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maxonik [38]
4 years ago
5

RS=5y+5, ST=3y+7, and RT=12y-20 what is the value of y?

Mathematics
1 answer:
marta [7]4 years ago
7 0
Since S is a point on the line RT, therefore:
RS+ST = RT
5y+5+3y+7 = 12y-20
separate the variables and solve to get thevalue of y as follows:
5+7+20 = 12y-3y-5y
32=4y
y = 8

substitute in the equation of each line to get its length as follows:
RS = 5y+5 = 5(8)+5 = 45
ST = 3y+7 = 3(8)+7 = 31
RT = 12y-20 = 12(8)-20 = 76
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