Answer:
108
Step-by-step explanation:
Since angle AFB and angle BFC are next to each other and form a straight line, we can subtract 72 from 180 to get the missing angle measurement. (all straight lines add up to 180)
180-72=108
So 108 would be your answer
The length of the segment AC is 4√3, so the correct option is E.
<h3>
How to get the length of AC?</h3>
In the image, you can see a right triangle.
We do know that AB = 8 units, and BC is equal to the radius of the circle.
We also know that the area of the circle is 16pi, and the area of a circle of radius R is:
A = pi*R^2
Replacing our area, we get:
16pi = pi*R^2
16 = R^2
√16 = R = 4.
So the radius of the circle is 4, which means that BC = 4.
Now we can use the Pythagorean theorem, that says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this can be written as:
AB^2 = BC^2 + AC^2
8^2 = 4^2 + AC^2
64 - 16 = AC^2
√48 = AC
√(3*16) = AC
4√3 = AC
So the correct option is E.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer: True
Step-by-step explanation:
True
If there are 30 students then each student would probably get called up 6 times. I did this by dividing 180 by 30 that got me so each student will go up at least 6 times if there are 30 students
Answer:
The correct answer is:
1. Every ratio yx for related pairs of x and y is equivalent.
Step-by-step explanation:
Proportion is defined as the relationship between two quantities. When one quantity changes the other is also changes.
For two quantities y and x when we say that both are proportional then t can be written as:
y∝x
Removing the proportionality symbol introduces a constant which is the ratio of y and x.
This ratio of y and x, i.e. k is equivalent for all related pairs of x and y.
Hence,
The correct answer is:
1. Every ratio yx for related pairs of x and y is equivalent.