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wariber [46]
3 years ago
6

smallest cube has a edge length of 6 inches. what are the lengths of the other cubes if the ratios of similarity to the smallest

cube are 1.25, 4/3, 1.5, 7/4 and 2 respectively
Mathematics
1 answer:
serg [7]3 years ago
8 0
<span>The ratio of similarity is simply the number you multiply by to scale from one similar object to another. Since you've been told the smallest object has an edge length of 6 inches, just multiply each of the ratios by 6 to get the length of their edge. So 1.25: 1.25 * 6 inches = 7.5 inches 4/3: 4/3 * 6 inches = 24/3 inches = 8 inches 1.5: 1.5 * 6 inches = 9 inches 7/4: 7/4 * 6 inches = 42/4 inches = 21/2 inches = 10.5 inches 2: 2 * 6 inches = 12 inches</span>
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The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

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Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

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Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

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