Answer:
the answer to the first one would be: 4/3
the second problem's answer: 20/36, which can be reduced to 5/9
Answer:
Part A: a) Corresponding angles
Part B: b) 12x - 10 = 10x + 8
Part C: x = 9
m<1 = 98
m<2 = 82
Explanation:
B)
Since they're corresponding angles, they're equal to each other:
12x - 10 = 10x + 8
C)
12x - 10 = 10x + 8
2x = 18
x = 9
m<1:
12(9) - 10 = 98
m<2:
98 + y = 180
y = 82
Answer:

Step-by-step explanation:
The area of a triangle is given by

where
b is the base
h is the height
Here we have an equilateral triangle, which has the 3 sides of the same length.
Let's call L the length of one side.
We know that the perimeter of the triangle is
p = 9 in
The perimeter is the sum of the three sides, so:

Therefore, we find the length of the side:

Therefore the length is the base of the triangle,

The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:

Therefore, the area of the triangle is:

Answer:
Final amount after 4 years will be $5518.
Step-by-step explanation:
From the given question Principal amount in the account of Stan = $4706
and we have to calculate amount after 4 years with 4% interest compounded quarterly.
Formula will be final amount 
Here A' = $4706
t = 4 years
n = number of times compounded = quarterly that will be 4
r = .04


So the final amount after four years will be $5518.
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