STR is a triangle as shown in the picture. If Luke decided to subtract 128º from 180º, that's because he understood that the sum of the internal angles in a triangle is 180º, and therefore the angles RST and TRS together make 128º.
As a result, RST will be
128º - TRS
where TRS is the angle at R, as shown in the picture
5(2x - 8) + 15 = -15
-15 -15 subtract 15 from each side
5(2x - 8) = -30
÷5 ÷5 divide both sides by 5
2x - 8 = -6
+8 +8 add 8 to each side
2x=2
÷2 ÷2 divide both sides by 3
x = 1
Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15 Correct! x=1
Answer:
1 and 2/3
Step-by-step explanation:
5/3 = 1 and 2/3 * 1 = 1 and 2/3
They need 18 more teachers.
Set the problem up as a ratio.
3 x
---- = -------
70 14,700
70 x = 44,100
x = 630
The district already has 612 teachers. So, 630 - 612 = 18 more needed.