8.) a. mPW = 125
b. mRPW = 27.5
c. mPRW = 62.5
d. mWERE = 27.5
e. mWER = 62.5
f. mEWR = 27.5
9.) [tex]PS = \sqrt{(AP)^2 - (AS)^2} [/tex]
[tex]PS = \sqrt{12^2 - 8^2}[/tex]
[tex]PS = \sqrt{80} [/tex]
[tex]PS = 4 \sqrt{5} [/tex]
[tex]QS = \sqrt{10^2 - 8^2} [/tex]
[tex]QS = \sqrt{100 - 64} [/tex]
[tex]QS = 36[/tex]
[tex]QS = 6[/tex]
AB = 16, AP = 12, AQ = 10
PS + QS = PQ
Therefore, the answer is:
PQ = [tex]4 \sqrt{5} + 6[/tex]
