A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]

Let's assume the width of the rectangle as x inches. Then the length will become (3x + 9).

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \dashrightarrow{ \sf{2(3x + 9 + x )= 138}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2(4x + 9 )= 138}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{8x + 18= 138}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{8x = 138 - 18}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{8x = 120}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{x = \dfrac{120}{8} }}[/tex]

[tex]\qquad \dashrightarrow{ \bf \: x = 15}[/tex]

⠀

Therefore,

[tex]\qquad { \pmb{ \bf{ Width _{(frame)} = x = 15 \: inches}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Length _{(frame)} = (3x + 9) \: = 3(15) + 9 = 54 \: inches}}}\:[/tex]

Answer: Mike's weekly allowance is 20 dollars

Step-by-step explanation:

Answer:

x=12 pls give brainliest

Step-by-step explanation:

Answer: x = 12, Angle 1 = 38°

Step-by-step explanation: Complimentary angles add up to 90°.

Add the two angles and set them equal to 90°:

(3x + 2) + (4x + 4) = 90

Add like terms:

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

Now, to get Angle 1, plug x in:

Angle 1 = 3(12) + 2

Angle 1 = 38°

Hope this helps!

Answer:

x-intercept(s):

(

4

,

0

)

y-intercept(s):

(

0

,

−

4

)

Step-by-step explanation:

Answer:

1.05

There you go!

Answer:

26.5

Step-by-step explanation:

cut the shape into 3 shapes

area of a retangle is = L*W=  5*4 = 20

Area of a triangle =  a= h*b/2 = 3*3/2 = 4.5

Area of a triangle = a= h*b/2 = 2*2/2 =2

Answer:

38.4 ft

Step-by-step explanation:

Basically, draw out your two Situations like I have did.

Then find the scale factor by doing 6/40.

Multiply the SF by 256 to get X, or the shadow of the woman.

The screenshot provided shows the drawings.

The price elasticity of demand for the parakeet chow is 1.33.

Price elasticity of demand is the change in product quantity demanded to change in price.

From the question:

[tex]\%\ Change\ in \ quantity=\frac{30000-40000}{30000}= -33.3\%\\\\\%\ Change\ in \ price=\frac{20-16}{16}= 25\%\\\\PED=|\frac{\%\ Change\ in \ quantity}{\%\ Change\ in \ price} |=|\frac{-33.3\%}{25\%}|=1.33[/tex]

The price elasticity of demand for the parakeet chow is 1.33.

Find out more on elasticity of demand at: https://brainly.com/question/24384825

Answer:

  x = 6

Step-by-step explanation:

Using the relationships between the entries in the table, you can find x two different ways.

The numbers down the Total column add to give the one at the bottom:

  0.1 + 0.09x = 0.64

  0.09x = 0.54 . . . . . . . subtract 0.1

  x = 6 . . . . . . . . . . . . divide by 0.9

__

The product of the numbers in the first two columns is the number in the third. On the bottom row, this means ...

  (2 +x)(0.08) = 0.64

  2 +x = 8 . . . . . . . . . . . divide by 0.08

  x = 6 . . . . . . . . . . . subtract 2

Answer:

13 hours

Step-by-step explanation:

Since Kiara has already written 37 pages she only needs 13 more to get to 50 pages. If she takes one hour per page then it will take her 13 hours to write 13 pages.

Answer:

The 90% confidence interval is  [tex] 0.0097 <  p_1 -p_2 < 0.0773 [/tex]

Step-by-step explanation:

From the question we are told that

   The first  sample size is [tex]n_1 =  620[/tex]

    The number of chips that failed is  k = 125

   The second sample size is [tex]n_2  =  820[/tex]

    The number of chips that fail is  [tex]u  = 130[/tex]

Generally the confidence level is  90% , hence the level of significance is  

    [tex]\alpha =  (100 - 90)\% [/tex]

=>  [tex]\alpha = 0.10 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the first sample proportion is  

       [tex]\r p _1 =  \frac{125}{620}[/tex]

=>     [tex]\r p _1 = 0.202[/tex]

Generally the second  sample proportion is  

       [tex]\r p _1 =  \frac{130}{820}[/tex]

=>     [tex]\r p _1 = 0.1585[/tex]

Generally the standard error is mathematically represented as

[tex]SE =  \sqrt{\frac{\r p_1 (1 - \r  p_1)}{n_1} +\frac{\r p_2 (1 - \r  p_2)}{n_2}  }[/tex]    

=> [tex]SE =  \sqrt{\frac{0.202(1 - 0.202)}{620} +\frac{0.1585 (1 - 0.1585)}{820}  }[/tex]  

=>  [tex]SE = 0.0206[/tex]  

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=>     [tex]E = 1.645 * 0.0206[/tex]

=>    [tex]E =0.0338[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex](\r p_1 -\r p_2) -E <  p_1 - p_2 <  (\r p_1 -\r p_2) +E [/tex]

=>    [tex](0.202 -0.1585) -0.0338 <  p_1 - p_2 < (0.202 -0.1585) +0.0338 [/tex]

=>    [tex] 0.0097 <  p_1 - p_2 < 0.0773 [/tex]

Answer:

And............ What?

