Answer:
when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.
Step-by-step Explanation:
The relationship between an intercepted arc and an inscribed angle is given as:
the measure of the intercepted arc = twice the inscribed angle that intercepts it.
Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.
Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.
Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."
Answer: positive association and linear association
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
To solve this equation, we need the formula for perfect squares:
or
<em>this is the formula we will use because the signs match the one in the question</em>.
Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.
Work:
- this is the setup for being able to solve for the unknown
, now we need to solve for .
(I replaced 
with 
because I'm setting up this question to be a perfect square).
- multiply the left side. Remember that your answer will not be
, but 
.
- Divide like terms and isolate the variable. In this case,
and 
are on both sides, so dive them and they will be canceled out.
- divide by
and you will have your value for .
- Now we plug into our original equation equation for perfect squares.
Our final answer is 16.
Area is equal to the radius^2 • pi. So if you half the diameter and get 6, you then square it and multiply by pi. So your answer is C, 36pi
