Question

open-ended question given i is the midpoint of \\(\overline{wn}\\) \\(wi = 15x - 13\\) \\(in = 8x - 6\\) what is the value of x? enter the numeric value only. (do not enter x = #. just input the number)

Explanation:

Step1: Use midpoint property

Since \( I \) is the midpoint of \( \overline{WN} \), \( WI = IN \). So we set the two expressions equal: \( 15x - 13 = 8x - 6 \).

Step2: Solve for \( x \)

Subtract \( 8x \) from both sides: \( 15x - 8x - 13 = -6 \), which simplifies to \( 7x - 13 = -6 \). Then add 13 to both sides: \( 7x = -6 + 13 \), so \( 7x = 7 \). Divide both sides by 7: \( x = \frac{7}{7} = 1 \).

Answer:

1