triangle abc was dilated using the rule $d_{y,\frac{5}{4}}$. if ca = 8, what is ca? 10 units 12 units 16…

triangle abc was dilated using the rule $d_{y,\frac{5}{4}}$. if ca = 8, what is ca? 10 units 12 units 16 units 20 units

triangle abc was dilated using the rule $d_{y,\frac{5}{4}}$. if ca = 8, what is ca? 10 units 12 units 16 units 20 units

Answer

Answer:

10 units

Explanation:

Step1: Identificar la escala de dilatación

La regla de dilatación es $D_{Y,\frac{5}{4}}$, donde $\frac{5}{4}$ es el factor de dilatación.

Step2: Calcular la longitud de CA'

Usamos la fórmula $CA'=CA\times \text{factor de dilatación}$. Dado que $CA = 8$ y el factor de dilatación es $\frac{5}{4}$, entonces $CA'=8\times\frac{5}{4}$. $8\times\frac{5}{4}=\frac{8\times5}{4}=\frac{40}{4}=10$ unidades.