Answer:
x=4
Step-by-step explanation:
1. isolate the variable by subtracting 7 on both sides: 4x=23-7
2. simplify: 4x=16
3. divide both sides by 4: x=16/4
4. simplify: x=4
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
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Double-Check
.5 * 15 * 8 = 60
-11-8-13(-10)
First, multiply since multiplication goes before subtraction according to the order of operations.
-11-8+130
Then add and subtract from left to right.
-11-8= -19
-19+130=111
Final answer: 111
