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Question #1 * If RS=59 and ST=10 x-31, find x. Your answer

Question \#11 *\newlineIf RS=59 R S=59 and ST=10x−31 S T=10 x-31 , find x x .\newlineYour answer

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Full solution

Q. Question \#11 *\newlineIf RS=59 R S=59 and ST=10x−31 S T=10 x-31 , find x x .\newlineYour answer
  1. Given Segment Lengths: We are given that RS=59RS = 59 and ST=10x−31ST = 10x - 31. Since RSRS and STST represent the same line segment, we can set them equal to each other to find the value of xx.\newlineRS=STRS = ST\newline59=10x−3159 = 10x - 31
  2. Set Equal and Solve: To solve for xx, we need to isolate xx on one side of the equation. We can do this by adding 3131 to both sides of the equation.\newline59+31=10x−31+3159 + 31 = 10x - 31 + 31\newline90=10x90 = 10x
  3. Isolate x and Divide: Now, we divide both sides of the equation by 1010 to solve for xx.\newline9010=10x10\frac{90}{10} = \frac{10x}{10}\newline9=x9 = x

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