Question

Choose the correct proportions.

Answer 1

Answer:

b) 5:7 = 15:21

Step-by-step explanation:

This questions tests our understanding of enlargement ratios.

#Determine the decimal equivalents or simplify to see which one is correct:

#a) 5:21 = 7:15

$\frac{5}{7}=0.7143\\\\\frac{7}{15}=0.4667\\\\5:7\neq 7:15$

#b) 5:7 = 15:21

$=\frac{5}{7}\\\\=\frac{15}{21}=\frac{5}{7} \# dividing \ by \ 3$$\frac{5}{7}=\frac{15}{21}$

#c) 5:7 = 21:15

$\frac{5}{7}=0.7143\\\\\frac{21}{15}=1.4\\\\\frac{5}{7}\neq \frac{21}{15}$

#d) 21:5 = 15:7

$\frac{21}{15}=1.4\\\\\frac{15}{7}=2.1429\\\\\frac{21}{15}\neq \frac{15}{7}$

Hence, option b is the correct one as 5:7 = 15:21