Multiples of 8 through 60 are 8, 16, 24, 32, 40, 48 and 56
No. of favorable outcomes= 7
Thus, P(E)=7/60
We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.
Answer:
x = 0 , π
Step-by-step explanation:
- Rewrite it by using the identity
- Add 4sin x to both the sides.
- Take sin x common from the expression in L.H.S.
Here , we can get two more equations to find x.
1) 
- Divide both the sides by sin x
- Substract 4 from both the sides.
2)
- Divide both the sides by (sin x + 4)
over interval [0 , 2π).
So let me give you the answer with procedure so that you can understand it better:
Let x = Number
<span>Product of 9 and Number:</span>
<span>9x </span>
<span>is 12 less than 3 times that number. So: </span>
<span>3x - 12 </span>
<span>Set them equal and solve for x like this:</span>
<span>9x = 3x - 12 </span>
<span>6x = -12 </span>
<span>x = -2
</span>I hope this is very useful for you
