Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67
Answer:

Step-by-step explanation:
Step one:
Given data
dimension of the rectangle
Width = 8y-1.5
Length = 1.5y+9
Required
The expression to represents the Perimeter
Step two:
the perimeter of a rectangle is expressed as

collect like terms

(-8)*(-7)=(-15)
the 2 in the beginning stays the same, and you multiply what’s in the parentheses to get (-15)
Answer:
c. (x +3)(x + 1)
Step-by-step explanation:
Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

Can be represented as the product of the following,

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

Distribute,

Simplify,

