Triangle UVW is dilated with a scale factor of 1∕3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U′V′W′? answers: A) U′ (0, 1), V′ (2, 2), W′ (2, 0) B) U′ (0, 2), V′ (3, 3), W′ (4, 0) C) U′ (0, 1), V′ (3, 3), W′ (2, 0) D) U′ (0, 9), V′ (18, 18), W′ (18, 0)

Answers

Answer 1

Answer:

A) U′ (0, 1), V′ (2, 2), W′ (2, 0)

Step-by-step explanation:

The coordinate plane showing Triangle UVW is found online and attached below.

From the graph, the coordinates of the vertices of the triangle are:

U(0,3), V(6,6) and W(6,0)

When you dilate a point (x,y) with a scale factor of 1/3, you obtain: [tex]\left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex]

Therefore, applying the dilation [tex](x,y) \rightarrow \left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex], we have:

[tex]U(0,3) \rightarrow U'(\frac{0}{3} ,\frac{3}{3})=U'(0 ,1)\\\\V(6,6) \rightarrow V'(\frac{6}{3} ,\frac{6}{3})=V'(2 ,2)\\\\W(6,0) \rightarrow W'(\frac{6}{3} ,\frac{0}{3})=W'(2 ,0)[/tex]

The coordinates of the resulting triangle U′V′W′ are:

U′ (0, 1), V′ (2, 2), W′ (2, 0)

The correct option is A.

Triangle UVW Is Dilated With A Scale Factor Of 13 With The Center Of Dilation At The Origin. What Are
Answer 2

Answer:

this is what came with the question in my exam , but i dont

know the answer and i couldn't comment the picture so can someone help?

Triangle UVW Is Dilated With A Scale Factor Of 13 With The Center Of Dilation At The Origin. What Are

Related Questions

Jonathan has 2/3 of a pound of bird seed left to share equally among 6 bird cages in his pet shop. How many pounds can he put in each bird cage.

Answers

Answer: 4 scoops

Step-by-step explanation:

2/3 % 1/6 = 4 scoops

Answer:

1/9 pounds

Step-by-step explanation:

2/3 divide by 6

flip the 6 when dividing and then change division sign to multiplication

2/3 (1/6)

[tex] \frac{2}{3} \times \frac{1}{6} [/tex]

then multiply and simplify 2/18

Find the distance d(A,B) between points A and B
A(2.-6), B(2.1)
d(A,B) =

Answers

Answer:

d = 7

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]

Plug in our 2 coordinates:

[tex]d = \sqrt{(2-2)^2+(1+6)^2}[/tex]

And you should get 7 as your final answer.

Answer:

7 units

Step-by-step explanation:

Since the x coordinates are the same, we only have to look at the difference between the y coordinates to determine the distance

1 - -6 = distance

1+6 = 7

The distance is 7 units

What's the answerrrrr?

Answers

Answer:

A. Positive

Step-by-step explanation:

Since 48 is way larger than 39, we know that if we subtract 39 from 48, we will still get a positive number.

Answer:

A. Positive

Step-by-step explanation:

Im not very good at explaining. I hope I helped :)

Solve the equation 2(5x-4)=ax+b

Infinite solution
One solution
No solution?

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

Since we don't have the values of a and b, a and b can be any number. If they can be any number, then our answer has to be infinite solutions, as our answer can vary between different values.

Infinite solution.
since you don’t know what a and b are there could be many solutions

You are miguel Cervantes de Navas y colon, captain in the royal spanish army in Sevilla in the year 1842. Outside your barracks window is a stack of cannonballs, as shown in the illusion. On an idle afternoon you dicide to calculate the number of cannonballs in the stack. What is the number of cannonballs? A. 650 B. 506 C. 623 D. 571

Answers

Answer:

650

Step-by-step explanation:

1st row has 1 ball

2nd row has 4 balls

3rd row has 9 balls

4th row has 16 balls

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

5th row has 25 balls

6th row has 36 balls

7th row has 49 balls

8th row has 64 balls

9th row has 81 balls

10th row has 100 balls

11th row has 121 balls

12th row has 144 balls

If we add up all those, we get total number of balls

please mark me brainliest!

23 more than the product of 7 and a number

Answers

Answer:

7x + 23

Step-by-step explanation:

Remember BPEMDAS.

Product of 7 and a number means 7 times a variable: 7x

23 more than part means 23 + whatever we just did, so:

7x + 23

Answer:

23+7x

Step-by-step explanation:

23 + (7 * x)

23+7x

How many students all together?

