amount and we have to calculate the final amount he got
Now principal amount becomes $15900 + $ 5000 = $20900
Then putting the values again in the formula



So the final amount will be $22154.
Answer:
y=-4x+5
Step-by-step explanation:
y+3=-4(x-2)
y+3=-4x+8
-3. -3
y=-4x+5