Answer:
126°
Step-by-step explanation:
(2x +18)° = (3x)°
2x + 18 = 3x
18 = 3x - 2x
18 = x
therefore, (3x)° = (3*18)°= (54)°

Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4
Answer:
Infinitely many solutions.
Step-by-step explanation:
In the equation −2y + 2y + 3 = 3 we see only one variable, and that variable is of the first power. Ordinarily, we'd say that this equation will have 1 solution. However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values. Infinitely many solutions.
Step-by-step explanation:
i.1+y<25
y<25-1
y<24
ii.101+6y>200
6y>200−101
6y>99
y>99/6
y>33/2
Answer:
$68,000
Step-by-step explanation:
we have to determine the total economic costs of going to college = ($40,000 x 2) + ($30,000 x 2) = $140,000
since we want to recover our "college investment" in 5 years or less, then we must earn at least $140,000 / 5 = $28,000 more per year
the minimum salary that we should earn after graduating = $40,000 (our current salary) + $28,000 (to recover college costs) = $68,000