1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
7

Michael rotates ABC to form the image A'B'C'. The table shows the corresponding vertices for ABC and AA'B'C'. What degree of rot

ation and direction did Michael rotate ABC to form AA'B'C'? ДАВС A (2,3) B(4,4) C(3,0) LA'B'C' A'(3,-2) B'(4,-4) C'(0, -3)​
Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

90 degree rotation in the clockwise direction.

Step-by-step explanation:

Point A transforms to A'

- that is x coordinate: 2 ---> 3

and y coordinate   3 ---> -2

So the rotation is clockwise from Quadrant1 to Quadrant 4.

The slope of OA = 3/2 and the slope of OA' = -2/3.

The product of these slopes = 3/2 * -2/3 = -1 so the lines are perpendicular - that is the line has passed through an angle of 90 degrees.

A similar result occurs if we consider points B, C and D.

You might be interested in
8 19. Marcus claims that fractions with denominators 1 through 10 follow a pattern
navik [9.2K]

Answer:

No

Step-by-step explanation:

Marcus is not correct because 1/12 converts to the repeating decimal 0.8333... but 3/12 converts to 0.25 which is not a repeating decimal.

5 0
2 years ago
What's the answer to this? and please explain.
vichka [17]
<h3>Answer: No, there isn't enough ribbon</h3>

===========================================================

Use this formula

a & b/c = (a*c+b)/c

to convert from a mixed number to an improper fraction

So,

a & b/c = (a*c+b)/c

3 & 3/4 = (3*4+3)/4

3 & 3/4 = 15/4

---------------------------------------------------

Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.

In this case, the LCD is 4*6 = 24

  • The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.
  • The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4

Now we can add the fractions:

90/24+20/24 = (90+20)/24 = 110/24

---------------------------------------------------

So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24

The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot

2/3 = 16/24 after multiplying top and bottom by 8

Add this to the result of the last section

110/24+16/24 = (110+16)/24 = 126/24

---------------------------------------------------

From here, we convert the improper fraction 126/24 to decimal form

Using a calculator, you should find that 126/24 = 5.25

The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.

---------------------------------------------------

The shortcut we can take is to type the following into the calculator

3+3/4+5/6+2/3

doing so should lead to 5.25

5 0
3 years ago
Read 2 more answers
Find an equivalent fraction with the lowest common denominator. <br> 9/10+2/3
mafiozo [28]

Answer: 1-17/30, or 47/30

Step-by-step explanation:

Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)

Your new fractions are 27/30 and 20/30. Now add the numerators.

27+20=47.

Your new fraction is 47/30.

Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.

8 0
3 years ago
Read 2 more answers
Nishi practiced violin for 3 1/2 hours in a 5-day period. How many minutes
Kitty [74]

Answer:

.7 min per day

Step-by-step explanation:

3.5 ÷5=0.7

0.7×5=3.5 or 3 1/2

6 0
3 years ago
Please help me it would mean a lot
emmasim [6.3K]

Answer:

44 degrees

Step-by-step explanation:

angle c = 90 degrees

angle a = 46 degrees

the measure of all sides on a triangle is 180

so to solve for the other side we can do this equation...

180 - (90 + 46) = 44

hope this helped, mark as brainliest pls

6 0
1 year ago
Other questions:
  • Let v = 25. what is the value of v - 5?
    7·2 answers
  • 2 is 1/10 of what number
    14·2 answers
  • Reduce the following fraction to lowest terms 49/105
    6·2 answers
  • The function f(x)= 1 divided by x is an example of an exponential function.<br> true<br> false
    8·1 answer
  • Match the simplified expressions
    13·1 answer
  • ANSWER AND SHOW WORK
    7·1 answer
  • Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
    14·1 answer
  • How to be good at math??? ​
    11·1 answer
  • Kelly runs a distance of 100 metres in a time of 10.52 seconds.
    15·1 answer
  • You rent an apartment that costs $1300 per month during the first year, but the rent
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!