Answer:
Step-by-step explanation:
(1). ( - 3, - 1 )
(2). ( - 1, 3 )
(3). ( 2, 0 )
(4). ( 1, 0 )
The area of △XYZ according to the figure is 363ft²
<h3>Area of triangles</h3>
The formula for calculating the area of a triangle is expressed as:
A = 0.5bh
- b is the base
- h is the height
<h3>Calculate area of each triangles</h3>
For the triangle △NMO
Area of △NMO = 0.5bh
147 = 0.5b(14/12)
147 = 7b/12
7b = 12 * 147
b = 252
b = 252ft
b = 3024in
Get the base of △XYZ
14/3024 = 22/XZ
XZ = 4,752in
Area of △XYZ = 0.5 (4,752)(22)
Area of △XYZ= 52,272in²
Area of △XYZ = 363ft²
Hence the area of △XYZ is 363ft²
Learn more on area of triangles here: brainly.com/question/17335144
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
