DF bisects EDG. Find FG. The diagram is not to scale. Show all steps.

FG = 14

Step-by-step explanation:

The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.

This implies that:

n + 9 = 4n - 6

Collect like terms

n - 4n = -9 - 6

-3n = -15

Divide both sides by -3

n = -15/-3

n = 5

✔️FG = 4n - 6

Plug in the value of n

FG = 4(5) - 6

FG = 20 - 6 = 14

7

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it