Answer:
4/9
Step-by-step explanation:
First of all we need to get rid of the -2 exponent and make it positive in order to solve this equation.
Therefore to do this we just use the reciprocal of 3/2 which is 2/3
Now we have (2/3)^2
Since 2/3 is being squared we used the following equation below:
(2/3) * (2/3)
We multiply 2/3 by itself twice since 2 is the exponent.
Then we get:
2^2
-----
3^2
2 squared is 4 and 3 squared is 9.
Therefore the final answer is 4/9.
I hope this helps have a good rest of your day!
Answer:
(2, 14), (3, 7)
Step-by-step explanation:
The way these angles are numbered, corresponding angle numbers differ by 4, 8, or 12.
Corresponding angles are ...
Angle 2 and Angle 14 . . . . . . numbers differ by 12
Angle 3 and Angle 7 . . . . . . . numbers differ by 4
_____
If a given angle is Northwest of the intersection, any corresponding angle will also be Northwest of its intersection. Corresponding angles are ...
northwest: {1, 5, 9, 13}
northeast: {2, 6, 10, 14}
southeast: {3, 7, 11, 15}
southwest: {4, 8, 12, 16}
Any pair of numbers from the same set will be corresponding angles.
Answer:
- Q11 - 12 sides
- Q12 - 10 sides
Step-by-step explanation:
<u>Use the formula for sum of interior angles of a regular polygon:</u>
<u>Each angle A measures:</u>
- S/n = 180(n - 2)/n
- A = 180(n - 2)n
- An = 180n - 360
- (180 - A)n = 360
- n = 360/(180 - A)
<h3>Question 11</h3>
<u>Each angle is 150, then finding n:</u>
- n = 360/(180 - 150)
- n = 360/30
- n = 12
<h3>Question 12</h3>
<u>Each angle is 144, find n:</u>
- n = 360/(180 - 144)
- n = 360/36
- n = 10
