Answer:
x=13
z=84
Step-by-step explanation:
The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.
Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.
(11x-59)+(13x-73)=180 (always use parenthesis!)
24x-132=180 (combine like terms)
24x=312
x=13 (isolate x)
We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.
11(13)-59=84
z=84
There are a number of radian-degree equivalents that it would be time-saving and otherwise worthwhile to memorize. π/6 = 30 degrees is one of these. For reference, here are a few others:
radians degrees
0 0
2π 360
π 180
π/2 90
π/4 45
and so on. Good luck!
Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
Answer:
13. 0.145, 0.18, 0.206, 0.315
14. 1.75 times
<u><em>WARNING</em></u>
<em>im not completely sure sooo, Im really really sorry if you get it wrong</em>
