The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
Answer:
Step-by-step explanation:
Answer:
The answer is C. y= 4/5x -2
Step-by-step explanation:
y=mx+b
m is the slope or rise/run.
b is the y-intercept. You have to see where the line crosses at the y-axis.
Answer: 
Step-by-step explanation:
y=mx+b is the equation for a non-proportional relationship. Essentially, you can use this for a proportional relationship as well, since the y-intercept of a proportional relationship will always be zero. 
and 
are the variables of the equation, and represent the coordinates of the line. 
is the slope of the equation. To find the slope, use rise over run, or the change in y between two points over the change in x between two points. The last part is the y-intercept, or 
. This shows when the line intercepts the y-axis.