Answer:

468 ft²

Step-by-step explanation:

Area= (sum of the 2 parallel sides÷2)×perpendicular height

=(15+37)÷2×18

=52÷2×18

=468

9514 1404 393

Answer:

Step-by-step explanation:

As the attached diagram shows, a perpendicular line from B intersects a choice of C only for B1(12, 6) and B2(12, 16). We note that there are only 3 choices of point C shown, instead of 4, so the question may be incomplete.

__

It seems easiest to graph the points and use a square (right-angle tool) to identify points C that may be appropriate.

It can also work to use a spreadsheet to do the slope calculations. You want to find a point C such that BC ⊥ AB, for a given AB pair. That is, the slope of BC is the negative reciprocal of the slope of AB.

The 2nd and 3rd C points listed make right angles with the 1st and 2nd AB pairs listed, respectively.

Answer:

312.5

Step-by-step explanation:

P=5000

r=12.5%=0.125

t=6month=0.5years

I=P•r•t

I=(5000)(0.125)(0.5)

I =$312.5

Answer:14

Step-by-step explanation:

Answer:

14

Step-by-step explanation: Correct

Answer:

b,d

Step-by-step explanation:

Answer:

2x - 3y = 6

[tex]x = 3 + \frac{3y}{2}[/tex]

[tex]y = 2 + \frac{2x}{3}[/tex]

4y - x = 12

[tex]x = 12 + 4y\\y = 3 + \frac{x}{4}[/tex]

Step-by-step explanation:

Divide both sides of the equation to "solve for x and y."

Answer:

Abe I would estimate 20 and actual time would be 21

Lane I would estimate 15 and the actual time would be 17

Norma I would estimate 15 and actual time would be 13

Amado I would estimate 40 and actual time would be 40

Cesar I would estimate 25 and actual time would be 25

Step-by-step explanation:

Hope this helps a bit!

Answer:

there is no way to further simplify the equation

Step-by-step explanation:

Answer:

y = 2x + 4

Step-by-step explanation:

the equation of a line in point- slope form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 2 and passes through point (0, 4 ) ⇒ c = 4

y = 2x + 4 ← equation of line

Answer:

y = 2x + 4

Step-by-step explanation:

General form of linear equation:  y = mx + c

where m is the gradient and c is the y-intercept

Given gradient = 2  

⇒  m = 2  

⇒  y = 2x + c

y-intercept is when x = 0

Given (0, 4), so y = 4 when x = 0

⇒ c = 4

⇒ y = 2x + 4

Step-by-step explanation:

I think this is the answers. hope it helps you

ANSWER

thirteen point zero eight five

the last one is the line expression who shows the distance from 2 to negative 5

Option D is the correct answer.

We need to identify which number line expression shows how to find the distance from 2 to -5.

A line on which numbers are marked at intervals is used to illustrate simple numerical operations.

If we see option D, it has been marked correctly at 2 and -5.

Therefore, option D is the correct answer.

To learn more about the number line visit:

https://brainly.com/question/13189025.

#SPJ5

Answer:

i domisa

Step-by-step explanation:

Given that each package contains 9 trading cards.

Packages                                      Trading cards

2                                                      18

4                                                      36

7                                                      63

Answer:

-1 and 3

Step-by-step explanation:

The roots of the quadratic function can be determined by [tex]f(x')=0[/tex] where x' is the roots of the quadratic function. In that graph, x = -1 and x = 3 makes the value of f(-1) = 0 and f(3) = 0. So, x = -1 and x = 3 are the roots of the f(x).

Divide the number of defective by the total number of batteries then multiply by 100 to get the percent.

18/150 = 0.12

0.12 x 100 = 12%

Answer: 12%

Answer:

how to understand the problem is picture the shape as a house and try to figure out what to do next

Step-by-step explanation:

Answer:

The answer is 72

Step-by-step explanation:

The formula to find the area of a trapezoid

[tex]A= \frac{1}{2}h(b_{1} + b_2{} )[/tex]

First, we can add the bottom base together

5 + 8 + 3 = [tex]16_{2}[/tex]

We know that the height of the trapezoid is 6 and base1 is 8

[tex]A= \frac{1}{2}6(16 + 8)[/tex]

[tex]A=\frac{1}{2}6(24)[/tex]

[tex]A=3(24)[/tex]

[tex]A=72[/tex]

OR

Find the area of the two triangles

[tex]A=\frac{1}{2}5(6)\\\\A=5(3)\\\\A=15\\\\[/tex][tex]A=\frac{1}{2}3(6)\\\\A=3(3)\\\\A=9\\[/tex]

15 + 9 = 24

For the area of the rectangle

6 x 8 = 48

48 + 24 = 72