WILL MARK BRIANLIEST
Find the measure of arc DF.

Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 5x plus 10 degrees, the measure of angle EGC is 70 degrees, and the measure of arc DF is 11x plus 2 degrees.

50°
90°
100°
140°

  90°

Step-by-step explanation:

The measure of the given angle is the average of the measures of the intercepted arcs:

  70 = ((5x +10) +(11x +2))/2 = 8x +6

  (70 -6)/8 = x = 8

Then arc DF is ...

  11·8 +2 = 90 . . . . . degrees

Arc DF = 90°.

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Check

Arc CE is 5(8)+10 = 50 degrees, so the angle where the chords cross is (90+50)/2 = 70, as per the problem statement.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.