Answer:
they are adjacent angles
Step-by-step explanation:
for adjacent angles
![{(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81](https://tex.z-dn.net/?f=%7B%28x%20%2B%203%29%7D%5E%7Bo%7D%20%20%3D%20%20%7B84%7D%5E%7B0%7D%20%20%5C%5C%20x%20%3D%2084%20-%203%20%5C%5C%20x%20%3D%2081)
Answer:
7 , 8 , 9
Step-by-step explanation:
Assume three consecutive number are,
x , (x+1) , (x+2)
Multiplied by 2 ,3 and 4 respectively
2x , 3(x + 1) , 4(x + 2)
Sum of all = 74
So,
2x + 3(x + 1) + 4(x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
9x = 63
x = 7
So,
x , (x+1) , (x+2)
7 , (7+1) , (7+2)
7 , 8 , 9
Answer:
(a)
(b) ![x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3%5Cpi%7D%7B2%7D%2C%5Cdfrac%7B%5Cpi%7D%7B6%7D%2C%5Cdfrac%7B5%5Cpi%7D%7B6%7D)
Step-by-step explanation:
It is given that
.
(a)
(b)
![[\because \sin x=\dfrac{1}{\csc x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20x%3D%5Cdfrac%7B1%7D%7B%5Ccsc%20x%7D%5D)
![x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3%5Cpi%7D%7B2%7D%5Ctext%7B%20or%20%7Dx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D%2C%5Cdfrac%7B5%5Cpi%7D%7B6%7D)
Therefore,
.
Answer:-24
Step-by-step explanation:
-3(-2) = 6 x (-4) = -24
Answer:
5/12 or 15/36
Step-by-step explanation:
Since he rolls two dice, he has a total probability of 6 times 6 = 36. The pairs, that he could add up to primes are (1,1), (2,1) * 2 (since he can get 1,2 as well), (1,4) * 2, (2,3) * 2, (3,4) * 2, (5, 2) * 2, (6,1) * 2, (5, 6) * 2. This is 1 + 2 + 2 + 2 + 2 + 2 + 2 + 2, which is equal to 15. This is a total of 15/36 possible ways, which is also equal to 5/12.