The solution is that x = 26 and y = 9.
In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.
5x - 17 + 3x - 11 = 180 ----> combine like terms
8x - 28 = 180 ----> add 28 to both sides
8x = 208 -----> divide by 8
x = 26
Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.
3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms
3x + 2y + 84 = 180 -----> Put 26 in for x.
3(26) + 2y + 84 = 180 -----> Multiply
78 + 2y + 84 = 180 ------> Combine like terms again
2y + 162 = 180 ------> Subtract 162 from both sides
2y = 18 -----> Divide by 2
y = 9
Answer:
<u> </u><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7</u><u>0</u><u>°</u><u>.</u>
Step-by-step explanation:
Let's name the angle to the right of 125° as 'y'.
y = 180 - 125 (linear pair)
<u>y = 55</u>°
Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)
x = 180 - (55+55)
x = 180 - 110
<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u>°</u>
Its b because the equation pretty much says that is fx is gx when x is subtracted by 2
320×.15= 48
320-48=$272
320-45=$275
so the 15% off is the better deal
