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Rashid [163]
3 years ago
13

Solve for x. 3:12 = x:16 9/4 4 64

Mathematics
2 answers:
NemiM [27]3 years ago
6 0

Answer:  The required value of x is 4.

Step-by-step explanation:  We are given to solve the following equation for the value of x :

3:12=x:16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

a:b=\dfrac{a}{b}.

So, from equation (i), we get

3:12=x:16\\\\\\\Rightarrow \dfrac{3}{12}=\dfrac{x}{16}\\\\\\\Rightarrow \dfrac{1}{4}=\dfrac{x}{16}\\\\\\\Rightarrow x=\dfrac{16}{4}\\\\\Rightarrow x=4.

Thus, the required value of x is 4.

Mekhanik [1.2K]3 years ago
3 0
You have
  3/12 = x/16
Multiply by 16
  16*(3/12) = x = 4

x = 4
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What are the coordinates of the endpoints of the midsegment for △XYZ that is parallel to XZ⎯⎯⎯⎯⎯ ?
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The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Step-by-step explanation:

In a triangle the segment which joining the mid points of two sides:

  • Parallel to the 3rd side
  • Its length is equal half the length of the 3rd side
  • It's called the mid-segment of the triangle

In Δ XYZ

∵ Vertex X is (0 , 7)

∵ Vertex Y is (2 , 5)

∵ Vertex Z is (0 , 1)

∵ The mid-segment of Δ XYZ is parallel to XZ

- The mid-segment intersects the other two sides of the Δ

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∴ The mid-segment intersects XY and YZ at their midpoints

∴ The endpoints of the mid-segment are the midpoints of

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The mid point of a segments whose endpoints are (x_{1},y_{1}) and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ X = (0 , 7) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 7 and y_{2} = 5

∵ The mid point of XY = (\frac{0+2}{2},\frac{7+5}{2})

∴ The mid point of XY = (\frac{2}{2},\frac{12}{2})

∴ The mid point of XY = (1 , 6)

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∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 1 and y_{2} = 5

∵ The mid point of ZY = (\frac{0+2}{2},\frac{1+5}{2})

∴ The mid point of ZY = (\frac{2}{2},\frac{6}{2})

∴ The mid point of ZY = (1 , 3)

∵ The endpoints of the mid-segment are the midpoints of

   XY and YZ

∴ The end points of the mid segments are (1 , 6) and (1 , 3)

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Learn more:

You can learn more about the mid-point in brainly.com/question/5223123

#LearnwithBrainly

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