Answer:
Step-by-step explanation:
12
This is what we call a 45-45 traingle
This means that the lengths of the two non-hyptonouse lengths are the same
luckily we're given that it's 6√2
We can then use the pathagaryem theory to solve for the last side
we have
(6√2)²+(6√2)²=x²
Put this into your calculator and get
144= x²
x = 12
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Answer:
15√2 (fourth answer choice)
Step-by-step explanation:
Note that the ratio 15/x is the tangent of 30 degrees, which in turn is 0.577 or 1/√2. Then:
1/√2 = 15/x, or
1 5
----- = ----- or x = 15√2
√2 x
The formula for the sum of the interior angles of a polygon is (n-2) *180, where n is the number of sides. Then you would divide the sum by the number of sides to find what one angle is.
Knowing the angle you can calculate n ( number of sides):
(n-2) * 180 / n = 135
Use distributive property:
180n - 360 / n = 135
Multiply both sides by n:
180n - 360 = 135n
add 360 to both sides:
180n = 135n + 360
Subtract 135n from both sides:
45n = 360
Divide both sides by 45:
n = 360 / 45
n = 8
The polygon has 8 sides.
Answer: 37) 170
Step-by-step explanation:
85 - (-85) = 85 + 85 = 170