11. Use Structure for each of the graphs below, write an inequality that the graph represents.
Explain your reasoning. © MP.7
a.
+ + + +
0 1 2 3
-5 -4 -3 -2 -1
4 5
b.
+
-5 -4 -3 -2 -1
+
0
+
1
+
2
+
4
3
5

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

7 is the median   7.875 is the mean

step-by-step explanation:

3,4,5,6,8,11,13,13

4n=2m

ratio of m to n: 2/4 = 1/2

answer

a. 1/2