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R is the segment bisector of ST. Find the value of x and SR. SR=7x, ST=6x+24

R is the segment bisector of ST. Find the value of x and SR. SR=7x, ST=6x+24
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R is the segment bisector of ST. Find the value of x and SR. SR=7x, ST=6x+24

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User Lightstep
by
7.4k points

1 Answer

2 votes

Answer:

x = 3, SR = 21

Explanation:

R is the segment bisector of ST.

Therefore,


ST = 2 * SR \\ 6x + 24 = 2 * 7x \\ 6x + 24 = 14x \\ 24 = 14x - 6x \\ 24 = 8x \\ (24)/(8) = x \\ \huge \orange{ \boxed{ x = 3}} \\ SR = 7x = 7 * 3 \\ \huge \red { \boxed{SR = 21}}

answered
User Vascop
by
8.4k points
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