Answer:
![m\angle PSQ=45^o](https://tex.z-dn.net/?f=m%5Cangle%20PSQ%3D45%5Eo)
Step-by-step explanation:
we know that
---> by addition angle postulate
substitute the given values
![99^o=(3x+18)^o+(9x-27)^o](https://tex.z-dn.net/?f=99%5Eo%3D%283x%2B18%29%5Eo%2B%289x-27%29%5Eo)
solve for x
![99^o=(12x-9)^o](https://tex.z-dn.net/?f=99%5Eo%3D%2812x-9%29%5Eo)
![12x=99+9](https://tex.z-dn.net/?f=12x%3D99%2B9)
![12x=108](https://tex.z-dn.net/?f=12x%3D108)
![x=9](https://tex.z-dn.net/?f=x%3D9)
<em>Find the measure of angle PSQ</em>
![m\angle PSQ=(3x+18)^o](https://tex.z-dn.net/?f=m%5Cangle%20PSQ%3D%283x%2B18%29%5Eo)
substitute the value of x
![m\angle PSQ=(3(9)+18)=45^o](https://tex.z-dn.net/?f=m%5Cangle%20PSQ%3D%283%289%29%2B18%29%3D45%5Eo)
Answer:
![B.-240](https://tex.z-dn.net/?f=B.-240)
Bob got that by calculating the change amount of money in Imamu's account after
of a year (4 months).
Step-by-step explanation:
You know that Imamu pays $30 each month for his gym membership.
Since there are 12 months in a year, you can find the the number of months that
of a year represents:
![(12\ months)(\frac{2}{3})=\frac{24\ months}{3}=8\ months](https://tex.z-dn.net/?f=%2812%5C%20months%29%28%5Cfrac%7B2%7D%7B3%7D%29%3D%5Cfrac%7B24%5C%20months%7D%7B3%7D%3D8%5C%20months)
Now, in order to find the change amount of money in his account after
(8 months), you must solve the following multiplication:
![(-30)(8)=-240](https://tex.z-dn.net/?f=%28-30%29%288%29%3D-240)
Bob chose
(Option A) as the correct answer, but that is incorrect, because he got it by calculating the change amount of money in Imamu's account after
of a year (4 months).
Since there are 20 seeds total (5+15-=20)/ 5/20 = 1/4 is the actual chance of getting a petunia seed
Step-by-step explanation:
In Martian Poker, the game is played with 8 cards drawn from a 52 card deck.
What is the probability of a Martian drawing “two trips and a pair". They get 2
three of a kinds and a pair.