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Irina18 [472]
3 years ago
8

Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place?

A. a reflection across the line y = x followed by a reflection across the line y = -x B. a reflection across the x-axis followed by a reflection across the y-axis C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x D. a reflection across the y-axis followed by a reflection across the x-axis
Mathematics
2 answers:
Kamila [148]3 years ago
6 0

Answer:b

Step-by-step explanation:

IrinaVladis [17]3 years ago
3 0

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

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Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than M
victus00 [196]

Answer:

6 miles

Step-by-step explanation:

From the above question:

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles

The number of miles stan ran =

4 7/10 miles

We are also told that this number of miles was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran.

Let the number of miles Matt ran = m

Hence,

4 7/10 miles = m - 1 3/10

m = 4 7/10 + 1 3/10

m = (4 + 1) + ( 7/10 + 3/10)

m = 5 + (7 + 3/10)

m = 5 + (10/10)

m = 5 + 1

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Therefore, the number rod miles Matt ran was 6 miles

7 0
2 years ago
Find the 50th term sequence 5 , -2 , -9 , -16
Anni [7]
5 - 7 = - 2 ;
- 2 - 7 = - 9 ;
-9 - 7 = -16 ;
"common difference" d is - 7 ;
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7 0
3 years ago
Read 2 more answers
PLEASE HELP!!
aev [14]

Answer:

D. No, because P(A|B)=0.22 and the P(A) = 0.53 are not equal.

Step-by-step explanation:

Given:

Probability of doing yard work is, P(A)=53\%=0.53

Probability of raining, P(B)=68\%=0.68

Probability of doing yard work and it raining is, P(A\cap B)=15\%=0.15

Now, two events A and B are independent if,

P(A|B)=P(A);P(B|A)=P(B)

Conditional probability of event A given that B has occurred is given as:

P(A|B)=\frac{P(A\cap B}{P(B)}\\P(A|B)=\frac{0.15}{0.68}=0.22

So, P(A|B)=0.22\ and\ P(A)=0.53

Since, P(A|B)\ne P(A), A and B are not independent events.

8 0
3 years ago
Gordon types 1,800 words in 25 minutes. _______ words per minute
Scorpion4ik [409]
25 minutes = 1800 words
so 1 minute = 1800/25 = 72 words

answer: 72 words per minute
6 0
2 years ago
What is the area of Vivian’s garage door?
sergey [27]

The area  of Vivian’s garage door is 62.5 square feet

<h3>Area of composite shape.</h3>

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
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Area = 62.5 square feet

Hence the area  of Vivian’s garage door is 62.5 square feet

Learn more on composite shapes here: brainly.com/question/8370446

#SPJ1

3 0
1 year ago
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