Step 1
An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length.
Step 2
Since the sides of an isosceles triangle are equal it follows that the base angles are equal too. The vertex angle = 98°. The sum of angles in a triangle is 180°.
Therefore, if the base angles are both x,
Therefore,
The best buy is from dealership A because the fees of dealership B is more expensive
<h3>The add-on options</h3>For the purpose of this exercise, the add-on options to select are:
The total amount of the add-on options is:
Total = $1000 + $500 + $3500 + $500 + $750
Total = $6250
<u>The inequality</u>
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000
<u>Solve for x</u>
We have:
(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 12998.44
Divide both sides by (1 + 6.75%)
x ≤ 12176.52
The solution means that the base price of the car cannot exceed $12176.52 for dealership A
<u>The graph of the possible base price</u>
See attachment
<h3>Dealership B</h3>The total amount of the add-on options is:
Total = $500 + $750 + $2750 + $750 + $500
Total = $5250
<u>The inequality</u>
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000
<u>Solve for x</u>
We have:
(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 13225.28
Divide both sides by (1 + 6.75%)
x ≤ 12389.02
The solution means that the base price of the car cannot exceed $12389.02 for dealership B
<u>The graph of the possible base price</u>
See attachment
<h3>Where to buy from</h3>Buy from dealership A because the fees of dealership B is more expensive
Read more about inequality at:
#SPJ1
