Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1. points a, b, and c are collinear. point b is between c and a. find b…

Question

  1. points a, b, and c are collinear. point b is between c and a. find ba if: cb= ca=13 ba

Explanation:

Step1: Recall collinear points formula

For collinear points \( C \), \( B \), \( A \) with \( B \) between \( C \) and \( A \), we have \( CA = CB + BA \).

Step2: Solve for \( BA \)

Given \( CB = 8 \) and \( CA = 13 \), substitute into the formula: \( 13 = 8 + BA \). Subtract 8 from both sides: \( BA = 13 - 8 \).

Answer:

\( 5 \)