50 POINTS PLEASE HELP Segment JK has endpoint J(2,4) and K(6,2). You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image in the x-axis. What is the midpoint of the final image?
A (2, -1.5)
B (-2, 1.5)
C (2, 1.5)
D (1.5, 2)

Answers

Answer 1

Answer:

C.

Step-by-step explanation:

Answer 2

The midpoint of the final image is  (2, 1.5).

What is the scale factor?

Scale Factor is used to scale shapes in different dimensions. In geometry, we learn about different geometrical shapes both two-dimension and three-dimension.

Segment JK has endpoints J(2,4) and K(6,2).

You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image on the x-axis.

The  co-ordinate of the final image is;

[tex]\rm J' = Scale \ factor (J) = \dfrac{1}{2} (2, \ 4) = (1, \ 2)\\\\K' = Scale \ factor (K) = \dfrac{1}{2} (6, \ 2) = (3, \ 1)\\[/tex]

The midpoint of the final image is;

[tex]\rm Midpoint \ of \ J'= \left (\dfrac{1+3}{2} \right )= \left (\dfrac{4}{2} \right )=2\\\\ Midpoint \ of \ K'= \left (\dfrac{2+1}{2} \right )= \left (\dfrac{3}{2} \right )=1.5[/tex]

Hence, the midpoint of the final image is  (2, 1.5).

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Related Questions

3(x) + 1 = 10

what’s the answer to this?

Answers

Answer:

x = 3

Step-by-step explanation:

10 - 1 = 9

9 divided by 3 equal 3

Hope this helps

can someone please help me
what is the lcm for 65 and 78?​

Answers

Answer: 390

Step-by-step explanation:

65 x 6 = 390

78 x 5 = 390

Solve four and two fifths plus two and two thirds.

Answers

Answer:

7 1/5

Step-by-step explanation:

First,  you make them into improper fractions, like 22/5 and 8/4. Then you find their LCD (least common denominator), which is 15. that makes it into 106/15, which is 7 1/5. Hope this helps!

The sum of the fractions [tex]4\frac{2}{5}[/tex] and [tex]2\frac{2}{3}[/tex] is [tex]7\frac{1}{15}[/tex].

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The given statement is a sum of two fractions [tex]4\frac{2}{5}[/tex] and [tex]2\frac{2}{3}[/tex].

Now, To get a common denominator we'll take the LCM of  5 and 3 which is 15.

= (22/5) + (8/3).

= {(22×3) + (8×5)}/15.

= (66 + 40)/15.

= 106/15.

= [tex]7\frac{1}{15}[/tex].

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10. Kibble-Yum dog food costs $3.70 per pound. If Jenna spent a total $20.35 before tax on
Kibble-Yum dog food, how many pounds of dog food did she buy?

Answers

Answer:

5.5 pounds

Step-by-step explanation:

20.35/3.70=5.5

Rewrite the addition of the groups as a multiplication of groups (-4) + (-4) + (-4) + (-4) + (-4) =

Answers

Answer:

5(-4)

Step-by-step explanation:

(-4) + (-4) + (-4) + (-4) + (-4) =

i need the answer asap

Answers

Answer:

1=3 2=1 3=4 42

Step-by-step explanation:

Need Help ASAP plz someone help I need to get this done

Answers

Answer:

91/80

i used a calculator to get the answer so i can't rlly explain it. simplified would be 1 11/80

Answer:

91/80 = 1 11/80

Step-by-step explanation:

5 1/18 ÷ 4 4/9 change the mixed fraction to improper one

91/18 ÷ 40/9 ( when divide fraction turn the division sign into multiplication and flip the second fraction( reciprocal))

91/18 × 9/40  simplify

91/2 × 1/40 = 91/80 = 1 11/80

help pls i’m out for quarantine and i do NOT know how to do these.. EVENS ONLY

Answers

yeah the only one I can tell you about is number 3 you need to subtract 107° from 360° then you need to figure out which angles X Y and Z is and divided

You are making a picture frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly . One angle needs to be (2x +23) and the other angle needs to be (3x +27). What is the measure of the larger angle?​

Answers

Answer:

Step-by-step explanation:

The measure of the ​angles are 51° and 39°.

