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Given:

A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).

The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.

To find:

The coordinates of the vertices of the image of the quadrilateral.

Solution:

If a figure is dilated by a scale factor k with origin as it center, then

[tex](x,y)\to (kx,ky)[/tex]

It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is

[tex](x,y)\to (3.5x,3.5y)[/tex]

Using this rule, we get

[tex](1,4)\to (3.5(1),3.5(4))[/tex]

[tex](1,4)\to (3.5,14)[/tex]

Similarly,

[tex](7,3)\to (3.5(7),3.5(3))[/tex]

[tex](7,3)\to (24.5,10.5)[/tex]

[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]

[tex](3,-5)\to (10.5,-17.5)[/tex]

And,

[tex](8,4)\to (3.5(8),3.5(4))[/tex]

[tex](8,4)\to (28,14)[/tex]

Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).

Step-by-step explanation:

I would go with a or b but one sec let me work it out

Answer:

divide 47.12 by 3.14

Step-by-step explanation:

that way it will give you an answe

9514 1404 393

Answer:

  DECB

Step-by-step explanation:

Correct except for graph 2. That graph has a solid line, a y-intercept of -2 and a slope of 4. Its inequality is ...

  y ≤ 4x -2 . . . . choice E

Answer: 6 units squared

Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.

The cost of bill is,

⇒ $24

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A 15% tip on a restaurant bill is $3.60.

Now,

Let the cost of bill is, $x

Hence, We can formulate;

⇒ 15% of x = 3.60

⇒ 15x/100 = 3.60

⇒ 15x = 360

⇒ x = 360 / 15

⇒ x = 24

Thus, The cost of bill is, $24

Learn more about the percent visit:

https://brainly.com/question/24877689

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Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

Answer:

quadrilateral: a four-sided shape or figure and has four striaght sides

parallelogram: four-sided plane with oppisite paraell sides

trapezoid: a quadrilateral with one pair of parell sides  

rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,  

diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .

square: a quadrilateral with four equal sides. It is a rectangle and parallagram.

Hope that helped you! :)

Step-by-step explanation:

Answer:

x = √3

Step-by-step explanation:

tan 30° = 1/x

x = 1.73

but to get it in radical form:

sin 30° = 1/hypotenuse

hypotenuse = 2

x² = 2²- 1² = 4 - 1 = 3

x = √3

Answer:

28 degrees

Step-by-step explanation:

just subtract 62 from 90

Answer:

Mulipte them

Step-by-step explanation:

for the 15 ft look at the other side which is 50 ft  and do 50-15 to see what is the other missing part

Answer:

-1/3

Step-by-step explanation:

Triangle 1 and 4 are similar using AAA

number one and four.......

Answer:

A measure of exposure-disease association one could use is the odds ratio (OR)

Step-by-step explanation:

An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome

The odds ratio gives the probability of outcome where there is a given amount of exposure

We have the table;

[tex]\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}[/tex]

The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)

∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.[tex]\overline{428571}[/tex] ≈ 8.4

Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.

Step-by-step explanation:

no loss because he bought so rich and sold so los cost

Answer:

She's getting paid minimum wage, in debt, and struggling in college.

Answer:

3.-5 is correct

Step-by-step explanation:

We are given,

The table which represents a function.

Now, 'A function is a relation in which every element of the domain has a unique image'.

So, from the table, we see that,

-5 has the image 15.

So, it cannot have another image.

Thus, the number which cannot be used to complete the table is -5.

Hence, option C is correct.

Answer:

a

Step-by-step explanation:

Answer:

147

Step-by-step explanation:

Answer:

x= 147

Step-by-step explanation:

x+33°= 180° (sum of angles on a straight line)

x= 180°-33°

x= 147°

Given:

B is the midpoint of line AC.

[tex]AB=6Y-14[/tex]

[tex]BC=10-2Y[/tex]

To find:

The length of AC.

Solution:

It is given that B is the midpoint of line AC. So,

[tex]AB=BC[/tex]

[tex]6Y-14=10-2Y[/tex]

[tex]6Y+2Y=10+14[/tex]

[tex]8Y=24[/tex]

Divide both sides by 8.

[tex]Y=\dfrac{24}{8}[/tex]

[tex]Y=3[/tex]

The value of Y is 3.

Now,

[tex]AC=AB+BC[/tex]

[tex]AC=6Y-14+10-2Y[/tex]

[tex]AC=4Y-4[/tex]

Putting [tex]Y=3[/tex], we get

[tex]AC=4(3)-4[/tex]

[tex]AC=12-4[/tex]

[tex]AC=8[/tex]

Therefore, the length of AC is 8 units.

Put formula of perimeter and simplify to get value of any variable ,

Then replace the value of that variable in formula of area and then simplify it .

Answer:

1: x int = (-7,0)

y int = (0,-7)

2: x int = (4,0)

y int = (0,8)

Step-by-step explanation:

Just use a website called desmos. Simply your equation then plug it in.

Answer:

He makes 44 bracelets on Friday.

Brainly me or heart if this helped!

Answer:

36 bracelets

Step-by-step explanation:

12+(3*8)=x

12+24=36

Aidan originally started with 12 bracelets. He makes 8 Tuesday through Thursday, which is three days. 8 * 3 is 24 plus 12 equals 36.

Answer:

56

Step-by-step explanation:

x=5

so x for the gym is 5 and x+3=5+3=8

add 5 and 8 because that is a whole side.

we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30

add the 26 and 30

Answer:

-1

Step-by-step explanation:

Substitute the two points given into the slope formula:

m= y2-y1/x2-x1

m= 0-1/1-0

m=-1

The Slope is -1

Hope this helps! :)