Question

Given that AABCDEF, solve for X. B A. 10 o B. 6 C. 17 0 0

Answer 1

Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

$\frac{EF}{BC}$ = $\frac{DE}{AB}$ , substitute values

$\frac{x}{42}$ = $\frac{5}{30}$ ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

Answer 2

The ratio remains same

$\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}$

$\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}$

$\\ \sf\dashrightarrow 15x=105$

$\\ \sf\dashrightarrow x=7$