What is a complementary angle?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given:

Two pieces of wood are cut to form complementary angles.

One angle needs to be (2x +23) and the other angle needs to be (3x +27).

We have to find the measure of the larger angle?.

According to given question we have

Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 23 ) + ( 3x + 27 ) = 90°

5x + 50° = 90°

5x=40°

x = 8°

Putting value of x in the angles given :

( 2x + 23 )° = 2(8°) + 23° = 39°.

( 3x +27 )° = 3(8°) +27° = 51°.

Therefore, the measure of the ​angles are 51° and 39°.

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If the restaurant bill is $21.60, and I want to leave a 15% tip for my waitress, how much money should I leave for the tip?

Answers

Answer:

$3.24

Step-by-step explanation:

Savannah and her roommates ate 1 2/5 pints of ice cream on Friday night and 2 1/2 pints of ice cream on Saturday night. How many pints did they eat in all? Simplify your answer and write it as a fraction or as a whole or mixed number.​

Answers

They ate 2 2/5 pints of ice cream. 1 2/5 + 1/2(2) = 2 2/5.

18.194 rounded to the hundreths

Answers

Answer:

18.94

Step-by-step explanation:

18.19

Because 4 is bellow 5 so you can’t round up

solve for(x-4)(x+4)=

Answers

Answer:

x^2-16

Step-by-step explanation:

x^2-4^2

x^2-16

difference of squares

la diferencia de la temperatura máxima de 23 y mínima de 12 ​

Answers

La temperatura del aire medida con un termómetro de máximo-mínimo se puede usar para mostrar la diferencia de temperatura durante un período de tiempo, generalmente un día. La diferencia entre el máximo diario y el mínimo diario se denomina rango diurno.

haga clic en las estrellas y haga clic en gracias

por favor responde esta pregunta

¿Por qué la línea es el rey de la jungla?

Solve 8w-3r=45 for r. Show your work.

Answers

Answer:

r = 8/3w − 15

Step-by-step explanation:

Let's solve for r.

8w−3r=45

Step 1: Add -8w to both sides.

−3r+8w+−8w=45+−8w

−3r=−8w+45

Step 2: Divide both sides by -3.

−3r/−3 = −8w+45/−3

SO,
b) What is the actual number of feet that is represented by 4 cm on a map?
2 cm
=
5 ft
I
Side 11

Answers

Well if 2cm = 5ft then 4cm = 10ft

6.7 = 9.7 -0.5x

How do I solve this?

Answers

Answer:

Simplifying x + 6.7 = -9.7 Reorder the terms:

6.7 + x = -9.7  Solving 6.7 + x = -9.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7' to each side of the equation.

6.7 + -6.7 + x = -9.7 + -6.7 Combine like terms: 6.7 + -6.7 = 0.0

0.0 + x = -9.7 + -6.7

x = -9.7 + -6.7 Combine like terms: -9.7 + -6.7 = -16.4

x = -16.4 Simplifying x = -16.4

Step-by-step explanation:

Hope this helps

Find the equivalent number. (will mark the brainliest and youĺl be loved)

Answers

Answer:

B. 9

Step-by-step explanation:

So when solving a question like this, you may try to find what 3⁴ is and what 3² is and divide, but there is a much easier way to do this. Remember:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

This can be used to find [tex]\frac{3^{4}}{3^{2}}[/tex] without finding what 3⁴ is. This is how we would do it:

[tex]\frac{3^{4}}{3^{2}}=3^{4-2}=3^{2}=9[/tex]

And now we get the solution, 9, which is answer choice B.

I hope you find my answer helpful.

Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript negative 9 Baseline Over 6 Superscript 6 Baseline EndFraction? StartFraction 1 Over 6 Superscript 42 Baseline EndFraction StartFraction 1 Over 6 Superscript 19 Baseline EndFraction 6 Superscript 6 6 Superscript 30

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2) Denise is 3 times as old as her daughter Emily. If the sum of their ages is 48. What is Denise's
age?

Answers

Answer:

36 years old

Step-by-step explanation:

48 divided by 4 equalls 12 (Emily's age)

12 times 3 equalls 36 (Denise's age)

Checking

36+12=48

HELP ME !!!
A.What is the slope of line b ?
B.What is the slope of line d?

Answers

Answer:

The slope to line a is 2,3

The slope to line b is 2,4

Step-by-step explanation:

Line b= -4/5 or -0.8
Line d= undefined

The sum of two consecutive odd numbers is 72 what are the numbers

Answers

Answer: 1st # n=35

2nd # n+2=37

Step-by-step explanation:

n= 1st #

n+2= 2nd #

n+n+2=72

2n+2=72 ( combine like terms)

2n+2-2=72-2

2n=70

2n/2=72/2

n=35

Answer:

Step-by-step explanation:

x + x + 2 = 72

2x = 70

x = 35

35 + 2 = 37

the height of an experimental plant after x days can be represented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height?Expain.

Answers

Answer:

no, the plants will not be the same height.

Step-by-step explanation:

if you distribute 3 into the parenthesis (4x+2) it will give you 12x+6. if you distribute the other equation, 6 into the parenthesis (2x+2) it will give you 12x+12.

Help Need answer to this problem 4 + (11- 3) to the power of 2

Answers

Answer:

the answer should be 68

Step-by-step explanation:

68

Let f(x) = x2 and g(x) = x - 6. What is fog?

Answers

Answer:

[tex]fog = x^2-12x +36[/tex]

Step-by-step explanation:

[tex]f(g(x)) = ( x - 6 )^2[/tex]

[tex](x-6)(x-6)[/tex]

The length of a rectangle is 3 cm less than twice the width. If the perimeter is 42 cm, what is the length of the rectangle?

Answers

Answer:

The length is 13

Step-by-step explanation:

w+w+l+l= perimeter

if the length is 3m less than twice the width then let's do some math.

42 divided 2 =21. so the width and length of one side have to equal 21. For example, let's use 8 as the width. The length would be twice(16) minus three(13) 13 plus 8 is 21. WOW it equals half of it so no we know the length is 13 and the wdith is 8.

when two or more plane shapes from another shape the shape formed is called​

Answers

Answer:

solid shapes

Step-by-step explanation:

solid shapes are formed from two or more plane shapes

When two or more plane shapes are combined, the shape formed is called a composite shape.

A composite shape is created by merging or overlapping different geometric figures. This can include combining polygons, such as triangles, rectangles, or circles, to form a more complex shape. The resulting composite shape retains the characteristics of its individual components but takes on a new form with unique properties and attributes.

Composite shapes can have irregular or regular outlines, and their areas and perimeters can be determined by calculating the sum of the areas and perimeters of the constituent shapes.

Therefore, when two or more plane shapes are combined, the shape formed is called a composite shape.

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3) In the park there were 12 boys playing soccer 5 girls playing jump rope • 3 boys playing basketball • 5 girls playing on the slides Identify a valid ratio below: A. for every 3 boys, there are 2 girls B. for every 2 boys, there are 3 girls C. for every 3 boys, there are 5 girls D. for every 12 boys there are 5 girls
Show work

Answers

Huhhhhhhhhhhhhhhhh89458

convert 0.888 into a fraction (the 8 is repeating)

Answers

Answer: 8/9

Step-by-step explanation:

0.8888888 = 8/9

2617 rounded to the nearest hundred

Answers

Answer:2600Step-by-step explanation:This is because you have to look at the in the hundred place. then look at the one to the right of it. If the number is more than 5 you will add 100 if not it will stay at 2600.Hope this helps, have a great day, stay safe, and positive!!:)

Answer:

2600

Step-by-step explanation:

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