Answer:
Acute angle
Step-by-step explanation:
Given that m<C = 
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C =
m<C = 
m<C = 
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
Answer:
Step-by-step explanation:
Hi there!
To get rid of the fraction 
, multiply both sides of the equation by 3 (the denominator):
To get rid of the fraction 
, multiply both sides of the equation by 5 (the denominator):
I hope this helps!
Answer:
20%
Step-by-step explanation:
In the graph, there is a cycle of increasing and decreasing. First, the original circle increases by 25% into the new, larger circle. Then, the circle does back to its original size. So, to solve we can assign a value to the smaller circle, increase it by 25%, and then find what percentage brings this back to the original value.
It is easiest to assign the value of 100 because it is easy to work with. So, let's say the smaller circle is 100; this increased by 25% is 125. The next step is to find what percentage of 125 brings us back to 100. There are multiple ways to do this such as guess and check or proportions/fractions. Either way, the correct percentage is 20%. If you decrease 125 by 20% you get the correct value of 100. This means that the missing number must be 20%.
Answer:
96
Step-by-step explanation:
1.5 X 2 = 3 and 3 X 2 = 6 so you keep multiplying by two until the 7th term
6 X 2 = 12 (4th term)
12 X 2 = 24 (5th term)
24 X 2 = 48 (6th term)
48 X 2 = 96 (7th term)
96 is your answer
Answer:
Step-by-step explanation:
Sum of exterior angles of any polygon =360°
Sum of exterior angles of polygon = 360°
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360
m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4 = 360 {Combine like terms}
15m + 15 = 360 {Subtract 15 from both sides}
15m = 360 - 15
15m = 345 {Divide both sides by 15}
m = 345/15
m = 23
m + 5 = 23 + 5 = 28°
2m + 3 = 2*23 + 3 = 46 + 3 = 49°
3m + 2 = 3*23 + 2 = 69 + 2 = 71°
4m + 1 = 4*23 + 1 = 92 + 1 = 93°
5m + 4 = 5*23 + 4 = 115 + 4 = 119°
