A, more tension has a higher frequency
Answer:
Answer is below :)
Step-by-step explanation:
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Answer: 10 inches
Step-by-step explanation:
If the two triangles are similar, that means their sides are proportional to each other.
- JK = 15
- JL = 15 + 6 = 21
- JM = 14
<em>The proportion would look like this:</em>
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<em>Substitute in the values:</em>
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<em>Cross-multiply and solve for JN:</em>
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Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.