Answer:
Step-by-step explanation:
<u>Given triangle ACD</u>
- AB = BC
- CD = 2x + 6
- AB = x + 5
- BC = 2x - 3
- P = ?
<u>Perimeter is sum of the side lengths:</u>
AD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
<u>Then P is:</u>
- P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14
<u>Find the value of x from the AB = BC:</u>
- x + 5 = 2x - 3
- 2x - x = 5 + 3
- x = 8
<u>Then find the value of P:</u>
- P = 7*8 + 14 = 56 + 14 = 70 units
Answer:
Option A, 4(x + 2)(x - 2)
Step-by-step explanation:
<u>Step 1: Pull out a 4
</u>
<em>4(x^2 - 4)
</em>
<u>Step 2: Factor x^2 - 4
</u>
x^2 - 4
<em>(x + 2)(x - 2)
</em>
<u>Step 3: Combine
</u>
<em>4(x + 2)(x - 2)
</em>
Answer: Option A, 4(x + 2)(x - 2)
For this case we have that the original price of the book is given by:
$ 19.75
The customer has a coupon to save part of the price of the book.
Therefore, the customer will pay

Where,
x: value of the customer coupon.
We know that the customer has a coupon that has a value of $ 4.50.
Substituting values we have:

Answer:
she will pay for the book 15.25 $
Answer:
Step-by-step explanation: