Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′: Which statement best compares the lengths of the sides of the two figures? Length of AB = Length of C′D′ Length of CD = Length of A′B′ Length of CD = Length of B′C′ Length of AB = Length of A′B′

QUESTION POSTED AT 14/01/2020 - 03:07 PM

Answered by admin AT 14/01/2020 - 03:07 PM

Hello,
I suppose the picture of A is A', of B is B'.
|AB|=|A'B'|
Rotations keep the distances.

Post your answer

Related questions

If the altitude of an equilateral triangle is 10, what is the length of each side?

All the angles of an equilateral triangle measures 60 degrees. The altitude measuring 10 is a side of the right triangle opposite to the angle. The side of the equilateral triangle becomes the hypotenuse to the right triangle generated by drawing the altitude. To get the measure of the hypotenuse, multiply the altitude to the sine of 60 degrees. The operation gives an answer of 8.66. 

Thus, the length of each side of the equilateral triangle measures approximately 8.66 units. 

ANSWERED AT 21/01/2020 - 09:50 AM


QUESTION POSTED AT 21/01/2020 - 09:50 AM

Algebra 2 You and your friend Alex are looking to buy tickets for a big concert. You know that Ticket System charges $22 per person plus a $10 surcharge per transaction. You and Alex think you can get a better deal at Max Tickets, which charges $20 per ticket and surcharges $16 for each transaction. Or Ticket Meister, which charges $25 for a ticket and surcharges $4 per transaction, both of which are also selling tickets for the event. Pick one of these two sellers, and use your knowledge of linear systems to compare it with Ticket System and figure out who has the better deal.

To answer this problem, we convert the data given into linear equations. In this case,  for Max Tickets, the equation is 20 t +16; for Ticket Meister, the equation os 25 t + 4. The worth of two tickets and a transaction for Max Tickets is $20(2) + 16 = $56. For Ticket Meister, $25(2) + 4 = $54. Hence between the two, Ticket Meister should be chosen. Comparing to Ticket System which has $22(2) + 10 = $54, it is concluded that either Ticket Meister or Ticket system is practical to choose.

ANSWERED AT 21/01/2020 - 09:48 AM


QUESTION POSTED AT 21/01/2020 - 09:48 AM

Sonia rolls a six sided number cube 12 times and records of she rolls a 2. What is the number of trials for this binomial experiment?

Answer:

12

Step-by-step explanation:

Binomial expression: P(X=r) =^nC_r p^r q^{n-r}

Where n = No. of trials i.e. no. of times experiment occur

p= Probability of success

q= Probability of Failure

r= No. of success.

We are given that Sonia rolls a six sided number cube 12 times and records of she rolls a 2.

Since here the cube was rolled 12 times.

Thus n =12

So, No. of trials =12

Hence the number of trials for this binomial experiment is 12.

ANSWERED AT 21/01/2020 - 09:48 AM


QUESTION POSTED AT 21/01/2020 - 09:48 AM

The tables represent two linear functions in a system table one x -6, -3, 0, 3 y= -22, -10, 2, 14 table 2 x = -6, -3, 0, 3 y= -30, -21, -12, -3 what is the solution to this system? a) [-13/3 , -25] b) [-14/3, -54] c) (-13, 50) d) (-14, 54)

Answer: D. (-14, -54)
 WORKINGS
 According to Table 1: y = 4x + 2 … (Equation I)
According to Table 2: y = 3x – 12 … (Equation II)
 Substitute the value of y in equation I (4x + 2) for y in Equation II to solve for x
y = 3x – 12
4x + 2 = 3x – 12
4x – 3x = -12 – 2
x = -14
 Substitute -14 for x in Equation I to solve for y
y = 4x + 2
y = 4(-14) + 2
y = -56 + 2
y = -54
 Therefore, x= -14; y = -54

ANSWERED AT 21/01/2020 - 09:46 AM


QUESTION POSTED AT 21/01/2020 - 09:46 AM

Which statement describes the graph of f(x) = 4x2 + 20x + 25? A.The graph does not intersect the x-axis B.The graph touches the x-axis at (–2.5, 0). C.The graph intersects the x-axis at (–0.4, 0) and (0.4, 0). D.The graph intersects the x-axis at (2, 0) and (5, 0).

