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°
Answer:
"
is irrational for every nonzero integer x"
Step-by-step explanation:
The original statement is
"
is rational for some nonzero integer x."
The negation is technically:
"It is NOT true that
is rational for some nonzero integer x."
So it's expressing that it's false that
can be rational for some nonzero integer x.
This just means that
is always irrational when x is a nonzero integer.
Which can be worded as
"
is irrational for every nonzero integer x"
Answer:
2.9
Step-by-step explanation:
3.6 - 0.7 = 2.9
You can simplify expressions by simplifying parentheses by using the distributive property and combing like terms.
Combining like terms is the process of adding up numbers with the same variable(s) and exponent. If a term does not have an exponent then an exponent of 1 is implied.
There is no parentheses in the expression 3a + 7 - a - 7
But, there are like terms in the expression.
Which are the like terms?
3a and a are both like terms. They both have the same variables and they both have the same exponent.
7 and -7 are like terms, too.
3a + 7 - a - 7
2a
So, 2a is the simplified version.