First, you know that the sum of all the angles is 540 degrees, so add them all together to find an equation that can be solved for b.
b+(3/2b)+(b-45)+(2b-90)+90=540
Then simplify the equation:
b+(3/2b)+b+2b=540+45+90-90
4b+(3/2b)=585
11/2b=585
11b=585x2
11b=1170
b=1170/11
b=106.36
Using this answer for 'b', you can plug it into the other values for the angles to find the final answers.
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Answer:
6n or 6 x n
Step-by-step explanation:
Answer:
(a) x² − 13x + 4
(b) x² − 26x + 153
Step-by-step explanation:
f(x) = x² + 3x − 2
a + ß = -3
aß = -2
(a) (x − a²) (x − ß²)
x² − (a² + ß²) x + a²ß²
x² − ((a + ß)² − 2aß) x + a²ß²
x² − ((-3)² − 2(-2)) x + (-2)²
x² − (9 + 4) x + 4
x² − 13x + 4
(b) (x − (a − ß)²) (x − (a + ß)²)
x² − ((a − ß)² + (a + ß)²) x + (a − ß)²(a + ß)²
x² − (a² − 2aß + ß² + a² + 2aß + ß²) x + (a² − 2aß + ß²)(a + ß)²
x² − (2a² + 2ß²) x + (a² − 2aß + ß²)(a + ß)²
x² − 2(a² + ß²) x + (a² − 2aß + ß²)(a + ß)²
x² − 2((a + ß)² − 2aß) x + ((a + ß)² − 4aß)(a + ß)²
x² − 2((-3)² − 2(-2)) x + ((-3)² − 4(-2))(-3)²
x² − 2(9 + 4) x + (9 + 8)(9)
x² − 26x + 153
Answer:
72 in^2
Step-by-step explanation:
The area of a parallelogram is calculated by multiplying height to the base
The height given for this parallelogram is 9 in and base is 8 in
9×8 = 72
