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3 years ago

If the transformation was a rotation, tiffany can or cannot be certain the trapezoids are congruent?

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

5 0

Answer: Tiffany can be certain the trapezoids are congruent.

Step-by-step explanation: Two figures are congruent when their corresponding angles are equal and they have the same shape and size.

A figure can go thorugh 3 types of transformations:

Rotation: the figure is turned around a fixed point;
Reflection: is created by fliping over the figure over a line;
Translation: move the figure to another location, without changing its size;

As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.

When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.

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F(x)=x^2-2x+3 g(x)=x^2-2x-4 Find f(g(-2)

olga55 [171]

Answer:

$f(g(-2))=11$

Step-by-step explanation:

We are given the two functions:

$f(x)=x^2-2x+3\text{ and } g(x)=x^2-2x-4$

And we want to find:

$f(g(-2))$

We will find g(-2) first. So:

$g(-2)=(-2)^2-2(-2)-4=4+4-4=4$

Thus:

$f(g(-2))=f(4)$

Evaluate:

$f(4)=(4)^2-2(4)+3=16-8+3=11$

Therefore:

$f(g(-2))=11$

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Step-by-step explanation:

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3 years ago

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harkovskaia [24]

105 m = 2.5 h

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You cross multiply since it's a proportion:
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105 * 1

=

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3 years ago

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In the diagram, angle 1 = 4x + 30, and angle 3 = 2x +48.

iragen [17]

Answer:

Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.

Angle 1=Angle 3

4x+30=2x+48

2x+30=48

2x=18

x=9

Angle 1=4(9)+30

Angle 1=36+30

Angle 1=66

Angle 1=Angle 3

Angle 1+ Angle 3=132

360-132=228

228/2=114

Angle 2= 114

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3 years ago

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Olegator [25]

Answer:

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8-6.5= 1.5

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3 years ago