Exam Maths Puzzle Interview

I have a triangle... it doesn't look like a right triangle, but the teacher says don't assume anything. The triangle is labelled so: A B C. Intersecting angle B is a line that intersects segment AC.
Here are the measurements of the sides that are given in the problem.
AC = 20
EG = 12
FH = 6
BD = x.
find x.

Thanks
Ben Elam

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Exam Other Question

The charge for Yellow's Yard Service is a linear function of the number of hours the yard work takes. Len was charged $44 for three hours of yard work, while his neighbour Mavis was charged $60 for five hours of work. Write the cost C of having Yellow's work on a lawn as a function of the number of hours n it takes them to finish the work. for solve for y
1. y-3x=7
2. 2x+y=5

solve for a
a + 3b = -2