A polygon will be dislates on a coordinate grid to creat a smaller polygon. The polygon is dilated using the organ as the center of dilation. What rule could represent this dilation? A-(x,y) (0.5-x,0.5-y)

Answer:

The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Step-by-step explanation:

Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality constant.

If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{21}{6}[/tex]

[tex]k = \frac{7}{2}[/tex]

Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Answer:

x = 5.26 m

Step-by-step explanation:

Given that,

The angle of inclination = 20°

The vertical height of the ramp, h = 1.8 m

We need to find the length of the ramp. Let it is x.

We can find it using trigonometry. So,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

We have,

P = 1.8 m, H = x

[tex]\sin20=\dfrac{1.8}{x}\\\\x=\dfrac{1.8}{\sin20}\\\\x=5.26\ m[/tex]

So, the length of the ramp is 5.26 m.

From the given triangles RST and TXY, angle R is equal to angle XTY. Therefore, option B is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, ΔRST≅ΔTXY.

We know that, corresponding parts of congruent triangle are equal

Here, ∠R=∠XTY

Therefore, option B is the correct answer.

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Step-by-step explanation:

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Answer:

two different ways of theoretical and experimental explanation

both are correct

hope they helped you

Answer:

5(a-b)=3(a+b)

5a-5b=3a+3b

2a-2b=0

2a=2b

a=b

a:b=1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Area of a rectangle is length multiplied by width. So 2/3 times 1/2 which equals 1/3 or .33333 repeated

Answer:

B. 1/3.

Step-by-step explanation:

The area of a rectangle is represented by the following equation:

Area = width x height

In this case it would look like this:

[tex]Area = \frac{1}{2} * \frac{2}{3}[/tex]

Now, we solve:

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

Therefore, the correct answer is B. 1/3.

Hope this helps!!

- Kay :)

Answer:

c) 6

Step-by-step explanation:

2(2+1)

4+2

6

Answer:

The answer is 6

Step-by-step explanation:

2+1=3

3*2=6

Answer:

a^n+a^n+1

2a^n+1

1(2a^n+1)

Answer:

Maria made more money

Answer:

it would be 5$ for ten and 0.5 for each orange

Step-by-step explanation:

Based on the graph given above, the hours you will have to be awake when your computer has 0% charge is: 4.5 hours.

Analyzing the graph given in the image above, where c represents the amount of charge you have left on your computer, and h represents the number of hours after you have been awake, the graph shows the following:

Therefore, the number of hours you will have been awake for your computer to have no charge left is: 4.5 hours.

Learn more about graph on:

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Answer:

4 miles per hour.

Step-by-step explanation:

6/1.5 = 4

Answer:

12x-20

Step-by-step explanation:

4×3x=12x

4×-5=-20

therefore,

12x-20

Answer:

4(3x-5)

Distribute

4 ( 3 − 5 )

1 2 − 2 0

Solution

1 2 − 2 0

Answer:

help me pls

Step-by-step explanation:

Answer:28

Step-by-step explanation: 7x4 Equals 28 basketballs

X = 7

Y = 6

Y = 24

X = ?

24/6=4

7x4 = 28

Your answer is 28

Answer:

66%

Step-by-step explanation:

Answer:

sorry where is figure.

Step-by-step explanation:

area of triangle ABE=area of triangle BE3

Answer:

positive

Step-by-step explanation:

8÷8=1

..............

Answer:

8 ÷ 8 = 1

Step-by-step explanation:

1 Is positive

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Answer:

8. Ability 9. Networking

Step-by-step explanation:

Ability is a skill you develop with practice and networking is sharing information.

Answer:

[tex]f(x)=(x+8)^{2}-110[/tex]

Step-by-step explanation:

Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.

[tex]f(x)=x^{2} +16x - 46\\[/tex]

Group;

[tex]f(x)=(x^{2}+16)-46[/tex]

Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;

[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]

Simplify, factor;

[tex]f(x)=(x+8)^{2} - 110[/tex]

Answer:

car leasing is the leasing of a motor vehicle for a fixed period of time at an agreed amount of money for the lease.

Answer:

Car leasing is purchasing a car for however long you want while you pay for it monthly.. when your lease is over, you can continue to lease your car, buy your 1st car, or decide to do nothing.. it's really up to you.

Step-by-step explanation:

Leasing a car is easier but not really a good idea because you're wasting more money.

3x≤-6

x=-2

mark it on the x axis and then shade to the left

Answer:

x≤-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

B or D

Answer:

$3.40 per card

Step-by-step explanation:

To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):

 $17

--------------- = $3.40 per card

   5 cards

Answer: $3.4

Step-by-step explanation: If 5 cards cost $17

Divide 17 by 5 : 17/5

Your result will be 3.4

Meaning 1 card cost $3.4

Answer:

17

Step-by-step explanation:

Answer:

a=17

Step-by-step explanation:

When an equation says +(-) like this one, all you have to do is subtract :)

Knowing that if you rewrite this you get a= 21-4, which is 17!

I hope this helps, and have a great day! <3 :D

Answer:

$240

Step-by-step explanation:

40*6=240

Answer:

240

Step-by-step explanation:

1 year-> 12 months

1/2 of 12 - > 6

6x 40=240

Answer:

9 cups of grape juice = 10 cups of apple juice.

Step-by-step explanation:

2 cups of grape juice = 3 cups of apple juice

9 cups of grape juice = ? cups of apple juice

9-2=7 cups of grape juice

3+7=10 cups of apple juice

9 cups of grape juice = 10 cups of apple juice.

Answer:

1 hour or 60 minutes