Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as
and ![\angle POS , \angle ROQ](https://tex.z-dn.net/?f=%5Cangle%20POS%20%2C%20%5Cangle%20ROQ)
Therefore, ![\angle POR = \angle SOQ](https://tex.z-dn.net/?f=%5Cangle%20POR%20%3D%20%5Cangle%20SOQ)
Substituting the given measures of the angles, we get
![91-x^\circ = x+ 7^\circ](https://tex.z-dn.net/?f=91-x%5E%5Ccirc%20%3D%20x%2B%207%5E%5Ccirc)
![91-7 = x + x](https://tex.z-dn.net/?f=91-7%20%3D%20x%20%2B%20x)
![84 = 2x](https://tex.z-dn.net/?f=84%20%3D%202x)
![x = \frac{84}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B84%7D%7B2%7D)
So, x = ![42^\circ](https://tex.z-dn.net/?f=42%5E%5Ccirc)
Since, the measure of angle POR = ![(91-x)^\circ](https://tex.z-dn.net/?f=%2891-x%29%5E%5Ccirc)
= ![(91-42)^\circ](https://tex.z-dn.net/?f=%2891-42%29%5E%5Ccirc)
= ![49^\circ](https://tex.z-dn.net/?f=49%5E%5Ccirc)
Therefore, the measure of angle POR is 49 degrees.
The probability of not landing on blue is 2/3rds.
The answer is c . 24ib for $18.72
Answer:
![4\sqrt[3]{7x}](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B7x%7D)
Step-by-step explanation:
Look for the same stuff under the radical symbol. Here, that "stuff" is "7x". Only one answer choice has 7x under the radical.
_____
Here, there are no cubic factors under the radical that can be factored out—either in the problem expression or in the answer choices. If there were cubic factors, you'd want to remove them before making the comparison.
For example, ∛(56x) would be a like radical to ∛(7x) because a cubic factor of 2^3 = 8 can be removed to make it be 2∛(7x).