Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?

Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

∴ AB = AC ⇒ ∠B = ∠C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)

⇒ 3x - 10 = 25 + x + 15

⇒ 3x - 10 = 40 + x

⇒ 3x - x = 40 + 10

⇒ 2x = 50

⇒ x = 50/2

⇒ x = 25

∴ The value of 'x' in the given figure is 25!

Answer:

1) D: All of the above.

2) A: No solution

3) B: One solution

Step-by-step explanation:

Graphing method: Using the slope and y-intercepts of each equation to plot points and graph the lines to see whether the given system has a point of intersection as a solution.

Elimination method: this involves either adding (when the coefficients have opposite signs) or subtracting (when the coefficients have the same sign).  

Substitution method: involves solving for one of the variables of either equations, and substituting the values of that expression into the other linear equation in the system.

Therefore, the correct answer is Option D: All of the above.

Given the graph of parallel lines, which means that they will never have a point of intersection. Therefore, the given systems of linear equations have no solution. Therefore, the correct answer is Option A: No solution.

Given the graph of two non-perpendicular intersecting lines, it means that they have one point of intersection that represents the solution to the given system.

Therefore, the correct answer is Option B: One solution.

Answer:

C. 16ft by 4ft

Step-by-step explanation:

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

Answer:

31.75

Step-by-step explanation:

if there are 3.5 (or 3 and a half) cans in the lasagna and each holds 10.5 oz, you can use 3.5x10.5 to solve it.

Answer:

x=4

Step-by-step explanation:

[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]

Answer:

lllllllllllllll

Step-by-step explanation:

its is 15 large tables

Answer:

There are 1,000 mL in a L

Step-by-step explanation:

All the other answers are wrong

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to  help

Answer:

A=density=1.42g/cm^3

mass=9.94g

volume=7cm^3

B=density =?

mass=128.66g

volume=125cm^3

C=density=108g/cm^3

mass=138.6g

volume=132cm^3

massA 1.42×7=9.94g

massB 138.6-9.94=128.66g

massC 132×1.05=138.6g

Density of B =mass/ volume

=126.66÷ 125

= 1.03g/cm^3

Answer:

D

Step-by-step explanation:

yeah-ya........ right?

Answer:

r = -4

Step-by-step explanation:

[Given] 6r + 7 = 2r - 9

[Subtract 7 from both sides] 6r = 2r - 16

[Subtract 2x from both sides] 4r = -16

[Divide both sides by 4] r = -4

So our answer is the second option, -4.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Step-by-step explanation:

You answer is -4. I have solved it for you.

Answer:

We can conclude they are congruent

Step-by-step explanation:

Because of the vertical angles theorem

Answer:

-3 is less and -5 is greater

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

because -5 would be less than -3 because it is bigger

Answer:

8

Step-by-step explanation:

Using the Heron's formula we can find that the total area of the triangle is 84 inches.

Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2

Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.

Answer:

Step-by-step explanation:

Answer: C. Is true 7/8>-0.78

Answer:

D

Step-by-step explanation:

Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)

Answer:

8

Step-by-step explanation: 6 (half the perimeter). By truial and error, 2 units by 4 units.

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

Answer:

6

Step-by-step explanation:

this is so simple brother

Answer:

The cube root of 8x27 is 54

Step-by-step explanation:

Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of  (1×2)+(2×3)+(3×4)+(4×5)+(5×6)

Answer:

c

Step-by-step explanation:

it makes the most sense

Answer:

Adam spent in total 288

Answer: z = -8

Step-by-step explanation:

A line with an "undefined slope" is one that is vertical to the x axis.  It has a slope that is undefined because there is no change in x for all points on the line.  The slope is the Rise over the Run, and in this case there is no :Run."  That means dividing by zero, so it is undefined.

Since x foes not change, the unknown point (z,2) would be (-8,2).

z = -8

Hey there!

“Which one of is greater 0.375 or 3/8?”

3/8

= 3 ÷ 8

= 0.375

.375 = 0.375

0.375 = 0.375

So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

⅜ = 0,375

3 ÷ 8 = 0,375

0,375 = 0,375

True.

Explanation:

Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.

To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.

To go from A to D, we do the following steps

Cut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.

To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.

Everything is marked in the diagram below.

Answer:

You Need the angle GEF in order to find DEF and DGE

Step-by-step explanation:

Triangle = 180 degrees

EFD = 60 degrees

180 degrees - (GEF + 60 degrees) = EGF

DEG = 60 degrees

180 - (DEG + GEF + EFD) = EDF

180 - EGF = EGD

DEG + EGD + EDG = 180 degrees

FEG + GFE + EGF = 180 degrees