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natulia [17]
3 years ago
15

Point S is on line segment \overline{RT} RT . Given RT=4x,RT=4x, ST=5x-10,ST=5x−10, and RS=6,RS=6, determine the numerical lengt

h of \overline{ST}. ST .
Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

ST = 10

Step-by-step explanation:

Given

RT =4x

ST = 5x - 10

RS = 6

Required

Determine ST

Since S is on RT, we have that:

RT = RS + ST

4x = 5x - 10 + 6

4x = 5x - 4

4x - 5x= - 4

-x= - 4

x= 4

Substitute 4 for x in ST = 5x - 10

ST = 5 * 4 - 10

ST = 20 - 10

ST = 10

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