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Mkey [24]
3 years ago
6

If the image of a triangle is congruent to the pre-image, what is the scale factor of the dilation

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

1.

Step-by-step explanation:

Scale factor  is 1 because the triangle and image are congruent ( same shape and size).

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Solve on the interval [0,2pi): 2cscx+5=1
pantera1 [17]

x\in[0,\ 2\pi)\\\\2\csc x+5=1\ \ \ \ |-5\\\\2\csc x=-4\ \ \ \ |:2\\\\\csc x=-2\\\\\dfrac{1}{\sin x}=-2\to\sin x=-\dfrac{1}{2}\to x=-\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{7\pi}{6}+2k\pi\\\\x\in[0,\ 2\pi)\to x=-\dfrac{\pi}{6}+2\pi=\dfrac{11\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\\\\Answer:\ \boxed{D.\ \dfrac{7\pi}{6},\ \dfrac{11\pi}{6}}}

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The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers? 17
ioda

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3 years ago
The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.
mestny [16]

Answer:

4

Step-by-step explanation:

B = (6,5)              C = (6,9)

√(x2 - x1)² + (y2 - y1)²

√(6 - 6)² + (9 - 5)²

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3 0
2 years ago
Expon
Tema [17]

A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.

<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
  • Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.

For example, √128, √16

  • Like radicals: Radicals that have the same root number and radicand (expression under the root)

For example, 2√x and 5√x are like terms.

Here in the question radical expressions are given,

  • 5∛2x
  • -4x∛2
  • 5√2x
  • -3∛2x
  • 5x√2x

By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.

Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.

Learn more about radicals here:

brainly.com/question/16181471  

#SPJ9

3 0
1 year ago
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