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Ber [7]
2 years ago
11

Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the

missing corresponding side length.
Mathematics
2 answers:
Yakvenalex [24]2 years ago
7 0

Answer:

<em>The corresponding side length is 8 inches</em>

Step-by-step explanation:

<u>Similar Shapes</u>

Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.

We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.

If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.

The corresponding side length is 8 inches

navik [9.2K]2 years ago
6 0

Answer:

12 inches

Step-by-step explanation:

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You can set this up as an algebraic equation using the ratio:

\frac{1}{2} = \frac{x}{x+1250}
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Cross multiply:
x + 1250 = 2x

Solve for x:
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To find the number of snowboarders, add 1250.
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5 0
3 years ago
Read 2 more answers
What is true about the solution of x^2/2x-6=9/6x-18?
pogonyaev

Answer:

  • x = ±√3, and they are actual solutions
  • x = 3, but it is an extraneous solution

Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

... 6x^2(x -3) -18(x -3) = 0

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Alternatively, you can subtract the right side of the equation and collect terms to get ...

... x^2/(2(x -3)) - 9/(6(x -3)) = 0

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So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

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<em>Comment on the graph</em>

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

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3 years ago
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68in

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l-3w = -16

l+w = 96

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2 years ago
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I had this on my math test

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