If you mix 0.02 litres of squash with 100 ml of water to make a drink, what is the total volume of drink that could be made with 1 litre of squash?
Give your answer in litres.

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

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ7

Answer:

Step-by-step explanation:

(a - b)² = a² -2ab + b²

Here, a = x and b = 1

(x -1)² = x² - 2 * x *1 + 1²

        = x² - 2x + 1

[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]

[tex]\sf \longmapsto(x+1)(x+1)[/tex]

[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]

[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]

[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]

[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]

Answer:

I think it would be A??? idfk man

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:

slope intercept is y=mx+b where m is the slope and b is the y intercept

so the slope is 2 and the y intercept is 5 so the equation is y=2x+5

Step-by-step explanation:

Answer: (x+ 13, y+13)

Step-by-step explanation:

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

Answer:

19

Step-by-step explanation:

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

Answer:

-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6

All the numbers

Step-by-step explanation:

A rational number is a number that can be expressed as in a fraction or decimal (m/n form)

All numbers above can be defined.

A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6

-100 = -100/1

It is in the form of p/q.

It is a rational number.

-14.5 = -145/10

It is in the form of p/q.

It is a rational number.

-2 = -2/1

It is in the form of p/q.

It is a rational number.

-2/3 = -2/3

It is in the form of p/q.

It is a rational number.

0 = 0/1

It is in the form of p/q.

It is a rational number.

19 = 19/1

It is in the form of p/q.

It is a rational number.

15 = 15/1

It is in the form of p/q.

It is a rational number.

20 = 20/1

It is in the form of p/q.

It is a rational number.

1/6

It is in the form of p/q.

It is a rational number.

We see that all the numbers given are rational numbers.

Thus,

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ2

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:

A

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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:

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:

the sale price of tv is 1620

Step-by-step explanation:

9/100 because full percentage is from 100%

9/100 x 18000

cut 00 from 18000

we will cut it because 100 also have two 0 and 18000 we will cut two 0

next it will be = 9/1 x 180 one is nothing no so it will be

9 x180 answer = 620

plz mark me as brainliest

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:

69

Step-by-step explanation:

420

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:

I cant see the numbers...

Step-by-step explanation:

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

Answer:

7 not 7 full rows though

Step-by-step explanation:

Answer:

gud luk 4 class

Step-by-step explanation:

volume = all the sides times together

surface area = all side's area plus together

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

Read more about areas and perimeters at:

https://brainly.com/question/11957651

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.

Learn more about proportionality, click;

https://brainly.com/question/29126727

#SPJ2

Answer:

about 1 cup maybe less

Step-by-step explanation:

Answer:

-3,3,7 for Acellus

that's it

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:  6.33 cups of flour

Step-by-step explanation:

The ratio of cups of cashews to cups of flour is 4:5.  We can set this as a ratio:  (4 cups cashews)/(5 cups flour).

If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio:  (5 cups fluor)/(4 cups cashews)

(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.