find the value of x, AB and BC if AC =95, AB=15x-10. BC=5x+5
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The value of x, AB, and BC are 5,65, and 30 respectively.
Given:
AC =95
AB=15x-10
BC=5x+5
To Find:
The value of x, AB, and BC.
Solution:
We are required to find the value of x, AB, and BC.
Let us consider AC as the line segment and B as an interior point on line segment AC.
Then, AC = AB + BC
95 = (15x-10)+(5x+5)
95 = 20x - 5
20x = 100
x = 5
AB=15x-10-----(1)
BC=5x+5------(2)
On substituting the value of x in equations (1) and (2), we get
AB = 15(5)-10
= 75-10
= 65
BC = 5(5)+5
= 25+5
= 30
Therefore, The value of x, AB, and BC are 5,65, and 30 respectively.
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