Points j and k are midpoints of the sides of triangle fgh. triangle f g h is cut by lines segment j k. point j is the midpoint of side g h. point k is the midpoint of side h f. line segments g j and j h are congruent. line segments h k and k f are congruent. the length of j k is 2 y + 5 and the length of g f is 5 y + 3.
what is the value of y?

Value of y = 7

Step-by-step explanation:

By the midpoint theorem of the triangles,

"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."

Therefore, from the figure attached,

In ΔFGH,

J and K are the mid points of the two sides GH and FH.

By theorem, segment JK║GF and m(JK) =

(5y + 3) = 2(2y + 5)

5y + 3 = 4y + 10

5y - 4y = 10 - 3

y = 7

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph