An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents this relationship?

Answer:

The fourth option is the answer.

Step-by-step explanation:

Use distance formula

[tex] {x}^{2} + {y}^{2} = {d}^{2} [/tex]

where x is the distance between the two endpoints of the congruent line segment and y is the distance between the congruent line segment.

[tex] {3}^{2} + {6}^{2} = 45[/tex]

Set 45 equal to d^2.

[tex]45 = {d}^{2} [/tex]

[tex] \sqrt{45} = d[/tex]

[tex]3 \sqrt{5} = d[/tex]

L and M have the same distance between points as well. so they are congruent.

Answer:

chicken wing hot dog and bolanga

Step-by-step explanation:

happy chesseburger

Answer:

9.50 + 0.20e = 12.50

Step-by-step explanation:

you start with the 9.50, base price. Then with every photo you pay 0.20, since we don't know how many it is we put a variable. Then we know that those two combined is 12.50, so yeah.

Answer:

Step-by-step explanation:

Total Cost = base price + 0.20*x   Where x is the number of prints printed.

12.50 = 9.50 + 0.20x                      Subtract 9.50 from both sides.

12.50 - 9.50 = 0.20x

3 = 0.20x                                         Divide by 0.20

3/0.20 = x

x = 15

So he printed 15 prints.

Answer:

I love these kind of problems (yes I'm kidding,... lol) your answer is below,...

Step-by-step explanation:

To find the area of the whole shape lets view it as three seprate rectangles,... then we will find the area of the three seperate shapes and add the areas together,... (english scholler voice): "Quite simple really"

For "simplicitys sake" lets view the shape as a house blueprint, no house I would want to live in, but a house non-the-less,... you have the main part of the house (the largest rectangle, the 13yd x 24yd one) the hallway in the middle (the 14yd x 6yd rectangle) and finally the really ridiculous sized I-du-know,... kitchen (the 5yd x 17yd one) Sooo,... lets go,...!

First of all if you didn't follow how I got the three rectangles then it's "quite simple really!" all I did is: take the oppposite side of the very far left side (the one that says 24yd) where is says 7yd and 11yd and because we know that the 7yd + 11yd + the-part-that-we-don't-know-how-long-is, is all = to 24yd then we know that the part that is not labled (the "doorway" from the main part of the house to the hallway) has to be 6yd because 7yd + 11yd + 6yd = 24yd,... AND know we know that that side of the "hallway" is 6yd, so the "hallway" is 6yd x 14yd,... So,...

13yd x 24yd = YES!... 312yd

14yd x 6yd = RIGHT again!... 84yd

5yd x 17yd = YOU are SO LIT,... yes it's 85yd

Alright so we have 312yd and 84yd and 85yd,... all we have to do is add 'em all up and you will have the area of your houseprint,... You got it!

312yd + 84yd + 85yd = (drum roll please,...)  481yd,...

The area of you shape is 481yd,...

So glad to have worked with ye and me thinks that that hopefully helped,...

CHOW,...!

Answer:

h(x) = 3x - 2

Step-by-step explanation:

The opposite of division is multiplying and the opposite of addition is Subtraction.

Answer:i i am going to go with h(x)=1/3 x+2

Step-by-step explanation:

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

Answer:

$24

Step-by-step explanation:

h x 5 = 30

h = 6

30 - 6 = 25

Answer:

There u go, just use the brainly scanner thingy

Movie started at 22 : 45 and ended at 01 : 32.

total watching hours :

I hope it helped !!

Answer:

5 5/8 cups of ketchup

Step-by-step explanation:

1 7/8 x 3

15/8 x 3/1 = 45/8

45/8 = 5 5/8

hi <3

it would be option A and option C, i believe.

hope this helps :)

Step-by-step explanation:

2^5 > 4^2

32 > 16

hopefully it makes

:)

Answer:

Step-by-step explanation:

The slope-intercept form:

Use point (5, -3) and m = -4/5:

The line is:

Answer:

b = 1

Step-by-step explanation:

We know that

y = mx + b

-3 = -4/5 × 5 + b

-3 = -20/5 + b

-3 = -4 + b

-3 + 4 = b

1 = b

Answer:

-1

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = (0-1)/(8-7)

   = -1/1

  = -1

Answer:

[tex] - 6k - 7 - (15 - k) \\ = - 6k - 7 - 15 + k \\ = - 5k - 22 \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

The next step is:

This is a distributive property

Correct choice is A

Answer:

you must send 25 msgs to have the same cost

Step-by-step explanation:

x = n of messages

15+ (0.25x ) = 20 + (0.05x)

0.2x = 5

x = 25

Answer:

at 25 text the plan costs are equal

Step-by-step explanation:

Plan A = $15 + .25t

Plan B = $20 + .05t

when the plan costs are equal $A = $B

then

15 + .25t = 20 + .05t

.25t - .05t = 20 - 15

.2t = 5

t = 25

Answer:

60 degree

Step-by-step explanation:

I don't know the process though

Answer:

x = 44°

Step-by-step explanation:

180 - 67 = 113

23 + 113 = 136

180 - 136 = 44.

Answer:

18

Step-by-step explanation:

243÷13=18remainder9

mark me brainliest

Answer:

18

Step-by-step explanation:

243/13

Answer: 12 servings with one pint.

1 pint = 2 cups

Step-by-step explanation:

5 cups make 30 servings, 2 cups make x servings

5/30 = 2/x (cross multiplication)

(30 * 2)/5 = 12

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

==========================================================

Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

Answer: Should be 8 ,,,,,

Answer:

Step-by-step explanation:

well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.

The answer to that is: X = 8.

40 divided by 5 = 8.

To check we can do 5 x 8 = 40.

X = 8

Answer: i dont know

Step-by-step explanation: 4

Answer:

x ≥ 15

Step-by-step explanation:

first we will subtract 10 from both sides

we get x/3 ≥ 5

then we will multiply both sides by 3

and final answer will be x ≥ 15

Answer:The solution is in the attached file below

Step-by-step explanation:

Answer:

Still C br-uh

Step-by-step explanation:

The choose ; 3i , – 3i

3x²+27=0 —> 3x² = - 27 —> x²= - 27/ 3 = - 9

x = √ - 9 = √-1 × √9 = 3 i

I hope I helped you^_^