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Gnesinka [82]
3 years ago
6

Which type of transformation creates an image not congruent to the original shape

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

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In a survey, 672 adults were asked what television programs they had recently watched. The following information was obtained: 2
OlgaM077 [116]

Answer:

a. the Big Game = 263

b. the Big Game but not the New Movie = 159

c. at least one program = 446

d. both programs = 104.

Step-by-step explanation:

Given that:

Total adults asked about TV programs, n(U) = 672

Total adults who watch New Movie, n(A) = 287

Let n(B) be the number of adults who watch Big Game.

Total adults who watch New Movie but not Big Game, n(A-B) = 183

As per formula:

n(A-B) = n(A) - n(A \cap B)

Where n(A \cap B) is the number of adults who watch New Movie and Big Game both.

n(A \cap B) = n(A) - n(A-B)

n(A \cap B) = 287 - 183 = 104

<u>Formula:</u>

n(U) = n(A \cup B) + n(A \cup B)'

n(A \cup B) is the number of adults who watch at least one program.

n(A \cup B)' is the number of adults who do not watch any program.

Given that n(A \cup B)' = 226

Putting values in the above formula:

672 = n(A \cup B) + 226

n(A \cup B) = 672 - 226 = 446

<u>Formula:</u>

n(A \cup B) = n(A) + n(B) - n(A \cap B)

446 = 287 + n(B) - 104

n(B) = 446 + 104 - 287

n(B) = 263

The number of adults who watch the Big Game but not the New Movie, <em>n(B - A)</em>

<u>Formula:</u>

n(B - A) = n(B) - n(A \cap B)

n(B - A) = 263 - 104 = 159

So, the number of surveyed adults who watch:

a. the Big Game, n(A) = 263

b. the Big Game but not the New Movie, n(B - A) = 159

c. at least one program, n(A \cup B) = 446

d. both programs, n(A \cap B) = 104.

6 0
3 years ago
Find the lengths of the sides of the triangle if the vertices of EFG are E(-2,-3), F(-2,2) and G(3,2). Find the lengths of FG
krek1111 [17]

Answer:

FG=5

Step-by-step explanation:

Use distance formula FG=√(3+2)² +(2-2)²=√25=5

3 0
3 years ago
Simplify (x⁴)³. <br><br><br> pls help
Alex_Xolod [135]

Answer:

x^{12}

Step-by-step explanation:

Step 1: Equation

(x^{4})^3

Step 2: Exponent Property: Power of a Power

x^4×3 = x^{12}

Answer:

x^{12}

Hope This Helps :)

5 0
3 years ago
Read 2 more answers
Use the distributive property to simplify the following expression 4x(2x-6)
Drupady [299]
4x (2x - 6)

8x - 24x 

= -16x

3 0
3 years ago
Plsss help meee 45 points plus brainliest
romanna [79]

<em>Hello There!!</em>

Let us call X the equal distances GH = HI = IJ

GH = X

HI = X

IJ = X

Note that HJ = HI + IJ, so

HJ = X + X

10 = 2X

X = 5

Well, We're looking at figure we can conclude that:

GJ + JK = GK

GJ = GH + HI + IJ

GJ = 15

GJ + JK = GK

15 + JK = 24

JK = 9

GH = X = 5

HI = X = 5

IJ = X = 5

JK = 9

HopeThisHelpsYou!

_{Losersbrazts}

5 0
3 years ago
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