help me plsssssssssssssss
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Answer:
1. 7.5
2. 6
Step-by-step explanation:
There's a theorem that you may know
DN * MD = SD * RD
It is same like the secant tangent theorem
so,
1. DN * 8 = 15 * 4
DN = 7.5
2. 8 * 9 = RD * SD
RD * SD = 72
RD + SD = RS = 18
Put RD = 72/DS in above equation
(72/DS) + DS = 18
(DS)² - 18 DS + 72 = 0
Solve the quad to get DS = 6 or 12
So finally DS will be taken as 6 and RD will be 12 as from figure DS is smaller than RD
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