Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x + 10, the length of v s is x, the length of r t is x + 4, and the length of t q is x minus 3.

which value of x would make line segment t v is parallel to line segment q s?

3

8

10

11

Option C.

Step-by-step explanation:

Given information: TV║QS, RV=x+10, VS=x, RT=x+4 and TQ=x-3.

Triangle Proportionality Theorem: This theorem states that if a line segment is parallel to the base of a triangle and it intersects the other two sides, then it divides those sides proportionally.

Using the Triangle Proportionality Theorem, we get

Substitute the given values in the above equation.

On cross multiplication we get

Subtract x² from both sides.

Subtract 7x from both sides.

Divide both sides by -3.

The value of x is 10. Therefore, the correct option is C.

C.

Step-by-step explanation:

Lovely.

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

the answer is a

step-by-step explanation: