Tell whether the ordered pair is a solution of equation. Show answer
y = x + 11 (4, 13)

no because 13 does not equal 4 plus 11

Step-by-step explanation:

4 is x

13 is y

in an equation it would look like this:

13=4+11

4+11=15

therefore the orderd pair (4,13) is not a solution to the equation y=x+11

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