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 correct answer is D
Step-by-step explanation:
Hope this helps!
Answer:
6.2 pints of white paint.
Step-by-step explanation:
9.7 is the sum of both paints used to pain her bedroom walls. If we know that 3.5 of the 9.7 was blue, we can safely assume that the remainder of the paint was white, thus 9.7 - 3.5 = 6.2
Rememer that the perimiter is the distance around
it is
P=L+L+W+W or
P=2L+2W or
P=2(L+W)
so
a.
tenis
L=2x+6
W=x
P=2(2x+6+x)=2(3x+6)=6x+12
basketball
L=3x-14
W=1/2x+32
P=2(3x-14+1/2x+32)=2(3.5x+18)=7x+36
b.
how much bigger is basketball than tennis
7x+36=bigger+6x+12
minus 6x+12 both sides
x+24=bigger
it is x+24 bigger
c.
x=36
Ptenis=6x+12=6(36)+12=216+12=228ft
Pbasketball=7x+36=7(36)+36=252+36=288ft
Answer:
pretty sure the answer is C) 54
Step-by-step explanation:
I'm in 10th grade and I been in advanced math for my entire life
