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Kruka [31]
3 years ago
11

The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another eq

uilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

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In Step 6, the equation is ...

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Clearly, to get to step 7, 36 has been added to both sides of the equation.

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3 years ago
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Step-by-step explanation:

the answer is 1/4

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3 years ago
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3 years ago
What is the solution to the system of equations?
natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

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Solution: (-6,1)

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3 years ago
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