Respuesta :
Answer:
9 units = 15 cm
Step-by-step explanation:
[tex]\bold{METHOD\ 1:}\\\\6\ units=10\ cm\to1\ unit=\dfrac{10}{6}\ cm=\dfrac{5}{3}\ cm\\\\9\ units=9\times1\unit=9\times\dfrac{5}{3}\ cm=\dfrac{9\times5}{3}\ cm=\dfrac{45}{3}\ cm=\boxed{15\ cm}\\\\\bold{METHOD\ 2:}\\\\\begin{array}{cccc}6\ units&-&10\ cm&\text{divide both sides by 2}\\\\3\ units&-&5\ cm&\text{multiply both sides by 3}\\\\9\ units&-&\boxed{15\ cm}\end{array}[/tex]
[tex]\bold{METHOD\ 3:}\\\\\begin{array}{ccc}6\ units&-&10\ cm\\\\9\ units&-&x\ cm\end{array}\qquad\text{cross multiply}\\\\\\(6)(x)=(9)(10)\\\\6x=90\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}=\dfrac{90}{6}\\\\\boxed{x=15\ (cm)}[/tex]
First, divide the total centimeters to units.
10 / 6 = 5/3
Second, multiply by 9 (9/1).
5/3 * 9/1 = 45/3 = 15
Therefore, 9 units is equal to 15cm.
Best of Luck!