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:
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Step-by-step explanation:
Given that:
Fee charged by Fun Reads Bookstore = $40
Charges per book = $5
Let x be the number of books.
A(x) = 5x+40
Fee charged by Cool Covers Bookstore = $100
Charges per book = $2
B(x) = 2x+100
For making Cool Cover Bookstores club a better deal,
B(x) > A(x)
2x+100 > 5x+40
2x-5x > 40-100
-3x > -60
Dividing both sides by -3
Hence,
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
G(p+4)=3(p+4)^2+2(p+4)+27
=3p^2+24p+48+2p+8+27
=3p^2+26p+83
First, do 272 + 38 = 310
Secondly, do 310 - 89 = 231
Third, do 231 ÷ 9 = 25
The most number of beeds she can have is 25
