Answer:
e = 126
Step-by-step explanation:
Both triangles are isosceles triangles. Therefore in the smaller triangle, there are two angles that are equal to 42 degrees (the other one is next to e)
42 + 42 = 84
there are 180 degrees in a triangle
180 - 84 = 96
So the last angle in the triangle (The little one) is equal to 96 degrees.
The rule for cyclic quadrilaterals is that the two opposite angles equal 180. So the angle opposite 96 degrees will be equal to:
180 - 96 = 84
As the larger triangle is also an isosceles (as mentioned above), two angles will be equal to each other. The two angles that are equal are at the bottom left. As one of them is equal to 84, the other is also equal to 84. This means the last angle (the one at the top) is equal to:
180 - (84 + 84) =
180 - 168 = 12
Angles on a straight line always equal 180 degrees. So 'e' is equal to 180 minus the other two triangle angles on the line they all share.
180 - (12 + 42) =
180 - 54 = 126
Therefore e = 126
Answer:
$1,497.05
Step-by-step explanation:
Brett had 2 hrs OT his first week which would be (40 hr × 18.95 )+ (18.95 ×3) add the total to (36×18.95).
Using linear functions, it is found that option 2 will need the fewest amount of ticket sold.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For each option, we have that:
- The slope is the percentage multiplied by the ticket price.
- The fixed commission is the y-intercept.
For option 1, the earnings with x ticket sales is given by:
y = 9500 + 0.05x.
With y = 13000, we find the amount of tickets that have to be sold to earn $13,000, hence:
13000 = 9500 + x
x = 3,500 tickets
For option 2, the earnings with x ticket sales is given by:
y = 8000 + 2x.
Hence:
13000 = 8000 + 2x
2x = 5000
x = 2,500
x = 2,500 tickets;
For option 3, the earnings with x ticket sales is given by:
y = 4500 + 3x.
13000 = 4500 + 3x
3x = 8500
x = 8500/3
x = 2,833 tickets.
Hence option 2 will need the fewest amount of ticket sold.
More can be learned about linear functions at brainly.com/question/24808124
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31 bcs 12+2 is 14x3 is 42 and 14+(-5) to the second power is -11 42-(-11) is 31
Answer:
The correct option is (C).
Step-by-step explanation:
We need to find the correct option that does not represent y as a function of x.
In options A, B, D and E, both x and y are involved. It means we can represent y as a fucntion of x.
But in option (c), it has only y as a variable i.e.
-4y=-8
y=(8/4)
y = 2
<em>So, this option does not represent y as a function of x. </em>