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lyudmila [28]
2 years ago
13

Which transformations must be applied to object A to place it in the position of object B?

Mathematics
1 answer:
NeX [460]2 years ago
6 0

In order for object A to be placed in the position of object B, there needs to be a rotation and translation.

<h3>How would object A get to object B?</h3>

The first step would be to rotate object A to the left to give it the same orientation as object B.

Then, translate object A to the coordinates of object B. This would lead to object A fitting into object B.

Find out more on translation at brainly.com/question/1046778

#SPJ1

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3 years ago
The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s
sergejj [24]

Answer:

\large\boxed{AD=21\ and\ CD=2\sqrt{21}}

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem for calculate the length of CA:

CA^2+CB^2=AB^2

We have

CA=x,\ CB=10,\ AB=25

Substitute:

x^2+10^2=25^2

x^2+100=625             subtract 100 from both sides

x^2=525\to x=\sqrt{525}\\\\x=\sqrt{25\cdot21}\\\\x=\sqrt{25}\cdot\sqrt{21}\\\\x=5\sqrt{21}\ cm

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

\dfrac{AD}{AC}=\dfrac{AC}{AB}

We have:

AD=y,\ AC=5\sqrt{21},\ AB=25

Substitute:

\dfrac{y}{5\sqrt{21}}=\dfrac{5\sqrt{21}}{25}

\dfrac{y}{5\sqrt{21}}=\dfrac{\sqrt{21}}{5}              cross multiply

5y=5(\sqrt{21})^2            divide both sides by 5

y=21\ cm

If you mean the length of segment CD, then use the proportion:

\dfrac{CD}{AD}=\dfrac{CB}{CA}

Substitute:

\dfrac{CD}{21}=\dfrac{10}{5\sqrt{21}}\\\\\dfrac{CD}{21}=\dfrac{2}{\sqrt{21}}\qquad\text{cross multiply}\\\\CD\sqrt{21}=42\qquad\text{multiply both sides by}\ \sqrt{21}\\\\21CD=42\sqrt{21}\qquad\text{divide both sides by 21}\\\\CD=2\sqrt{21}\ cm

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Answer:

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Step-by-step explanation:

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3 years ago
The sum of two consecutive intergers is 139. Find the intergers
Elanso [62]

Let the Integer be x then its consecutive number will be x+1,

So, x+x+1=139,

2*x=138

x=69

The integers are 69,70

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3 years ago
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