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tekilochka [14]
1 year ago
15

Triangles IJK and LMN are similar. Find y using proportions. Explain and show all your steps.

Mathematics
1 answer:
Deffense [45]1 year ago
4 0

Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:

IJ/ML = JK/MN = IK/LN

where:

IJ = x

JK = 54

IK = y

MN = 42

ML = 28

NL = 35

In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow

JK/MN = IK/LN replace by the values

54/42 = y/35 multiply both sides by 35

(54/42)(35) = y

45 = y

Hence, y = 45

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  2. The ratio of the sides of the small box to the medium box is 1:2.
  3. The ratio of the area of the small box to the medium box is 1:4.
  4. The ratio of the volume of the small box to the medium box is 1:8.

<h3>What are the ratio of the small box to the medium box?</h3>

The first step is to determine the side lengths of the small box.

Side length = ∛64 = 4 in

Side lengths of the medium boxes = 4 x 2 = 8 inches

Volume of the medium box = 8³ = 256 cubic inches

The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.

The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) =  1:4.

The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.

To learn more about the volume of a cuboid, please check: brainly.com/question/26406747

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Answer:

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Step-by-step explanation:

The only thing you need to do in this problem is to multiply the hours by the rate (mph).

3.6 × 205.7 = 740.52

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Step-by-step explanation:

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Step-by-step explanation:

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