Solve The System By Substitution.. Y=8x Y=10x-4 Sq - Gauthmath

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Question

Given a triangle with side lengths of 5 and 8, fnd the range of possible values for the third side, x. (Please enter your answer in the following format: value value. For example, if the range is from 1 to 2, please enter 1 type your answer... □ type your answer...SHOW LESS0

Solution

user avatar imageAnswer3 < x < 13ExplanationExplanation: According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Similarly, the difference between the lengths of any two sides must be less than the length of the third side. Step 1: Let the third side be x. Step 2: The sum of the two known sides must be greater than the third side: 5 + 8 > x, which simplifies to 13 > x. Step 3: The difference between the two known sides must be less than the third side: 8 - 5 < x, which simplifies to 3 < x. Combining both inequalities, we get the range for the third side: 3 < x < 13.Click to rate:32.4(68 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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