To determine the nature of the graph and on what points will it intersect the x - axis, determine the roots of the graph first. One way to find the roots is to use the quadratic formula, x = (-b +/- sqrt(b^2 - 4ac))/ 2a. Using this formula we get, x = -2.5. Thus, the answer is letter B. 

ANSWERED AT 21/01/2020 - 09:43 AM


QUESTION POSTED AT 21/01/2020 - 09:43 AM

Find the constant of variation for the relationship shown in the following table: x 1 2 3 4 y 4 8 12 16 A. 1 B. 2 C. 3 D. 4

The correct answer is 4
It increases by 4 each time

ANSWERED AT 21/01/2020 - 09:41 AM


QUESTION POSTED AT 21/01/2020 - 09:41 AM

In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2? a)AF:AE b)BC:EF c)EF:AH d)AH:EF e)AH:AD

Answer:

As given Point A is the center of the circle.

We will answer this question by considering all the options.

Option 1. FA : AE    [ Both FA and EA are radius of circle .So their ratio can't be equal to 1:2.]

Option 2. CB : FE  [ CB is a chord and FE is a Diameter  as length of Chord not given, So we can't Predict about their Ratio.]

Option 3: FE : AH  [As FE is the Diameter and AH is radius.Diameter = 2 × Radius,So FE : AH=2:1]

Option 4 : AH : FE  [Explained above AH: FE=1:2]

Option 5:  AH : AD  [AH is the radius of the circle and D is any point on AH So their ratio can't be 1:2.]

Option (d) AH : FE = Radius : Diameter=1:2 is true.


ANSWERED AT 21/01/2020 - 09:40 AM


QUESTION POSTED AT 21/01/2020 - 09:40 AM

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true? a. m∠A = 15° and m∠C = 35° b. m∠A + m∠B = 155° c. m∠A + m∠C = 60° d. m∠A = 20° and m∠C = 30°

The only choice that doesn't imply something absurd is 'b' .
____________________________________________

OK.  I didn't want to have to do this, but it seems to be necessary:

-- We have an isosceles triangle.
Two sides are equal and the third one is different.
That means that two angles are equal and the third one is different.

-- All 3 angles in a triangle always add up to 180°
One angle is 130°.  If that one were one of the two equal angles,
then just those two would add up to 260° even without the 3rd angle.
So the 130° angle must be the one that's different.

-- The other two angles add up to (180 - 130) = 50°.
And they're the ones that are equal.
So  <A  and  <C  are each  25° .

-- Choice-a).  <A=15° and <C=35°.  No.  Then the triangle wouldn't have
                                                             two equal angles.

-- Choice-b).  <A + <B = 155°.  Yes.  Given <B=130, and we calculated <A=25°.

-- Choice-c).  <A+<C = 60° .  No.  They're each 25°.
                                                   If they were each 60°, then the total
                                                   for the triangle would be (130+60+60) = 250° .

-- Choice-d).  <A20=20° and <C=30°.  No.  Then the triangle wouldn't have
                                                                  two equal angles.

ANSWERED AT 21/01/2020 - 09:39 AM


QUESTION POSTED AT 21/01/2020 - 09:39 AM

Show and explain the theoretical probability of a player WINNING your probability game. for a spinner that has 8 sides (1-8) rules for the game so u know how to answer my question : Using a spinner and a coin. 2 players can play this game. So, the first person can spin the spinner and see where it lands on. The second person can start flipping the coin while the spinner is spinning, also see what sides it could land on ( HEADS or TAILS ). If the coin lands on heads, player 1 has a chance to gain or lose points in the round. If the coin lands on tails, player 2 has a chance. The player in focus then has 2 choices; they can flip the coin a second time or spin the spinner a second time. If they choose to flip a coin, they have to predict whether they think the coin will land on heads or tails. If they are correct, they gain the number of points showing on the spinner. If they are wrong, they lose that number of points. If they choose to re-spin the spinner, their goal is to beat the score of the first spin. If they do, they gain the difference in the points (for example: spin 1 lands on 2, spin 2 lands on 5; 5-2 = 3 points). If they spin a lower number, they lose the difference in points (example: spin 1 gets a 3, spin 2 gets a 1; 3-1 = 2 points lost) *If the spinner happens to land on the exact same number, the opponent gets 5 points. The first player to earn 40-points wins! BEST OF LUCK and have FUN !!! ^_~ !!!

