Given that ∠3≅∠5 .

Which theorem proves that d∥e?


alternate exterior angles theorem

converse of the alternate interior angles theorem

converse of the alternate exterior angles theorem

alternate interior angles theorem

Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation:

Answer:

Is it the full question I mean what does it want next anyway?

But here's your answer :

3x^4 + 14x^3 + 23x^2 + 16x + 4

Answer:

Step-by-step explanation:

Pay attention to order of vertices when comparing the congruent parts or figures.

C and D as well as B and E are corresponding vertices according to angle marks and side marks.

In ∆ABC and ∆DEF

So

[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]

By SSS congruence

Answer:

Radius:  √ 61

Step-by-step explanation:

Complete the square for  x^ 2 + 12 x = ( x + 6 ) ^2 − 36

Substitute   ( x + 6 ) 2 − 36  for  x 2 + 12 x  in the equation  x 2 + y 2 + 12 x − 10 y = 0

= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0

Move  − 36  to the right side of the equation by adding  36  to both sides

= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36

Then you know the rest: radius will be √ 61

The center coordinate of the circle is (6,5) with a radius = 7.34

The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]

Substituting the values in the equation:

[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]

⇒  -2ax =  -12x

⇒  a = 6.

-2by = -10y

b= 5.

⇒ a² + b² - r² =  -7

⇒  6² + 5² + r² = -7

⇒ 36 + 25 + r² =  -7

⇒ r² = 54

⇒ r = 7.34

Center coordinate (6,5) with r = 7.34

Learn more about the equation of the circle here: brainly.com/question/1471134

#SPJ2

Answer:

3,915 mi

Step-by-step explanation:

Answer:

error: forgot to distribute 6 to the 8

correction: 6(y+8) = 6y+48

Step-by-step explanation:

in distributive property: you must multiply the number on the outside to both of the numbers in the inside

Answer:

x2 + (y + 8)2 = 36

Step-by-step explanation:

:) took the test

The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given that,

A circle has a diameter of 12 units.

So radius = 12 / 2 = 6 units

Center of the circle lies on the Y axis.

So the x coordinate of the center of the circle will be 0.

So, in (h, k), h = 0

So the equation will be of the form,

(x - 0)² + (y - k)² = 6²

x² + (y - k)² = 36

Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

Learn more about Equations of Circles here :

https://brainly.com/question/29288238

#SPJ7

Answer:

The given equation is true for all x.

Step-by-step explanation:

Answer:

Sodas = 148

Hot dogs = 93

Step-by-step explanation:

Let S and H stand for the number of Sodas and Hot dogs, respectively.

We are told that:

H + S = 241

We are also told that:

S = H + 55

Use the second expression for S (H+55) in the first equation:

H + S = 241

H + (H+55) = 241

2H + 55 = 241

2H = 186

H = 93

Since H = 93,

S = 93+55, or 148

148 + 93 = 241  [Checks]

Sodas = 148

Hot dogs = 93

Answer:

A) 1

Step-by-step explanation:

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

Answer:

22.84

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because if you see the x-intercept you will see function with zeros of -2, -1 and 2

Answer:

21

Step-by-step explanation:

One number is 3 times another

x and 3x

difference between the numbers is 14,

3x - x = 14

simplify

2x = 14

Divide both sides by 2

x = 7

3x = 21

Answer:

The larger number is 21.

Step-by-step explanation:

let, the smaller number be x.

the larger number be 3*x =3x.

Now,

3x-x=14

or, 2x=14

or, x=14/2

x=7

here,

3x=3*x=3*7=21

Answer:

1. -20

2. 27

3. 36

4. -200

Answer:

x = 3, y = 11/7.

Step-by-step explanation:

6x - 7y = 7

x - 7y  = -8   Subtract:

5x = 15

x = 3

3 - 7y = -8

-7y = -11

y = 11/7.

Answer: x = 3 and y =  11/7

Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x)                                             -7y/-7 = -6x+7/-7                                                                                                     y = 6/7x-1                                                                                                               x-7 (6/7 (x) -1) = -8                                                                                             -5x+7+(-7) = -8+(-7)                                                                                         -5x/-5 = -15/-5                                                                                                        x = 3                                                                                                                         y = 6/7x-1                                                                                                               y = (6/7) (3) -1                                                                                                         y = 18/7-1                                                                                                                 18/7-1/1                                                                                                                 18/7-7/7                                                                                                                 y= 11/7                                                                                                                     x = 3 and y =  11/7

Answer:

15 square feet

Step-by-step explanation:

a = (1/2)bh

a = (1/2) * 6 * 5

a = 3 * 5

a = 15

15 square feet

Answer:

x = -5.85

Step-by-step explanation:

Solve the equation

1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]

Subtract -2.7 on both sides by doing the inverse operation.

2) [tex]-\frac{2}{9}x = 1.3\\[/tex]

Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.

3)[tex]x = -5.85[/tex]

Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50

Using the slope - intercept relation :

b = change in cost per mile

c = constant price added for every taxi ride

Hence, the expression can be written thus :

Learn more : https://brainly.com/question/17225268

3(a-4) + 1= 9 - a

3(a-4) = 8 - a

3a-12 = 8 - a

4a = 20

a=5

I hope this helps! :)

Answer:

a=5

Step-by-step explanation:

3(a-4)+1=9-a

3a-12+1=9-a

   3a-11=9-a

   3a+a=9+11

       4a=20

         a=20÷4

           =5

Answer:

ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i

If this is the question in picture below.

Answer:

468

Step-by-step explanation:

Answer:

least common multiple: 1000

greatest common factor is 50

least common factor would be 1, but that isn't really a common thing to calculate

Step-by-step explanation:

Answer:

a. 3/10

b. 1/5

c. 1/4

Step-by-step explanation:

a. 30/100 = 3/10

b. 20/100 = 1/5

c. 25/100 = 1/4

Answer:

Step-by-step explanation:

You are working with 1 large square made up of 100 little squares. The little squares make up 10 columns of 10 little squares each.

A

Shaded part = 30 squares.

Entire large square = 100 small squares

% = 30 / 100 * 100 = 30%

B

Shaded part = 20 horizontal squares.

Entire large square = 100 small squares

% = 20 / 100 * 100 = 20%

C

Shaded part = 5 by 5 little squares = 25 little squares

Entire large square = 100 small squares

% = 25 / 100 * 100 = 25%

Answer:

10

[tex]10 \times 9 \\ 90[/tex]

Answer:

90 :)

Step-by-step explanation:

10 x 9 = 90

= 90 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

median is 40.5

Step-by-step explanation:

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

half way between numbers in numerical order

lands between 40 and 41

40.5

Answer:

41

Step-by-step explanation:

1. First you have to put the numbers in order from least to greatest:

22 36 39 39 40 40 41 42 45 46 46 49

2. Then cross out each number until you find the one that in the middle

For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea