Imagine you write the letters of the word GREAT on individual cards. You shuffle them, turn them facedown on a table, and turn over the top card. What is the probability of turning over an E?​

Yes, Triangles ABC and AED are congruent by SSS or SAS.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in image.

Now,

Here, In triangles ABC and AED;

⇒ AB = AE = 7

⇒ BC = DE

⇒ AC = AD

⇒ ∠BAC = ∠DAE

Thus, The triangles ABC and AED are congruent by SSS and SAS.

Learn more about the triangle visit:

https://brainly.com/question/17335144

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Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

Answer:

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Answer:

68

Step-by-step explanation:

Answer:

5 and 7

Step-by-step explanation:

Let the two numbers be x and x + 2.

According to Question ,

[tex]\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }[/tex]

Hence the nos . are 5 and 7

Step-by-step explanation:

A=a+b

2h=13+10

2×18=207

formula a=a+b/2×18

Answer:

Option C is your answer

Step-by-step explanation:

21,22,  23,  26,29,  32,  34,38,  40,  42,43

Yes, Q1 is 23, median is 32, Q3 is 40

So the box should start on 23, end on 40, and have its inner line over 32.

In your picture, that's option C

Answer:its c

Step-by-step explanation:i took the test

Answer:

8

Step-by-step explanation:

50.24/3.14

= 16

16/2

= 8

Answer:

What are you trying to solve? That equals 6/8

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the Trigonometric Ratios

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

[tex]cos(72)=\frac{6.6}{x}[/tex]

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have [tex]xcos(72)=6.6[/tex]

Step 2 divide each side by cos(72)

[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

Related diagram is attached below :

Answer:

No

Step-by-step explanation:

The height, h of the tent attached below can be obtained using Pythagoras rule, as the shape forms a right angle triangle.

Length of base , = 24 / 2 = 12 feets

Hypotenus = 15 feets

The height, h = √(hypotenus² - Base²)

h = √15² - 12²

h = √225 -144

h = √81

h = 9 feet

Tent shouldn't be rented as it is below 10 feets

Answer:

9.375Inch

Step-by-step explanation:

First I did 75 divided By 4 to get how many 4 feet the light house is and then got 18.75 ft and then divided that by 2 and got 9.375inches

Answer:

y=-2/3x+6

Step-by-step explanation:

Answer:

p = 7

Step-by-step explanation:

2p = 14

p = 14/2

p = 7

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

Answer:

2x+4 or 4+2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]

Answer:

x=18

Step-by-step explanation:

3(x-4)=2x+6

3x-12=2x+6

3x-2x=6+12

x=18

Answer:

[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]

Hope it helps!

Answer:

D. Not congruent

Step-by-step explanation:

Answer:

$115 each

Step-by-step explanation:

(800 - 340)/4 = 115

Answer:

-3y (y^2+ 2y-2)

Step-by-step explanation:

i took the test and got this answer

Answer:

4 and 6?

im not sure if you meant numbers

Step-by-step explanation:

Answer:

1) (3,-6)

left 1 up 4

(2,-2)

reflection over y axis

(-2,-2)

2) (3,-6)

Reflection over y axis

(-3,-6)

x times 3 and y times 3

(-9,-18)