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.
The question can be answered using the exponent function. The function would look like:
an = a1 (r)^(n - 1)
where
a1= initial payment
r= ratio of increase
n= number of payment.
The sigma notation to determine the sum of
15 Σ = 150*1.3^(n-1)n = 1
Since the function ratio is 1.3 which was >1, the series will keep increasing so it would be divergent
Answer:
Option B
Step-by-step explanation:
In Option A, the triangle is first reflected across m and then reflected across the vertical line. Then, it is dilated.
In Option C, the triangle is reflected across m but the angles are not preserved.
In Option B, the triangle is reflected across m and then dilated.
Hence, this is the correct image similar to the original triangle.