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If rs = 3x, st = 6x + 1, and rt = 10, what is st

User Wagmare
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1 Answer

3 votes

Answer:

7

Explanation:

RS is a segment part of a line and ST is also a line segment.

Given that the total segment (RT) is equal to 10, and two segments of this segment (RS) = 3x and (ST) = 6x + 1, we can add these two segments together and set them equal to the total length of the segment(10) (which combines these two segments (RS and ST).

Set it up:

(3x) + (6x + 1) = 10

Combine like terms:

(3x + 6x) + (1) = 10

9x + 1 = 10

-1 -1

9x = 9

/9 /9

x = 1

Now that we have the x-value, plug this in the expression that represents segment ST to get the length of ST.

ST = 6x + 1

Substitute "x" for 1:

ST = 6(1) + 1

ST = 6 + 1

ST = 7

If rs = 3x, st = 6x + 1, and rt = 10, what is st-example-1
User Jayashree Shetty
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