Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
<h3><u>Answer</u>:- </h3>
<h3><u>Solution:-</u></h3>
<u>Given </u><u>that </u><u>:</u><u>-</u>
- job last for h hours
- Cost of job lasting more than 1 hour = $30
- Cost for the first hour = $75
Remaining hours for which the job will last after first hour= (h-1)
<u>Therefore</u>,
Cost for subsequent hours = 30×(h-1)
= 30(h-1)
Total Cost for job = Cost for 1st hour + Cost for subsequent hours
Lets look at the information we have:-
$7.50 per hour
How many hours to earn $116.25?
To answer this we will divide. Lets do it:-
116.25 ÷ 7.50 = 15.5
15 and a half hours.
CHECK OUR WORK:-
15.5 × 7.50 = 116.25
We were RIGHT!!
So, to earn $116.25 when getting paid $7.50 per hour you would need to work for 15 and a half hours.
Hope I helped ya!!!
Try this option (it is not the only way):
the points (0;0) and (2;2) belong to the curve. Using the coordinates of these points it is possible to calculate the equation.
Answer: Vertex (-2,-15) and therefore the axis of sym will be -2
Step-by-step explanation: Using -b/2a you can deduce that 4x^2 is a, 16x is b and 1 is c. So -b/2a = -16/8 = -2. Then you plug -2 for y and yu should get -15. Then x will be your axis of symetry to x=-2
