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Question in photo​

See below

Step-by-step explanation:

ΔABC has been flipped over, so we have a reflexion using line BC

So, the answer to 1.  is line BC

The result is ΔE'F'D'

Now ΔE'F'D' is moved 4 units to the right.  That is the answer to 2.

The result is ΔE"F"D"

Finally ΔE"F"D" is moved 1 unit down.  That is the answer to 3.

The final result is ΔEFD

Ok.  Did that help you?

positive

step-by-step explanation:

the quadrant is facing upwards

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