Answers

Answer:

from the top of my head if I read the bars right I think its 98 but I could really see the bars

Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15= 102

When solving the following system of equations, which variable would be the easiest to solve for?

Answers

Answer:

the y is the second equation.

Answer:

The y in the second equation

Step-by-step explanation:

hope this helps

Use the diagram at the right to answer questions 22–27.
Find the measure of each angle.
22. DBC
23. ADC
24. BCD
25. DCE
26. BCF
27. ECF

Answers

22. 30 degrees because line DB bisects(meaning cuts in half) angle ABC so DBC should be 30 degrees because 30+30 is 60 which is what angle ABC is.

23. 60 degrees because if we assume that it is a parallelogramand that the opposite angle are congruent.

24. 120 degrees because a quadrilatteral has sides that will equal to 360 degrees, and I said that a parallelogram will have its opposite angles congruent we take away 120 from 360 (from the previous angles ABC and BCD) we end up with 240, we divide 240 by 2 and end up with 120 degrees

25. 60 degrees. I found that angle DCB is 120 degrees so angles DCB and DCE are supplementary(add up to 180 degrees) and we subtract 120 from 180 which is 60 degrees.

26. 60 degrees vertical to angle DCE.

27. 120 degrees supplementary to DCE

Olivia has $150 in her savings account. She will save and deposit $40 each week. What inequality show how many weeks it will take her to have at least $400 in her account?

Answers

Answer:

40x+150>=400 i think

Step-by-step explanation:

40x+150>=400

40x>=250

x=6.25

5 mL =____gtt
A. 75
B. 100
C. 50
D. 25

Answers

Answer:

Answer:

b. 100

Step-by-step explanation:

Name the similar triangles. ΔABC ~ ΔDEF ΔABC ~ ΔEDF ΔABC ~ ΔDFE ΔABC ~ ΔFED

Answers

Answer:

Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.

Answer:

option 2

Step-by-step explanation:

25. Simplify the following expression.


Question 25 please

Answers

I hope this helps you

Answer:

3  -√5

Step-by-step explanation:

(√5 + 1) / (2 + √5)

Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is  2 - √5.

By doing this we rationalise the denominator:

= (√5 + 1 ) *  ( 2 - √5) /  (2 + √5)(2 - √5)

= (√5 + 1 ) *  ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)

= (2√5 - 5 + 2 - √5) / (4 - 5)

= (√5 - 3) / -1

= 3  -√5


Estimate the difference of 10 2/3-6 9/11
6
3
06
4

Answers

Answer:

5

Step-by-step explanation:

If you calculate it it will be 4 28/33 which is closer to 5

Your answer should be 5

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.

Answers

Answer:

The density of the material must be at least 1.5 g/cm³.

Step-by-step explanation:

PLEASE HELP ASAP Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for a total of $6.75, and 4 pieces of crab for $8.00. Which list shows the unit cost of each pieces of sushi from least to greatest? A. squid, crab, tuna, eel B. eel, squid, tuna, crab C. squid, eel, crab, tuna D. eel, tuna, crab, squid

Answers

Answer:

I do not have enough time to put them in order if you don't mind but i can list the prices.

Step-by-step explanation:

each piece of squid is 1.25

each piece of tuna is 3.25

each piece of crab is 2.00

hope this helps <3

Answer:

A

Step-by-step explanation:

Determine the total number of roots for each polynomial function.

g(x) = 5x - 12/2 + 3

Answers

g(x) = (x - 5)^2 + 2x^3

At the root this function is equal to 0

(x - 5)^2 + 2x^3= 0

Rearrange:

(x - 5)^2 = -2x^3

Now if you plot these two functions you need to check how many times they intersect. For this you do not need to be precise just scetch approximately.

If you do that, you will see that they meet once. I cannot really use this site to plot, but you can use other tools for that if you do not know how to do it.

Hey guys please help find the area

Answers

Answer:

70.15 ft²

Step-by-step explanation:

The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).

If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.

The formula for the area of a triangle is (1/2)(base)(height).  Remembering to multiply this by 2, we get

area of figure = (base)(height)

                                             √3

                       = (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²

                                               2

Which of the following is the correct scientific notation for 0.00566 meters?

A. 566 x 10-5 m
B. .566 x 10-3 m
C. 5.66 x 10-3 m
D. 5.66 x 103 m

Answers

Im going to say the answer is C

Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.

