Answer:
x = 72
Step-by-step explanation:
These angles are complementary so they add up to 90:
x + 18 = 90
x = 90 - 18
x = 72
Step-by-step explanation:
4(5x-9)=-2(x+7)
4*5x-4*9=-2*x-2*7
20x-36=-2x-14
20x+2x=-14+36
22x=22
x=22/22
x=1
Answer:
B. 30°
Step-by-step explanation:
By remote interior angle theorem:
100° = x + 70°
100° - 70° = x
30° = x
x = 30°
Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
For option a, y = 3(4) - 1 = 12 - 1 = 11 [not correct]
For option b, y = 3(2) - 1 = 6 - 1 = 5 [correct]
Therefore option b is a solution to the given equation.