Two​ trains, Train A and Train​ B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each​ train?

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

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        [] The positive interval is where the function is above the x-axis, and the negative interval is where the function is below the x-axis.

        [] To find it, we can graph the function

                    () See attached

        [] When the function is equal to less than 0, it'll be negative, otherwise it is positive

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

a)since x=5

x²= 5×5

=25

b)(x+3)²

x=5

5+3=8

8²=8×8

=64

Soo :

a) x² = 5² = 5•5 = 25

b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

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Answer:

what do you need help on with this and maybe i can help....

Step-by-step explanation:

8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.

Answer:

standard deviation on edge

Step-by-step explanation:

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

The standard deviation is the statistic that should be used to compare the spread of two sets of data.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.

By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.

Thus,

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

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Answer:

1 - quarts of juice for 5.82 (the first one)

2 - 9.84 for a 12 pack of batteries (the second one)

3 - 24-pack of pencils for 2.64 (the first one)

4 - $2.46 for a 12-ounce jar of jam (the first one)

Step-by-step explanation:

Have a nice day

Answer:

x=4

Step-by-step explanation:

[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]

Answer:

I cant see the numbers...

Step-by-step explanation:

Sorry! I can tell you the answer if you comment on this post.

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

3 boards that are 12 feet long = 38÷2=19

Answer:

18/35

Step-by-step explanation:

favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).

Answer:

24

Step-by-step explanation:

First Step:

2² × 3² =

Second Step:

4 × 3² =

Third Step:

4 × 6 = 24

2 × 2 = 4

3 × 3 = 9

4 × 9 = 36

hence , your ans is 36

Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2  for every point on this line and that is the equation of the line.

Step-by-step  explanation i Hope this helps

Answer: f(1/2) = 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

In order to find f(1/2), we want to substitute 1/2 for x in our equation.

[tex]f(\frac{1}{2}) = 6(9)^{\frac{1}{2} }[/tex]

Then we can solve.

[tex]9^\frac{1}{2}[/tex] = 3, which means our equation is now:

[tex]f(\frac{1}{2}) = 6(3)[/tex]

6 * 3 = 18, so now we have:

[tex]f(\frac{1}{2}) = 18[/tex]

Answer:

7 not 7 full rows though

Step-by-step explanation:

Answer:

LM

Step-by-step explanation:

Answer: c.  x + 3

Step-by-step explanation:

The first equation tells us the total area of the cloth.  The second is the area of each piece.  Divide the total area by the piece area to determine how many individual pieces can be made.

(x^3 + 27) can be factored into:

(x+3)(x^2 - 3x + 9)   [Not easy, but true]

[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)

(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)

Answer:

about 1 cup maybe less

Step-by-step explanation:

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x               - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

Answer:

-3,3,7 for Acellus

that's it

Answer:

75%

Step-by-step explanation:

Here, 6/8 = 6/8×100%

= 75%.

Answer:

75

Step-by-step explanation:

6/8×100%= 75(as we are expressing in percentage so multiplting by 100

Answer:

gud luk 4 class

Step-by-step explanation:

volume = all the sides times together

surface area = all side's area plus together

Answer:

NoShutterStock gives the correct value:  55 miles/hr (mph)

I'll only add that distance, d, is the product of time, t, and speed, s.

 (Distance, d) = (Time, t x) (Speed, s)

   d = ts

   330 miles = (6 hours)*(s)

s = 330 miles/6 hours, or 55 mph

Step-by-step explanation:

The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.

Given that, find the constant of proportionality and write an equation for the following proportional relationship.

"You drove 330 miles in 6 hours."

Here, the constant of proportionality =

330/6 = 55 miles per hour

The equation for the proportional relationship =

y = 55x

Where, y is total distance and x is hour of travelling.

Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

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Answer:

I think it would be A??? idfk man

Answer:

19.3%

Step-by-step explanation:

There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375  

0.19375 = 19.3%

Answer: (x+ 13, y+13)

Step-by-step explanation: