Answer:
123.5 square inches
Step-by-step explanation:
Given: To find the area of a rectangle, you have to multiply base times height.
To find the area of a triangle, you have to do base times height devided by 2.
Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you <u>91in</u> square for the rectangle.
Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2, you do 5in•6.5in=32.5in. 32.5in divided by 2 is <u>16.25in </u>square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.
We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=<u>32.5in</u> square for both of the triangles.
Now we add it all up: 32.5+91=123.5 square inches
Answer: v = 2
Step-by-step explanation:
30-48v+12 = -54
-48v = -54-30-12
= 
v = 2
Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
8y + 36 = 14y -24 Subtract 36 to both sides
8y = 14y - 24 - 36 Combine
8y = 14y - 60 Subtract 14y from both sides
8y - 14y = - 60
-6y = -60 Divide by - 6
-6y/-6 = -60/-6
y = 10
===========================
x +48 = 64 Subtract 48 from both sides
x +48 - 48 = 64-16
x = 16
-6 + 7 = 1 and -6*7 = -42
So f(x) = (x + 7)(x - 6)