Answer:
42.3°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.
now plug it in, since there is no angle then we plug it in as
in the calculator, (be sure to be in degree mode)
x= 42.3°
(does that make sense)
Explanation:
Despite there only being one line shown, there are actually two lines here. One just happens to be directly on top of the other.
We can see this by noting that 2y = 3x-1 turns into 4y = 6x-2 when we multiply both sides by 2. Multiplying both sides by the same number keeps the same equation, so that's why we have identical graphs.
The two identical graphs intersect each other infinitely many times, leading to infinitely many solutions. All solutions are (x,y) points on the blue line. Two such solutions are (1,1) and (3,4). All solutions are of the form