The 3rd option is correct
We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.
We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5
Now we know our equation is y = 1.5x + 0.5
We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
x^2 - 81 = 0. Add 81 to each side.
x^2 = 81. Take the square root of each side.
x = 9, -9
Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.
Use the Law of Sines to find the value of a, as follows:
sin 50 deg sin 62 deg
-------------- = ----------------
a 31 cm
31sin 50 31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
sin 62 0.883
a =
