Answer:
Step-by-step explanation:
Let's begin by identifying the lengths of the three sides of the triangle:
length of side 1 = 17
length of side 2 = 2x - 1 (1 less than twice side 3)
length of side 3 = x
Now let's apply the Triangle Inequality Theorem to this triangle:
side 1 + side 2 > side 3:
17 + 2x - 1 > x
16 + 2x > x
2x - x > -16
x > -16 (reject negative measurement)
2x - 1 > -33 (reject negative measurement)
side 1 + side 3 > side 2
17 + x > 2x - 1
x - 2x > -1 - 17
-x > -18
x < 18
2x - 1 < 35
side 2 + side 3 > side 1
2x - 1 + x > 17
3x - 1 > 17
3x > 18
x > 6
2x - 1 > 11
Thus, we have our answers based on the value of x:
6 < x (length of side 3) < 18
11 < 2x - 1 (length of side 2) < 35
Thanks for submitting this problem and glad to help.
Answer:
Subtract 9 from both sides of the equation.
The equation would be 30+3m=162 then you solve the problem.
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