Answer:
Step-by-step explanation:
What we know
total sum of angles = 540 deg
3/2 b cam also be written as 1.5b degrees.
So 1.5b + (b+45) + (2b - 90) +90 = 540
Step 1 -- get rid of parenthesis
1.5b + b + 45 +2b -90 +90 =540
Step 2 -- combine the like expressions
4.5b + 45 = 540
Step 3 -- subtract 45 from both the sides
4.5b = 495
Step 4 -- divide 4.5 from both the sides
b = 110 ----- not the right answer
Thats not right okay im sorry
but i guess if it is not 110 it should be 100, 90 etc.
90 = b is correct
Answer:
$809.32
Step-by-step explanation:
The loan amount is 80% of $150,000, or $120,000. The monthly payment of principal and interest is $586.82.
The total annual expense for taxes and insurance is $1920 +750 = $2670, so the monthly expense is $2670/12 = $222.50.
Then the total of payments for mortgage and escrow will be ...
$586.82 +222.50 = $809.32
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The monthly P&I payment is given by ...
A = P(i/12)/(1 -(1 +i/12)^(-12t)) . . . . . where i is the annual interest rate, t is the number of years, and P is the amount financed.
A = $120,000(0.042/12)/(1 -(1 +0.042/12)^(-12·30)) ≈ $586.82
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A spreadsheet or financial calculator can be useful for calculating payments, though the formula isn't difficult to use.
Answer:
x = 6.5
Step-by-step explanation:
square is rectangle
9x+26 = 84.5
84.5 - 26 = 58.5
9x = 58.5
x = 58.5 divided by 9
x = 6.5
Answer:
Using the attached formula:
Number of sides = 360 / (180 - one interior angle)
Number of sides = 360 / 60
Number of sides = 6
Step-by-step explanation:
Answer:
The general equation of the lines that are perpendicular is:

b can by any number.
Step-by-step explanation:
The equation of a line is given by:

where m is the slope and b is the intercept
The equation of a perpendicular line to the previuos one is:

That means that the slope of a perpendicular line is inverse and sign opposite to the other line.
Hence, the equation given is:

m would be:
m=1
So the perpendicular slope would be:

The general equation of the lines that are perpendicular to y=x+3 is:

b can be any number
In attached picture:
y=x+3 is the red line
y=-x+b is the blue line