Which linear function shows a direct variation?
graph a
graph b
-5 -4 -3 -24
lt
1
2
3
4
5
x
-5 -4 -3 -2 -111 2 3 4 5
+
+
+
graph
graph d

translate k to n and reflect across the line containing jk.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation: