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insens350 [35]
3 years ago
10

Which statement best explains why the dilation of a triangle produces a similar triangle

Mathematics
1 answer:
Allushta [10]3 years ago
6 0

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

<u>Step-by-step explanation:</u>

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

  • If | k |> 1, the dilation is an extension.
  • If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

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If an object is projected upward from ground level with an initial velocity of 128 ft per sec, then it's height in feet after t
antoniya [11.8K]

Answer: t= 4 seconds

Maximum height = 256 feet

Step-by-step explanation:

The height of the object projected upwards after t seconds is given by

s(t)=-16t^2+128t.

The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.

To get the value of t at the maximum height,

t = -b/2a

From the equation,

a = -16

b = 128

t = -128/-2×-16

= -128 /- 32= 4

it will take 4 seconds to reach its maximum height

To find maximum height attained, put t= 4 in the equation

s(t)=-16t^2+128t

S = -16× 4^2 + 128×4

S = -256+512

S = 256 feet

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4 years ago
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slamgirl [31]

Answer:

No sé pude simplificar ya que ambos no tiene divisores en común. Pero si lo deseas dividir daría como resultado: 2 ÷ 3 = 0.6666666667

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