You have a 1/2 chance of winning points on the flipping of the coin and a 36/64 chance of winning on the spinner. I got the coin because there's a half chance of guessing the side right and I got the spinner by drawing a two-way diagram.

ANSWERED AT 21/01/2020 - 09:39 AM


QUESTION POSTED AT 21/01/2020 - 09:39 AM

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? f(x) = 4x − 1 x g(x) 1 3 4 6 7 9 answers: AThe function f(x) has a higher y-intercept. B The function g(x) has a higher y-intercept. CThey both have the same y-intercept. D The relationship between y-intercepts cannot be determined.

we know that

The y-intercept is the value of the function when the value of x is equal to zero

Step 1

Find the y-intercept of f(x)

f(x)=4x-1

for x=0

f(0)=4*0-1

f(0)=-1

the y-intercept of f(x) is equal to -1

Step 2

Find the equation of the line g(x)

Let

A(1,3)\\B(4,6)\\C(7,9)

Find the slope AB

the slope m is equal to

m=\frac{(y2-y1)}{(x2-x1)}

substitute the values

m=\frac{(6-3)}{(4-1)}

m=1

with the slope and the point A find the equation of the line

y-y1=m(x-x1)

y-3=1*(x-1)

y=x-1+3

y=x+2

therefore

the function g(x) is equal to

g(x)=x+2

Step 3

Find the y-intercept of g(x)

g(x)=x+2

for x=0

g(0)=0+2

g(0)=2

the y-intercept of g(x) is equal to 2

therefore

the answer is the option

B The function g(x) has a higher y-intercept.

ANSWERED AT 21/01/2020 - 09:39 AM


QUESTION POSTED AT 21/01/2020 - 09:39 AM

What is the value of 5p5 A. 5 B. 25 C. 120 D. 125

i just did the test and the answer was 120 trust me

ANSWERED AT 21/01/2020 - 09:38 AM


QUESTION POSTED AT 21/01/2020 - 09:38 AM

Which best describes the dimensions of a plane a.A plane has zero dimensions because it represents a location on the coordinate plane. b.A plane has one dimension because it is made up of an infinite number of points. c.A plane has two dimensions because it is a flat surface that has length and width but no depth. d.A plane has three dimensions because it is made up of exactly three noncollinear points.

Wellll, hold up there for just a second. 

"A plane" is infinite.  Whatever direction you pick in "a plane",
the plane keeps going in that direction forever and never ends.
So "a plane" has NO dimensions.

Any PART of "a plane" has TWO dimensions, because any PART
of it that you pick occupies some length and some width.

A better way to say it is like this:

If you stick a nail into the plane at one point, THEN, to describe ANY
OTHER point in the plane relative to the nail, you need TWO NUMBERS.

THAT's why a line has one dimension, a plane has two, and a solid has
three dimensions ... it's how many numbers you need if you want to
send somebody to another point from where you're sitting.

ANSWERED AT 21/01/2020 - 09:37 AM


QUESTION POSTED AT 21/01/2020 - 09:37 AM

Which of the following shows why the commutative property doesn't work under subtraction? A. 5 – 1 ≠ 1 – 5 B. 5 – 1 ≠ 5 – 1 C. 3 + 2 ≠ 2 + 3 D. 5 + 1 = 7 – 1 And if you could please explain how you get the answer.

Answer:

option (a) shows that the commutative property do not holds under subtraction.

(a) 5 – 1 ≠ 1 – 5

Step-by-step explanation:

Given : Some options showing operation subtraction.

We have to choose out of given options which one shows that the commutative property doesn't work under subtraction.

Commutative property under addition states that for given any two positive numbers and b then following property holds a=b=b+a that is it is irrespective of place the numbers are arranged like 2 + 3 = 3+ 2

but when we subtract two number the order or place of number matters.

Like 3 - 2 = 1 but 2 - 3 = -1 ≠ 1

Thus, the commutative property do not holds under subtraction.

