Complentary angles add to 90 degrees
a and b are complentary
a+b=90
a=7x+4
b=4x+9
so
7x+4+4x+9=90
combine like terms
11x+13=90
minus 13 both sides
11x=77
divide both sides by 11
x=7
m a =7x+4=7(7)+4=49+4=53
m b=4x+9=4(7)+9=28+9=37
angle a measures 53 degrees
angle b measures 37 degrees
Answer:The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the function:
Let's find the inverse of g.
Call y=g(x):
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
Operate:
Collect the x's to the left side and the rest to the right side of the equation:
Factor the left side and operate on the right side:
Solve for x:
Interchange variables:
Call y as the inverse function:
Answer:
x =0
Step-by-step explanation:
4+5e^x+2 =11
Combine like terms
6 + 5e^x =11
Subtract 6 from each side
6-6 + 5e^x =11-6
5 e^x = 5
Divide by 5 on each side
5 e^x /5 = 5/5
e^x = 1
Take the natural log on each side
ln (e^x) = ln(1)
x = ln(1)
x =0
Answer:
6,000
Step-by-step explanation:
