Question 1 (5 points) If f(x) varies directly with x and f(x)= 130 when x=25 , find the value of f(x) when x=6.
Round you final answer to the nearest whole number.

  f(6) ≈ 31

Step-by-step explanation:

If f(x) varies directly with x, we can write f(x) this way:

  f(x) = kx

Using the given values, we can find k:

  f(25) = k×25 = 130

  k = 130/25 = 5.2

Then for x = 6, we have ...

  f(x) = 5.2x

  f(6) = 5.2×6 = 31.2

Rounded to the nearest whole number, ...

  f(6) ≈ 31

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°