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
strojnjashka [21]
2 years ago
14

Figure ABCD is similar to figure EFGH. What is the sequence of transformations that maps ABCD to EFGH?

Mathematics
1 answer:
sukhopar [10]2 years ago
8 0

Answer:

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Step-by-step explanation:

Translation before rotation:

.. translate down 5 units

.. rotate counterclockwise 90° about the origin

Translation after rotation:

.. rotate counterclockwise 90° about the origin

.. translate right 5 units

This can also be accomplished by a double reflection.

.. reflect across the line y=x

.. reflect across the line x=2.5

Or,

.. reflect across the line y=2.5

.. reflect across the line y=x

You might be interested in
If Jose has 10 cookies and he ate 5 how many cookies does he have left
MAVERICK [17]

Answer: five

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the distance from the point (1,4) to the line y = 1/3x - 3
Troyanec [42]

Answer:

Step-by-step explanation:

If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):

d=\sqrt{(1-x)^2+(4-y)^2}

but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:

d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 } and simplify:

d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }

. No we'll expand each binomial by squaring:

d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2)  }

.  Combining like terms gives us

d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50  }

The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is

\frac{20}{9}x-\frac{20}{3}

Setting equal to 0 and getting rid of the denominators gives us

20x - 60 = 0

Solving for x gives us

20x = 60 and x = 3.

That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:

d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50   }

which simplifies down, finally, to

x ≈ 6.325 units

8 0
2 years ago
The point P(-5,-8) is reflected across the x-axis to create point Q.
Ivahew [28]

Answer:

Answer: D. Q(5, −6) and R(−5, 6)

Step-by-step explanation:

3 0
3 years ago
Amelia needs to buy some cat food. At the nearest store, two bags of cat food cost $7.50. How much would Amelia spend on three b
adoni [48]

Answer:

♡Henlo friend~♡

2 bags of cat food is $5.50, multiply that by three and get six bags for $16.50♡

Therefore, the answer is $16.50.

Have a great day! ʕ •ᴥ•ʔ

~ Clara

✧・゚: *✧・ *:・゚✧*:・゚✧・゚: *✧・゚ *:・゚✧*:・゚✧✧・゚: *✧・ *:・゚✧*:・゚✧・゚: *✧・゚

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Two marbles are drawn from the bag.
kherson [118]

Answer:

It is the third option: (10C1) (20C1( / 50C2.

Step-by-step explanation:

The number of ways of selecting 2 marbles = the number of combination of any 2 marbles in the 50 marbles in the bag and this is 50C2. It is combinations because the order of drawing the marbles does not matter.

The number of combinations  of one being red and the other blue =  10C1 times 20C1.

So the answer is (10C1) (20C1( / 50C2.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Perimeter and area of a rectangle 11 cm by 19.3cm
    10·1 answer
  • Someone please help me it's worth five points ;))))
    6·1 answer
  • Which two temperatures have a sum of 0 degrees Celsius?
    11·1 answer
  • 5.According to the Bureau of Labor Statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with
    13·1 answer
  • Help.. ill give brainliest..
    8·1 answer
  • What is the distance between (1,4) and (4,0) ?
    8·1 answer
  • On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
    10·2 answers
  • What is the slope of the line represented by 5x - 12y = 24?<br> 
    8·1 answer
  • ezra uses his bank account to buy gasoline for his car 3 times. each time he buys gasoline, it costs $18.50
    5·1 answer
  • Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.4 ga
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!