Which theorem can you use to prove that ABE is congruent to CDE?

A. AAS
B. SAS
C. ASA
D. SSS​

Answer:

y= 0.74x

0.74 (1500) = 1,110 euros

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Since: 1 US dollar = 0.74 Euros

To convert x US dollars to Euros we have to multiply it by 0.74:

y= 0.74x

Where:

y = value in EUROS

x = value in US dollars

For 1500:

y = 0.74 (1500) = 1,110 euros

Feel free to ask for more if needed or if you did not understand something.

Answer:

shoulf be the first one: f(x) (½)^x-3

Answer:

[tex]\huge\boxed{g(a-1)=\dfrac{2-a}{a}=\dfrac{2}{a}-1}[/tex]

Step-by-step explanation:

[tex]g(t)=\dfrac{1-t}{1+t}\\\\g(a-1)-\text{substitute}\ t=a-1\ \text{to}\ g(t):\\\\g(a-1)=\dfrac{1-(a-1)}{1+(a-1)}=\dfrac{1-a-(-1)}{1+a+(-1)}=\dfrac{1-a+1}{1+a-1}=\dfrac{(1+1)-a}{(1-1)+a}=\dfrac{2-a}{a}[/tex]

Answer:

Step-by-step explanation:

The graph of f(x) is translated (right, up) = (h, k) to ...

  g(x) = f(x -h) +k

___

Graph B is translated right 1 unit, so its function is ...

  g(x) = f(x -1) = root(3, x-1)

__

Graph C is translated down 1 unit, so its function is ...

  h(x) = f(x) -1 = root(3, x) -1

The following function is transferred to the new location on the graph. For a particular variable, the value of the function is different.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Given function are;

[tex]\rm g(x)= root(3,x-1)\\\\ h(x)= root(3,x)-1\\\\[/tex]

From the graph, it is observed that;]

Graph A

[tex]\rm g(x)=f(x-h)+k[/tex]

Graph B

[tex]\rm g(x)= f(x-1)=root(3x-1)[/tex]

Graph C

[tex]\rm H(x)(= f(x)-1 = root (3,x)-1[/tex]

Hence, the following function is transferred to the new location on the graph.

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Answer:

A, b, and c

Step-by-step explanation:

They aren’t in college right now. It’s asking for current college students which is d

Answer: 51/8 inches

Step-by-step explanation:

Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:

15 1/8 - 8 3/4

Change the mixed fraction to improper fraction.

121/8 - 35/4

The LCM will be 8

( 121 - 70 )/8

51/8 or 6.375 inches

Therefore, the leftover piece will be 51/8 inches long

Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

Hey there! :)

Answer:

A. 108 ft².

Step-by-step explanation:

Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:

2(4 ·3) = 2(12) = 24 ft²

2(4· 6) = 2(24) = 48 ft²

2(3 · 6) = 2(18) = 36ft².

Add up the areas of the faces:

24 + 48 + 36 = 108 ft².

Answer:

A) 108 sq ft

Step-by-step explanation:

SA = PH + 2LW

P = 2(L + W)

SA = 2(L + W)H + 2LW

SA = 2(4 ft + 3 ft)(6 ft) + 2(4 ft)(3 ft)

SA = 108 sq ft

Answer:x − 3 y = − 36

Step-by-step explanation:

Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37

Step-by-step explanation:

standard form = ax+by=c so you basically just have to take that and put it into the formula

Hope this helps

Answer:

36/100

Step-by-step explanation:

this is because you find the overlapping ranges of each bag which is 5 - 10 on the first bag and 5 - 10 on the second bag. both bags have 10 total numbers, so 6/10 * 6/10 because there are six numbers on each bag and 10 overall choices, so we multiply these two because its an and statement which gives us 36/100.

The probability that we get the same number is 9/25.

It is simply likeliness of happening an event. The probability of an event lies between 0 to 1.

Numbers in first bag=10

Numbers in second bag=10

Common numbers=5,6,7,8,9,10

Total common numbers=6

So the probability that we get the same numbers will be

= 6/10* 6/10

=36/100

=18/50

=9/25

Hence the probability that we will get the same numbers is 9/25.

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Answer:

2000

2200

2220

3100

Step-by-step explanation:

Answer:

There are 4

2200

2000

3100

2220

Answer:

5/8

Step-by-step explanation:

The value of the expression is 8/15

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)

The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)

We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n

Here, n = 15.

So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30

= 8/15

Hence, The value of the expression is 8/15

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Answer:

No

Step-by-step explanation:

Reduce each fraction to find if they are equal to the same ratio.

2/4 reduces to 1/2

14/20 reduces to 7/10

They do not form a proportion.

Answer:

No

Step-by-step explanation:

 2/4 reduced is 1/2

14/20 reduced is 7/10

1/2 is not equal to 7/10

Answer:

$3.55

Step-by-step explanation:

You need to add 29% of $2.75 to $2.75.

That means the price will be 129% of $2.75.

129% of $2.75 =

= 1.29 * $2.75

= $3.55

Answer:

D

Step-by-step explanation:

Replace by the coordinates

3*3 -1>1

Answer:

D. (3,1)

Step-by-step explanation:

Plug the X and Y values into the expression y<3x-4

Substitute 3 for X and 1 for Y and simplify

y < 3x - 4

1 < 3(3) - 4

1< 9 - 4

1< 5

In this case 1 is less than 5, that is a correct statement, so your answer is C.

Answer:

12x^3 -28x^2 -21x +30

Step-by-step explanation:

1) Distribute!

(6x-5)(2x^2-3x-6) = 12x^3 -18x^2 - 36x -10x^2 +15x+30

2) Combine like terms!

