Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:
5x - 5 = 40
Now we’ll solve for x:
5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)
5x = 45
—- —— (Five both side by 5)
5 5
x = 9
Now we left with x, so x is equal to 9.
Is it 2x +7= -3? If so the answer is -5
Looks like the PMF is supposed to be

which is kinda weird, but it's not entirely clear what you meant...
Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

Next,





If

, then

, where we take the positive root because we know

can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that

can take on the values

,

, and

. At these values of

, we would have the same probability as we did for the respective value of

. That is,

Part (5) is incomplete, so I'll stop here.
I wanna say 10 or ether -10 since if it was subtracted from 2 then it would equal -8
Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY = 
= 0.84167
Y = 
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°