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zloy xaker [14]
3 years ago
15

In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

Mathematics
1 answer:
puteri [66]3 years ago
7 0

Answer:

24

Step-by-step explanation:

We have the theorem that if we join the midpoints of two sides of a triangle then the line so formed will be half of the third side of the triangle.

So, here in this case in triangle XYZ, A is the mid point of XY and B is the mid point of YZ,

Hence, Segment AB = Half of segment XZ = \frac{18}{2} =9

Similarly, Segment BC = Half of segment XY = Segment AY =7

{Since, Segment AY = Half of segment XY}

And again, Segment CA = Half of segment YZ = Segment BZ = 8

So, the perimeter of triangle ABC is = AB + BC + CA = 9 + 7 + 8 = 24. (Answer)

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If you have 3 1/2 cups of something and you want to find how many 1/4 cups there are the you just need to divide 3 1/2 by 1/4
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the answer is 14, there are 14 1/4 cups in 3 1/2 cups.
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Step-by-step explanation:

3 0
3 years ago
Find a polynomial f(x) of degree 4 that has the following zeros.
34kurt

Answer:

The answer to your question is     (x₁ - 4)(x₂ - 9)(x₃)(x₄ +4)

Step-by-step explanation:

Data

zeros of a polynomial  = 4, 9, 0, -1

Process

1.- Equal each root to zero

   x₁ = 4     x₂ = 9    x₃ = 0    x₄ = -1

  x₁ - 4 = 0    x₂ - 9 = 0     x₃ = 0    x₄ + 1 = 0

2.- Write the terms together

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3.- Expand to check the answer

   (x - 4)(x - 9) = x² -13x + 36

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   (x³ - 13x² + 36x)(x + 4) = x⁴ - 13x³ + 36x² + 4x³ - 52x² + 144x

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