12x^3 -18x^2 - 36x -10x^2 +15x+30 = 12x^3 -28x^2 -21x +30

Answer is:

12x^3 -28x^2 -21x +30

Hope it helps!!

Answer:

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon.

Step-by-step explanation:

Answer:

284.4 I took the test ;)

Answer:

k = 2

Step-by-step explanation:

Given the equations:

g(x) = 3x² + 8x + k

f(x) = 2x - 1

At the intersection point:

g(x) = f(x)

3x² + 8x + k = 2x - 1

3x² + 6x + (k+1) = 0

If there is only one intersection point, the discriminant must be equal to zero:

b² - 4(a)(c) = 0

6² - 4(3)(k+1) = 0

36 - 12(k+1) = 0

36 - 12k - 12 = 0

24 = 12k

24/12 = k

2 = k

Answer:

-2a+b

Step-by-step explanation:

Answer:

solution,

[tex](a + 2b) - (3a + b) \\ = a + 2b - 3a - b[/tex]

Collect like terms

[tex] = a - 3a + 2b - b \\ [/tex]

Simplify:

[tex] - 2a + b[/tex]

Hope this helps..

good luck on your assignment....

Answer:

For the first question, there is a 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

100: 224 = 61:x → 61/100 = x/224

100x = 13664

x = 136.64 → 136 groups (You can't round up if you don't have enough people)

Hope this helped!

Answer: 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

:) The other answer is correct too! But just for clarification! :)

Answer:

Step-by-step explanation:

1+2 cos α

[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]

Answer:

-47

Step-by-step explanation:

Step 1: Factor GCF

-6(x² - 6x - 36) = 0

Step 2: Divide by -6 on both sides

x² - 6x - 36 = 0

Step 3: Isolate x's

x² - 6x = 36

Step 4: Complete the Square

x² - 6x + 9 = 36 + 9

(x - 3)² = 45

Step 5: Move everything to one side

(x - 3)² - 45 = 0

So, a = 1, b = -3, c = -45

1 - 3 - 45 = -47

Answer:

The answer would be D.

Step-by-step explanation:

I know this, because all you have to do is plug in whatever number equals zero in the parenthesis.

It should look like this.

G(x) = (x-3)^2 - 5

So you would plug in 3 for x.

Then the answer to the equation would be -5.

Then I look to see if there is a point at (3, -5)

There was a point there, so then I knew that was the answer.

Answer: 9πcm²

Step-by-step explanation: area of the square= 36cm²

Therefore, the area of one side= √area = √36 = 6cms

Since the circle is touching the sides of the square, the side of the square = the diameter of the circle

Therefore the radius of the circle= side/2 = 3cm

The formula for the ares of the circle is πr²

π*3*3 = 9πcm²

Answer:

8

Step-by-step explanation:

Answer:

yes it is 8

Step-by-step explanation:

i did the assiment on edge 2021

Answer:  θ = 48.2°

Step-by-step explanation:

The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3

[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\\\\\\\cos \theta=\dfrac{2}{3}\\\\\\\theta =\cos^{-1}\bigg(\dfrac{2}{3}\bigg)\\\\\\\theta = 48.1896[/tex]

rounded to three significant digits = 48.2°

The measure of angle theta is 48.2 degrees.

In a right angled triangle, the cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.

According to the given question

We have a right triangle

Let the be ABC in which ∠ACE = θ

And,  AE is a perpendicular bisector so CE = 4/2

Now in right angled triangle ACE, the cosine of θ is given by

cosθ = length of the adjacent side/ hypotenuse

⇒ cosθ = [tex]\frac{CE}{AC}[/tex]

⇒cosθ = [tex]\frac{2}{3}[/tex]

⇒ θ = [tex]cos^{-1}( \frac{2}{3} )[/tex]

⇒ θ = 48.2 degrees

Hence, the measure of angle theta is 48.2 degrees.

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Answer:

A. 1/8

Step-by-step explanation:

m = rise/run

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

m = (-5- - 4)/(1-9)

m = (-5+4)/(-8)

m = (-1)/(-8)

m = 1/8

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula to find gradient, m, is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Then, you have to substitute the coordinates into the formula :

[tex]let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)[/tex]

[tex]m = \frac{ - 5 - ( - 4)}{1 - 9} [/tex]

[tex]m = \frac{ - 5 + 4}{ - 8} [/tex]

[tex]m = \frac{ - 1}{ - 8} [/tex]

[tex]m = \frac{1}{8} [/tex]

Answer:

[tex]60cm^{2}[/tex]

Step-by-step explanation:

so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.

[tex]h^{2} =13^{2} -5^{2}[/tex]

[tex]h^{2} =169-25[/tex]

[tex]h^{2} =144[/tex]

[tex]h=\sqrt{144}[/tex]

[tex]h=12[/tex]

We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.

area of triangle = [tex]\frac{1}{2}[/tex] x base x height

area of triangle = [tex]\frac{1}{2}[/tex] x 10 x 12

area of triangle = 60

Answer:

[tex]\boxed{Area = 60 cm^2}[/tex]

Step-by-step explanation:

Perimeter of the isosceles triangle = 10+13+13

=> 36 cm

Semi Perimeter = 18 cm

Using Heron's formula to find the area:

=> [tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is the semi perimeter and a,b and c are the sides

=> Area = [tex]\sqrt{18(18-13)(18-13)(18-10) }[/tex]

=> Area = [tex]\sqrt{18(5)(5)(8)}[/tex]

=> Area = [tex]\sqrt{3600}[/tex]

=> Area = 60 cm²