1: y=5x-3 OR -3+5x=y
2: y=3x+2 OR 2+3x=y
3: y=3x+2 OR 2+3x=y
4: y=1x-12 OR -12+1x=y
The answer is 20.5
Subtract both 7.5 and 22 from 50
50-7.5 = 42.5
42.5 - 22 = 20.5
Hope this helps :)
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.
RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124
Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152
Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76
There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152
To multiply a fraction with another fraction, we multiply the numerators the denominators:
(5/2) x (2/3) = (5 x 2) / (6 x 3) = 10/18 = 5/9