Peyton collected data to show the relationship between the number of hours he practices and the number of areas he makes him playing a new piece of music The table shows his data which is the approximate slope of the line of best fit for the data

-4.5

Step-by-step explanation:

We will use a graphing calculator to find the line of best fit and the corresponding regression equation.

First we enter the x values into the first list.  Then we enter the y values into the second list.

We pull up the graph (attached).  Next we calculate the linear regression (screenshot attached).  In the regression, we can see that the slope is -4.5 (rounded to the nearest tenth).

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.

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