Question

reasoning for \\( \overline { a c } \\), select an equation you can use to find \\( a b \\).

a) \\( 1.5 + 3.7 = a b \\)
b) \\( a b + 3.7 = 1.5 \\)
c) \\( 1.5 + a b = 3.7 \\)
d) \\( 1.5 - a b = 3.7 \\)

Explanation:

Step1: Analyze the line segment relationship

From the figure, we know that \(AC = AB + BC\). Here \(AC = 3.7\mathrm{cm}\) and \(BC=1.5\mathrm{cm}\).

Step2: Substitute values into the formula

Substituting the values of \(AC\) and \(BC\) into the formula \(AC = AB + BC\), we get \(3.7=AB + 1.5\), which can be rewritten as \(1.5+AB = 3.7\).

Answer:

C. \(1.5 + AB=3.7\)