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Alexxandr [17]
3 years ago
11

In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?

Mathematics
2 answers:
katrin [286]3 years ago
7 0
So,

A translation is a transformation in which the figure is simply moved across space; the preimage is congruent to the image.

We are told that the y-coordinate of the preimage increase by 8.  We know that the y-coordinates have to do with vertical movement on a coordinate plane.  Since the y-coordinates increased by 8, the preimage was moved up 8 units.

The correct option is A.
Mice21 [21]3 years ago
3 0
Y coordinates control up and down

increase by 8 means go up by 8


8 units up
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The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

  • The side XY is opposite to angle Z
  • The side YZ is opposite to angle X
  • The side XZ is opposite to angle Y
  • The sine rule is \frac{XY}{sin(Z)}=\frac{YZ}{sin(X)}=\frac{XZ}{sin(Y)}

In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵  \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∴ \frac{6}{sin(30)}=\frac{BC}{sin(60)}

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = \frac{1}{2}  and sin(60) = \frac{\sqrt{3}}{2}

∴ \frac{1}{2} BC = 6( \frac{\sqrt{3}}{2} )

∴ \frac{1}{2} BC = 3\sqrt{3}

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

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To solve this problem you have to do 14.99 x 7 + 58 (starting fee)

the answer should come out to $162.93

Hope this helps :)

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Answer:

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Step-by-step explanation:

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