Consider the figure below. Write the equation of the line of reflection.
_____ = ______
​

Answer:

W = 16 2/3 yards

L = 3 1/3 yards

Step-by-step explanation:

A rectangle will consist of two sides with length L, and two more sides with length W.  Area will be W*L.

We are told that L is 30 yards less than 2W:

L = 2W - 30

We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.

Therefore, we can write:  2W + 2L = 60 yards.

I see the words "need to use," so I must conclude that all of the fencing must be used.  This sounds like a domestic issue.

Let's use L=2W-20 in the equation 2W + 2L = 60:

2W + 2L = 60

2W + 2(2W-20) = 60

2W + 4W-40 = 60

6W =100

W = (100/6) = 16 2/3 yards

L = 2W - 30

L = 2(16+(2/3)) - 30

L = 33 1/3 - 30

L = 3 1/3 yards

===============

Is the length 30 yards less than twice the width?

2W = 33.33

33.33 - 3.33 = 30 yards  YES

Answer:

You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^

The correct answer is m<- 2  7/12

Step-by-step explanation:

This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities

Good luck everyone of the rest !!!!

The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

Given are the inequalities and it is asked to solve for [m].

The given inequalities are given as follows -

m + 13 < − 214

m > − 11112

m > − 2712

m < − 11112

m < − 2712

Now, we can write -

m + 13 < − 214

m < - 214 - 13

m < - 227

Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)

Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

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Answer:

8 hours

Step-by-step explanation:

4 people = 6 hours

→ Work out how long 1 person takes

1 person = 24 hours

→ Work out how long 3 people takes

3 people = 8 hours

Answer:

14

Step-by-step explanation:

3x7=21 you take away 7 books you would have 14 left or 7x2

Multiply cost per yard by total yards:

7.99 x 12.4 = 99.08

Answer: $99.08

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200

Answer:

Step-by-step explanation:

68 1/4

The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Assume the distance covered before their first stop for gas be 'x'

Total distance travelled is 381  miles

We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is

x + 3x + 58 3/4  = 381

4x + 58 3/4  = 381

x=68 1/4 in mixed fraction

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Answer:

A, C, and E

Step-by-step explanation:

if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.

Answer:

2000 Meters

Step-by-step explanation:

First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.

Answer:

Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around

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Answer:

Step-by-step explanation:

Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around

love ELVIS

Answer:9.1 units

Step-by-step explanation: Hope you get it right :D

Answer:

. 2 m/s

Step-by-step explanation:

Speed is defined as the rate of change in distance per time.

in this case you can simply observe the graph to get the final and initial distances & time.

The motion starts from 0 and moves to 2 if you look at the y axis of the graph.

Thus, the initial distance is 0m & the final distance is 2m

The time is specified in the question to have an initial of 0 sec and a final of 1 sec.

now let's plot our values out as a given.

S1 = 0m t1 = 0 sec

S2 = 2m t2 = 1 sec

and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t

∆S = S2 - S1 = 2m - 0m = 2m.

∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.

∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)

Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

The rule of three is:

1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.

12 batches - x grams

Applying cross multiplication:

[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]

Applying scientific notation:

[tex]8.28 \times 10^{-9}[/tex]

The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

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Answer: d.

15/24 is not an equivalent fraction of 3/5.

Answer:

A) x=10

Step-by-step explanation:

All the angles in a triangle will add to equal 180°.

Knowing this, we can set up an equation.

(8x+5) + (5x-1) + (4x+6)= 180°

In order to solve, we must first combine like terms. (These can be found on the left side of the equation).

8x+5x+4x= 17x

5+ (-1) + 6= 10

We can now rewrite our equation as follows:

17x+10=180°

Subtract 10 from both sides.

17x+10=180°

    - 10   -10

17x=170°

Divide by 17 on both sides.

17x=170°

----   -----

17      17

x= 10°

The answer is x=10°.

Answer:

u are u and u and u and u and u

Answer:

17 ft 8 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

360° degrees

The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The two-dimensional figure is shown in the picture.

As we know from the definition of the geometric transformation; the change in coordinates and the shape of the geometrical body and geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees

Because the rotation of 45, 90, and 180 degrees cannot map the figure onto itself.

Thus, the least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.

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The system of equations representing the number of Blue-ray discs and DVD's after t months are:

507 + 26t

925 - 12t

Each month, the number of DVD's sold decreases by 12, this can be modelled as:

number of DVD in opening month - (monthly decrease x number of months)

Number of DVD's in t months = 925 - 12t

Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:

number of blue-ray discs in opening month + (monthly increase x number of months)

Number of Blue-ray discs in t months = 507 + 26t

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Answer:

B. Quadratic, degree 2

Step-by-step explanation:

ALl you have to see is the degree. The degree is the largest exponent of the expression. The largest exponent here is 2 and since there is only one answer with a degree of two, the answer is b.

Answer:

B

Step-by-step explanation:

the largest exponent is 2 i.e the degree is 2

Answer:

8

Step-by-step explanation:

The fraction simplifies to 9 ^5

9^5 x 9^3 = 9^8

Answer:

5016 feet

Step-by-step explanation:

Multiply the percentage by the allowable amount:

180% = 1.80

20 x 1.80 = 36

Answer: 36 mg