Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find the value of RS, ST, and RT *

RS = - 7

ST = - 13.5 = - 13½

RT = - 20.5 = - 20½

Step-by-step explanation:

From the question given above, the following were obtained:

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:

From diagram above, it is evident that:

RT = RS + ST

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

5y - 13 = 6y + 2 + 15y + 9

5y - 13 = 6y + 15y + 2 + 9

5y - 13 = 21y + 11

Collect like terms

5y - 12y = 11 + 13

- 16y = 24

Divide both side by - 16

y = 24/ - 16

y = - 1.5

Finally, we shall determine RS, ST and RT as follow:

RS = 6y + 2

y = - 1.5

RS = 6(-1.5) + 2

RS = - 9 + 2

RS = - 7

ST = 15y + 9

y = - 1.5

ST = 15(-1.5) + 9

ST = - 22.5 + 9

ST = - 13.5 = - 13½

RT = 5y - 13

y = - 1.5

RT = 5(-1.5) - 13

RT = - 7.5 - 13

RT = - 20.5 = - 20½

answer are

step-by-step explanation:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral