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ELEN [110]
1 year ago
13

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that

a dilation will produce similar figures? Explain.
Mathematics
2 answers:
worty [1.4K]1 year ago
8 0
A translation is a transformation that slides each point of a figure the same distance in the same direction. The lines connecting each point of the preimage to its image are congruent. One type of transformation that is not an isometry is called a dilation<span>.</span>
12345 [234]1 year ago
8 0

Answer:

Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor.

Step-by-step explanation:

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at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket co
Elanso [62]

Each ticket cost $3

8+5x=23

5x=15

x=3

3 0
1 year ago
Read 2 more answers
Can you simplify before multiplying 14×25/27​
castortr0y [4]

Answer:

No.

Step-by-step explanation:

You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.

Hope this helps!!!

Kyle.

5 0
1 year ago
To a survey of 290 newspaper reader, 181
astra-53 [7]

Question:

To a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 Read the Guardian 117 read punch and each reads at least one of the three papers if 75 read the Daily Times, and the Guardian, 60 read the Daily Times and punch, and 54 read the Guardian and punch : Draw a Venn diagram to illustrate this information How many readers read All three papers ,Exactly two of the papers The Guardian alone?

Answer:

39 read all three news papers,72 Exactly two Papers & 52 reads  Guardian Alone

Step-by-step explanation:

We have given, A survey of 290 newspaper readers.

Who read the Daily times A=181  

Who read the Guardian times B=142  

Who read the punch C=117

Who read Daily Times and the Guardian A\cap B= 75

Who read Daily Times and the punch A\cap C=60

Who read Guardian and punch B\cap C=54

To find :

How many readers read All three papers, Exactly two of the papers The Guardian alone?

Solution :

Readers read all three papers is A\cap B\cap C

Total survey is given by,

Total = A+B + C- A\cap B- A\cap C - B\cap C+ A\cap B\cap C

290 = 181 + 142 + 117 - 75 -60 - 54 +A\cap B\cap C

290 =251+A\cap B\cap C

290-251=A\cap B\cap C

A\cap B\cap C=39

So, number of readers who read all three papers is 39.

Exactly two of the papers = 36 + 21 + 15 = 72

Guardian Alone = 52

7 0
1 year ago
A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
tatuchka [14]

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

8 0
1 year ago
A mirror is made of two congruent parallelograms as shown in the diagram. The parallelograms have a combined area of 9 1/3 squar
Vika [28.1K]
Given:
2 parallelograms with an area of 9 1/3 yd²
height of each parallelogram is 1 1/3 yd

Area of parallelogram = base * height

We need to divide the combined area into two to get each parallelogram's base.

9 1/3 = ((9*3)+1)/3 = 28/3

28/3 ÷ 2 = 28/3 * 1/2 = 28/6 yd² or 4 4/6 yd² ⇒ 4 2/3 yd²

Area of each parallelogram is 4 2/3 yd²

4 2/3 yd² = base * 1 1/3 yd

14/3 yd² ÷ 4/3 yd = base

14/3 yd² x 3/4 yd = base
14*3 / 3*4 = base
42 / 12 = base
3 6/12 yd = base
or 3 1/2 yd = base

a) the base of each parallelogram is 3 1/2 yards
b) we can assume that the two parallelograms form a rectangle.
area of a rectangle is length times width.

length is 3 1/2 yds * 2 = 7 yds
width is 3 1/2 yds

Area of rectangle = 7 yds * 3 1/2 yds
Area = 7 yd * 7/2 yd
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²


8 0
1 year ago
Read 2 more answers
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