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c =2

Step-by-step explanation:

2(6c+2)+3c=2 (19 -c)

1. Distribute

2(6c +2 ) + 3c = 2 ( 19 - C )

12c + 4 +3c = 2 (19 - C )

2. Combine like terms

12c + 4 + 3c = 2 ( 19 - c )

15c + 4 = 2 (19 - c )

3. Rearrange terms

15c + 4 = 2( 19 - C )

15c + 4 = 2 ( -c + 19 )

4. Distribute

15c + 4 = 2 ( -c + 19 )

15c + 4 = -2c + 38

5. Subtract 4 from both sides of the equation

15c + 4 = -2c + 38

15c + 4 -4 = -2c + 38 -4

6. Simplify

Subtract the numbers

Subtract the numbers

15c = -2c +34

7. Add 2c to both sides of the equation

15c = -2 +32

15c +2c = -2c + 34 + 2c

8. Simplify

Combine like terms

Combine like terms

17c = 34

9.Divide both sides of the equation by the same term

17c = 34

17c/17 = 34/17

10. Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

c = 2

∠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°

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.