a) n° + n°+ 42 = 180°
2n + 42 = 180
2n = 180 – 42
2n = 138
n = 138 /2
n° = 69°
_____o___o____
b) ( x+10) + x + ( x+5 ) = 180
x + 10 + x + x + 5 =180
3x + 15 =180
3x =180 – 15
3x = 165
x = 165 /3
x° = 55°
_____o___o___
c) 3q + q + q = 180
5q =180
q = 180/5
q=36°
___o___o____
d) m + 2m + ( m+10) = 180
m+2m+m+10=180
4m + 10=180
4m = 180 – 10
4m = 170
m=170 / 4
m = 42.5°
____o___o___
e) y + (y – 30 ) + 90° = 180°
y + y – 30 + 90 = 180
2y + 60 = 180
2y = 180 – 60
2y = 120
y = 120/2
y = 60°
____o___o____
f) ( t + 10.5 ) + 2t + 90 = 180
t + 10.5 + 2t +90=180
3t + 100.5 = 180
3t = 180 – 100.5
3t = 79.5
t = 79.5/3
t =26.5°
I hope I helped you^_^
Answer:
w > - 3.94
Step-by-step explanation:
We have to solve a linear single variable equation of inequality of w.
The inequality is
3.3w - 9 > - 22
⇒ 3.3w - 9 + 9 > - 22 + 9 {Adding both side with 9}
⇒ 3.3w > - 22 + 9
⇒ 3.3w > - 13
⇒
⇒
{Dividing both sides by 3.3}
⇒ w > - 3.94 (Approximate) (Answer)
Answer:

Step-by-step explanation:
For this case we assume that the probability of obtain a head is 1/2

We are conducting the experiment 3 times. And we want the probability that exactly the same number of tosses will be required for each of the 3 performances.
We can model the situation like this. Let
the number of tosses used in the performance, for this case 
And the distribution for
would be a negative binomial with the following mass function:

Now we need to assume that the 3 performaces are independent from each other and we want this:

And we can since we have the mass function we can replace:

And as we can see we have a geamotric series and we can find the probability like this:

The formula for the volume of a cube whose sides are s inches longs is volume = s^3 cu. in which is A on the choice you provided. We all know that 3 is for cube and the s^3 in the formula saying that s^3 is s cube, we will just include the inches and the cube o the formula which will be the choice A.
Answer:
1
Step-by-step explanation: