Answer:
68.6
Step-by-step explanation:
Given the initial ratio of 24 points out of 35 possible points, you can set up a proportion (equivalent ratios) to find the expected number of points math students would ear on a test of 100 possible points:
Where 'x' is the number of points earned on the 100 point test.
Cross-multiply: 35x = 24(100) or 35x = 2400
Divide both sides by 35: 35x/35 = 2400/35
Solve for x: x = 68.6
Check the picture below.
as you recall from the previous exercise, x = 74°, now, using the "inscribed angle theorem" as you saw already, the green intercepted arc is 160°, so y = 160° - 74°.
as far as ∡z, well, we can just use the "inscribed quadrilateral conjecture".
The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
Use your calculator
The answer is ≈ 0.9164
