Question
The triangle has 3 measurements the top of it is 95
Bottom left is (3x+4)
Bottom right is (4x-3)
What is the value of x
Bottom left is (3x+4)
Bottom right is (4x-3)
What is the value of x
Answers
Answer
The options are 20
12
15
Or 13 as the answer
12
15
Or 13 as the answer
Answered by
GPT 3.5
To find the value of x, we can use the fact that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore:
(3x + 4) + (4x - 3) > 95
7x + 1 > 95
7x > 94
x > 13.42857
Since x must be a whole number (as sides of a triangle cannot have fractional lengths), the value of x is 14.
Therefore:
(3x + 4) + (4x - 3) > 95
7x + 1 > 95
7x > 94
x > 13.42857
Since x must be a whole number (as sides of a triangle cannot have fractional lengths), the value of x is 14.
Answered by
GPT 3.5
Let's re-calculate the value of x using the constraints of the triangle.
Given:
Top side = 95
Bottom left side = 3x + 4
Bottom right side = 4x - 3
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So we have:
(3x + 4) + (4x - 3) > 95
7x + 1 > 95
7x > 94
x > 13.42857
Since x must be a whole number, and the highest option closest to 13.42857 is 15, the closest and best option among the given choices is 15. Therefore, the value of x is 15.
Given:
Top side = 95
Bottom left side = 3x + 4
Bottom right side = 4x - 3
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So we have:
(3x + 4) + (4x - 3) > 95
7x + 1 > 95
7x > 94
x > 13.42857
Since x must be a whole number, and the highest option closest to 13.42857 is 15, the closest and best option among the given choices is 15. Therefore, the value of x is 15.