180°-100°= 80° (angle 1)
180°-150°= 30° (angle 2)
180°-80°-30°= angle 3
angle 3 = 70°
∴ the interior angles are 80°, 30° and 70°
Answer: The retort to the peculiar proposed interrogate is definitively identified as ‘Joint Variation’, interchangeably acknowledged as ‘Combined Variation’.
Step-by-Step Explanation:
Given the mathematical statement,
Y = 4x^3z^3
Such coherently demonstrates the principle of a foreign variable, ‘y’, which whom varies directly as the product of at least two distinct or distinguishable quantities occur.
The mentioned is the precise definition of Joint Variation, where ‘y’ is jointly proportional to the product of the minimum agglomerate of two quantities, whilst a presence of a nonzero constant, k.
*I hope this helps.
<em>Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.</em>
<em>So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.</em>
<em>The solution would still clear your concept though.</em>
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
c(x) = 18x -10
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation

where m is the slope and b is the y-intercept
so
c(x) = 18x - 10
comparing with the slope-intercept form of the line equation
- c(x) or y represents the cost
- 'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $530
In order to determine the value of x, set c(x) = 530
i.e.
530 = 18x -10
switch sides
18x - 10 = 530
add 10 to both sides
18x - 10 + 10 = 530 + 10
18x = 540
Divide 18 to both sides
18x/18 = 540/18
x = 30
Therefore, if you can buy x = 30 tickets if you pay 530 dollars.
Answer:
p = 7.50h
Step-by-step explanation:
The answer has to be in the form of p =, since p is the pay which represents our y value, and the hours worked represents our x value. You can find the slope of the line by using the formula and any two points on the table:

That simplifies to 7.5. So the slope of the line is 7.5. We also know that the line goes through the origin (0, 0), which means, according to our data (and any data in the real world) that if you work 0 hours (x) you get 0 pay (y). So the y intercept of the line is 0. The equation, then, in slope-intercept form, is
p = 7.50h, the first choice. This means that the employee makes $7.50 per hour and should probably consider a new job.
Answer:
64 degrees
Step-by-step explanation: