Answer:
x=4.77
Angle 3=98.32 degrees
Angle 6= 81.68 degrees
Step-by-step explanation:
(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:
16x+22=3x+84 (angle 3=angle5)
Which we can now solve:
16x +22 - 22 - 3x=3x-3x+84-22
13x=62
13x/13=62/13
x=4.77 (2dp)
We can then use this x to calculate angle 3:
16(4.77)+22
76.33+22=98.32 degrees
Finally,
Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.
So to find angle 6,we can just subtract angle 3 from 180:
180-98.32=81.68 degrees.
Hope this helped!
Answer:
f(3) = 9
Step-by-step explanation:
Wherever you see an x on the right, put a 3 in for that x
f(x) = 2x^2 + x - 12
f(3) = 2*(3)^2 + 3 - 12
f(3) = 2*9 + 3 - 12
f(3) = 18 + 3 - 12
f(3) = 9
<h2>
Answer:</h2>
The sale price of your ticket would be $9.22
<h2>
Step-by-step explanation:</h2>
First you subtract 20% off from $10.90
Which is $8.72 , then you add 5.75%
so $8.72 + 5.75% = $9.22
Hope this helps have a nice evening please give me brainliest
Answer:
6hrs
Step-by-step explanation:
First, we have to put the information given to us about the money they earn into an expression
let x represent the number of hours Kini and Duke work and y represent the total amount of money they earn in a week.
y(kini) = 9x + 8
y(duke) = 7.5x + 17
Now we subtract the x values and the constant values
9x - 7.5x = 1.5x
17 - 8 = 9
Make these into an equation
1.5x = 9
Divide both sides by 1.5 so x(the number of hours the both work) can stand alone.
x = 6 hrs
