Mathematics: Use the information below to find ef such that abc ~ def. ab = 36, bc = 24, de = 48, b= 110 angle e = 110 angle, ef = ? a.32 b.36 c.68 d.72

21 oz gained or 1.3 lb Explanation:2 lb and 3 oz = 35 oz He later weighed 56 oz 56 - 35 = 21 oz...

Use the information below to find ef such that

Cocco

13.03.2022

Correct option is A) 32

Step-by-step explanation:

In figure-1 , the triangle Δ ABC and Δ DEF

Since, both triangles are similar then ratios of their lengths of corresponding sides must be equal.

$\frac{AB}{DE}=\frac{BC}{EF}$

$\frac{36}{48}=\frac{24}{EF}$

Simplify the above,

$\frac{36}{48}=\frac{24}{EF}$

Multiply both the sides by $\frac{EF}{24}$

$\frac{EF}{24}\times\frac{36}{48}=\frac{EF}{24}\times \frac{24}{EF}$

$\frac{EF}{2}\times\frac{1}{16}=1$

$\frac{EF}{32}=1$

multiply both sides by '32' on both the sides of above expression,

EF=32

Hence, correct option is A) 32

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