From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.
13x = 15x - 8
15x - 13x = 8
2x = 8
x = 8/2 = 4
Thus, 15x - 8 = 15(4) - 8 = 60 - 8 = 52.
RT is a diameter, which means that mRT = 180
mRV + mVU + 52 = 180
mRV + mVU = 180 - 52 = 128
Now, given that mRV = mVU,
Thus, 2mVU = 128
Therefore, mVU = 128 / 2 = 64°
The correct answer for the question that is being presented above is this one: "A) (10h + 60) = (10h)." Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned <span>the bonus, the amount she spent on dinner would have been of her paycheck.</span>
Answer:
See below.
Step-by-step explanation:
So we have the equation:

On the right, factor out an x:

Divide both sides by (2+6z). The right will cancel:

And we're done!
Let

denote the random variable representing a given number in the total set of numbers. We're told that

of the numbers fall within a given range, so we know

where

is normally distributed with mean 45 and an unknown variance

.
Let's make the transformation to a random variable with a standard normal distribution:

Since

is symmetric, we have

The mean of

is 0, and by symmetry we know that exactly half of the distribution falls to the left of

, so

. We're left with


This probability corresponds to a value of

, which means