two segments are divided proportionally. If the ratio of the two parts of the first segment is 3:5, what is the length of the longer part of the second segment if the shorter measures 21 cm?

a. 30 cm b. 33cm c. 35 cm d. 37 cm

Respuesta :

Answer:

C.35 cm

Step-by-step explanation:

[tex] (\frac{21}{3} ) \times 5 = \\ 7 \times 5 = 35[/tex]

The length of the longer part of the second segment is 35cm.

What is proportion ?

"Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers."

"Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion"

Given here,

length of the shortest line segment is 21cm.

and ratio in which the length segment are been divided is 3:5

the length of the longest segment will be 21/3 * 5 = 35

Hence the length of the longest side will be 35cm.

To know more about proportions here

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