Answers

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

Simplify (*x* +2x? - 5x)+(-3x + x +1)+(3+* + 2x).
A. 3x + 2x* - 3x2 – 3x² +1
B 4x*- 3x + x2 + 4x +2
C. 4x4 - 3x + 3x² + 4x +2
D. 4x*- 3x + 3x? - 3x + 1

Answers

Answer:

D

Step-by-step explanation:

4x^4+3x^2-3x^3-3x+1

Your answer should be D

Help please....Thanks

Answers

Answer:

16 x 66 = 1056mm^2

Step-by-step explanation:

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y-2x = -2
y- x = 1
A. More than 1 solution
B. x = 4, y = 3
C. No solution
O D. x = 3, y = 4

Answers

Answer:a x=3 y=-4

Step-by-step explanation:

Last year, a local amusement park recieved 286, 758 visitors. It was open everyday of the year except 7 holidays. What was the average number of visitors to the park per day? a. 786 visitors b. 801 visitors c. 957 visitors d. 1,204 visitors Please include the work!

Answers

Answer:

c

Step-by-step explanation:

i took this test yesterday

i promise its right

Answer:

B

Step-by-step explanation:

Last year local amusement park received 286758 visitors.

Park was open for every day except 7 holidays means park was open for (365 - 7) = 358 days

Now average numbers of visitors per day =

                                                                    =

                                                                    = 801

Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 13 inches, side 14 inches, and blank hypotenuse.
a.
91 in.
b.
46.1 in.
c.
19.1 in.
d.
182 in

Answers

Answer:19.1

Step-by-step explanation:

Answer:

B. 46.1 in

Step-by-step explanation:

First, we must find the hypotenuse of the triangle.

Since this is a right triangle, we can use Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.

13^2+14^2=x^2

Evaluate each exponent.

13^2=13*13=169

14^2=14*14=196

169+196=x^2

Add 169 and 96

365=x^2

Take the square root of both sides.

√365=√x^2

√365=x

19.1049732=x

Round to the nearest tenth.

19.1=x

The hypotenuse is 19.1 inches

Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)

13 in +14 in +19.1 in

46.1 in

The perimeter is 46.1 inches and B is correct.

20 points + brainliest, give explanation

Answers

Answer:

The answer is 72 degrees Z is also 180 by the way

Step-by-step explanation:

A straight line is 180 so subtract 108 and you will get the angle 72 degrees

Answer:

Step-by-step explanation:

Since Angle BCD is parallel to EDC, it means they both equal 108 degree. So x = 108

the supplementary angle for 108 is 72 degree, which means Angle c = Angle y, so angle y = 72 degrees.

all angles in a triangle = 360, so use the formula to find out what angle z is

360 = 72 + 72 + z

360 = 144 + z

360 - 144 = z

216 = z

The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches? 550 950 2,800 3,950 5,600

Answers

Answer:

correct answer is 2800.

Step-by-step explanation:

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There is 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800

Answer:

Step-by-step explanation:

550

Construction crews A,B,C and D build a 1200 meter long road. Team A builds 1/2 of the total length built by the other 3 teams. Team B builds 1/3 of the total length built by the other 3 teams. C builds a section that is 1/4 of the length built by the other teams. How many meters did Team D build

Answers

Answer:

260 meters.

Step-by-step explanation:

It is given that construction crews A,B,C and D build a 1200 meter long road.

[tex]A+B+C+D=1200[/tex]     ...(1)

Team A builds 1/2 of the total length built by the other 3 teams. So,

[tex]A:(B+C+D)=1:2[/tex]

It means total distance divided in 1:2.

[tex]A=1200\times \dfrac{1}{1+2}=1200\times \dfrac{1}{3}=400[/tex]

Similarly,

Team B builds 1/3 of the total length built by the other 3 teams.

[tex]B:(A+C+D)=1:3[/tex]

It means total distance divided in 1:3.

[tex]B=1200\times \dfrac{1}{4}=300[/tex]

C builds a section that is 1/4 of the length built by the other teams.

[tex]C:(A+B+D)=1:4[/tex]

It means total distance divided in 1:4.

[tex]C=1200\times \dfrac{1}{5}=240[/tex]

Now, put A=400, B=300 and C=240 in (1).

[tex]400+300+240+D=1200[/tex]

[tex]D=1200-940[/tex]

[tex]D=260[/tex]

Therefore, 260 meters build by D.

HELP ASAP Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?

Answers

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

Answer:

The answer is 252

Step-by-step explanation:

In the circle below, suppose m FEH=272º and m EFG=116º. Find the following.​

Answers

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

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