(8x-14)° (5y+16)° (5x+34)° find x so that l || m and find y so that l || m

Step-by-step explanation:

From the picture attached,

Two lines l and m are parallel lines and a traversal is intersecting them.

(8x - 14) = (5x + 34) [Since both the angles are alternate exterior angles]

8x - 5x = 14 + 34

3x = 48

x = 16

(8x - 14)° + (5y + 16)° = 180° [linear pair of angles]

(8×16) - 14 + 5y + 16 = 180

128 + 2 + 5y = 180

5y = 180 - 130

5y = 50

y = 10

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

(a) the volume of the cone is 20/3 in3

hence, option a is correct.