Answer:
imagine
Step-by-step explanation:
To work this out you need to do 80 - 64 - 4.16 = 11.48
he received $11.48 change
Answer: 0.99
Step-by-step explanation:
SOH CAH TOA
CAH: cosine = adjacent/hypotenuse
Cosine of angle w = 84/85 = 0.98823 ≈ 0.99
Angle Y is 90 degrees, meaning it's a right triangle. Therefore angle W is the top/tip of a triangle, while X is the angle next to Y. If you plug in the information afterwards and follow the trigonometry rule (SOH CAH TOA) you will find your answer.
Since we have to solve this system graphically, we'll have to draw both lines.
To draw a line, simply build a little tables with two x,y values: for the first line we have

So, you can draw the points (0,3) and (1,2), connect them, and you'll have the graph of the line 
For the second line we have

So, you can draw the points (0,5) and (1,6), connect them, and you'll have the graph of the line 
Finally, we have to check where the two lines cross. If your drawing is accurate enough, you'll see that the point you're looking for is (-1, 4)
Step-by-step explanation:
We know:
The sum of the measures of acute angles in a right triangle is equal 90°.
Therefore
(1) A + B = 90°
(2) 90° + B + C = 180° - angles on a straight line
(3) from (2) B + C = 90° → B = 90° - C
(4) from (1) and (3) A + (90° - C) = 90° → A - C = 0
Therefore
A = C → ∠A ≅ ∠C