5 – 1 = -4 ≠ 1 – 5 = -4

So, option (a) shows that the commutative property do not holds under subtraction.

ANSWERED AT 21/01/2020 - 09:34 AM


QUESTION POSTED AT 21/01/2020 - 09:34 AM

Erica purchased adult and youth tickets for a movie. She bought x adult tickets for $7 each and y youth tickets for $5. Write an expression that can be used to show the total cost, C, of all tickets. A. C = 7x + 5y B. C = (7 + 5)x C. C = (7 + 5)(x + y) D. C = 7y + 5x

Answer:  A  

Step-by-step explanation: I got my answer from peesneez and I also got a 100 on the test so, Thanks Peesneez!

ANSWERED AT 21/01/2020 - 09:33 AM


QUESTION POSTED AT 21/01/2020 - 09:33 AM

Given that MNOP is a rectangle, find x and y. A. x = 100, y= 81 B. x = 50, y = 27 C. x = 55, y = 27 D. not enough information

Answer:

B. x=50, y=27

Step-by-step explanation:

Since we know that MNOP is a rectangle we also know that each angle equals 90°.

So now we do

2x-10=90           3y+9=90

+10     +10                -9   -9

2x=100                    3y=81

/2      /2                     /3  /3

x=50                          y=27

ANSWERED AT 21/01/2020 - 09:33 AM


QUESTION POSTED AT 21/01/2020 - 09:33 AM

What else would need to be congruent to show that ABC DEF by ASA? A. bc ef B. C F C. ac df D. A D

Definition: Two triangles are congruent if their corresponding sides are equal in length, in which case their corresponding angles are equal in measure.
ASA Postulate: If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
To show that ΔABC is conguent to ΔDEF by ASA you have:

1. m\angle B=m\angle E=50^{\circ};
2. AB=DE=10
and you should have the measure equality of second pair of angles, adjacent to the corresponding sides AB and DE:
3. m\angle A=m\angle D.

Answer: correct choice is D.


ANSWERED AT 21/01/2020 - 09:33 AM


QUESTION POSTED AT 21/01/2020 - 09:33 AM

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be A) less than 90°. B) greater than 90°. C) congruent to angle B. D) congruent to angle C.

We have to find the correct statement for angle A in a triangle ABC, which is an obtuse triangle. We know that angle B is obtuse ( greater than 90 degrees ). Therefore angles A and C must be less than 90 degrees. Angle A can not be congruent to angle B ( angle B > angle A ). It can be congruent to angle C but just in case that ABC is an isosceles obtuse triangle. Answer: Angle A must be A ) less than 90 degrees.

ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

Simplify the expression (6x^3/3x^4)^2 A. 12x^5/6x^6 B. 4/x^2 C. 2x^6/x^8 D. 2/x

The Answer is B.
Sol: (6/3x^(3-4))^2
= (2/x)^2
=4/x^2


ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

Which are the possible side lengths of a triangle a. 3 cm, 5 cm, 9 cm b. 4 cm, 8 cm, 10 cm c. 6 cm, 9 cm, 17 cm d. 8 cm, 10 cm, 18 cm

Possible side lengths of a triangle are determined by the triangle inequality:
a+b>c
where a and b are the shorter sides, (i.e. c is the longest side).
Note that equality does not hold, because it will make a "triangle" with an angle equal to zero degrees.

An example, choice a, 3+5<9, so they are not possible side lengths.

EDITED 2018-02-26
As already indicated in comments, (4, 8, 10) is a feasible set of sides for triangles because the shorter sides are 4 and 8, and the sum (12) is greater than the third side (10).

ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

. Complete the following equation using <, >, or = 7 ___24∕4 A. = B. > C.

The answer Should be B

ANSWERED AT 21/01/2020 - 09:31 AM


QUESTION POSTED AT 21/01/2020 - 09:31 AM

Write a conditional statement from the following statement: A horse has 4 legs.

Example:
A spider has 8 legs.
as conditional statement is
If it's a spider, it has 8 legs.

ANSWERED AT 21/01/2020 - 09:31 AM


QUESTION POSTED AT 21/01/2020 - 09:31 AM