ANSWER

EXPLANATION
The sum of the interior angles of a triangle is 180°
We can rewrite this as:

The sum of interior angles of a quadrilateral is 360°
We can also rewrite this as:
In general an n-sided polygon has
the sum of the interior angles given by the formula:

Answer:
1/4 < 3/8
Step-by-step explanation:
We need to get a common denominator to compare. We will use a common denominator of 8
1/4 *2/2 or 3/8
2/8 or 3/8
since the denominators are the same
2<3
so 1/4 < 3/8
Answer:
The hypothesis test is right-tailed
Step-by-step explanation:
To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.
While for a two tailed test, the claim always test for both options: greater and less than the mean value.
Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.
A test with the greater than option is right tailed while that with the less than option is left tailed.
Answer:
3/4 or 9/12
Step-by-step explanation:
Since there are 12 movies in total. The possible chance of picking a drama movie is a 1 out of 4 chance (3/12 = 1/4), the possible of picking a movie without a drama is a 3 out of 4 chance (9/12 = 3/4)
12/12 - 3/12 = 9/12 = 3/4
Answer:
720 degrees =
or 0.785 radians.
Step-by-step explanation:
Given:
The angle in degrees in given as 720°
We need to convert this to radians.
Now, we know that, the relation between degrees and radians is given as:
180 degree = π radians
Therefore, using unitary method, the value of 1 degree can be calculated.
∴ 1 degree = 
Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

Hence, the measure of 720 degrees in radians is
or 0.25π radians or 0.785 radians.