In parallelogram LMNO, if m A. 20°
В.28°
C.8°
D.40°

Answer:

1. Ursula = y

2. Alma = y - 3 (3 meters behind)

3. Carly = y - 6 (3 meters behind Alma)

4. Lani = y - 8 (2 meters behind Carly)

5. Isabel = y - 10 (2 meters behind Lani)

6. Betty = y - 12 (2 meters behind Isabel)

Step-by-step explanation:

We are going to use different letters to represent the meters run by the girls:

Alma beat isabel by 7 meters, if A is x then Isabel is x - 7

A = x

I = x -7

Ursula beat  Betty be 12 meters. Let's call Ursula y, then:

U  = y

B = y - 12

Alma finished 5 meters ahead of Lani but 3 meters behind Ursula. Let's call Lani z.

L = z

A = z + 5 = y - 3 (since Ursula was "y" and Alma finished 3 meters behind Ursula)

We're going to leave Carly until the end since she finished halfway between the first and the last girls.

Now we can see that Alma is represented by equations with 3 different letters:

A = x = z + 5 = y -3

Therefore we know that

x = y -3

⇒A = y - 3

And we'll proceed to express all the other girls distances in terms of "y"

We know that Isabel = x - 7. Therefore we can substitute x = y - 3 and we get that

Isabel = x - 7 = (y - 3) - 7 = y - 10

⇒I = y - 10

We already have Ursula and Betty expressed in terms of y.

⇒U = y

⇒B = y - 12

Now let's go back to Alma equation (A = x = z + 5 = y -3) and we see  that:

z + 5 = y - 3.

Therefore z = y - 3 - 5 = y - 8.

⇒z = y - 8

We have Lani left who was L= z = y - 8

⇒ L = y - 8

The first girl would be Ursula = y

And the last girl would be Betty = y - 12.

⇒Therefore, Carly finished halfway them both and that would be C = y - 6

So, the order in which they arrived was:

Ursula = y

Alma = y - 3 (3 meters behind)

Carly = y - 6 (3 meters behind Alma)

Lani = y - 8 (2 meters behind Carly)

Isabel = y - 10 (2 meters behind Lani)

Betty = y - 12 (2 meters behind Isabel)

Please Mark as brainliest if i got it correct

Part A: The final volume of the new solution is 150 mL.

Part B: The concentration of the new solution is 0.125 M.

The volume of liquid is defined as the amount of liquid in a three-dimensional container. Volume is the quantity of three-dimensional space occupied by a liquid.

Given that the molarity of NaCl solution is 0.150 M, the volume of NaCl solution is 125 mL, the volume of water added is 25 mL.

Part A:

The final volume of the new concentrated solution is calculated as given below.

[tex]V = 125 + 25[/tex]

[tex]V = 150 \;\rm mL[/tex]

The final volume of the new solution is 150 mL.

Part B:

The mole of the NaCl solution is calculated using the molarity formula.

Molarity of NaCl solution = 0.150 M

Volume of NaCl solution = 125mL or 0.125 L

Molarity = Mole of NaCl solution / Volume of the NaCl solution

[tex]0.150 = \dfrac {Moles}{Volume}[/tex]

[tex]0,150 = \dfrac {Moles}{0.125}[/tex]

[tex]Moles \;= 0.01875[/tex]

The moles of NaCl solution is 0.01875 mole which remains same when water is added. Thus, the molarity of the new concentration can be calculated as given below.

Molarity = Moles of NaCl / Volume of new solution

Molarity = [tex]\dfrac {0.01875}{0.150}[/tex]

Molarity = 0.125 M

Hence we can conclude that the concentration of the new solution is 0.125 M.

To know more about the volume, follow the link given below.

https://brainly.com/question/24650225.

Answer:

Step-by-step explanation:

The given line has a slope m = 4.

We know parallel lines have equal slopes.

Use point - slope equation and substitute the coordinates of the given point to get:

Answer:

x = y = 64°

Step-by-step explanation:

It is an isosceles triangle ...

[tex]x=y=\frac{180-52}{2} =\frac{128}{2} =64[/tex]

Hope this helps

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

70 inches²

Step-by-step explanation:

We can break this shape up into 5 different shapes.

Two triangles, and three rectangles.

The three rectangles will be A = L * W and are all the same size,

A = L * W

A = 3(L * W)

A = 3(10 * 2)

A = 3(20)

A = 30 inches²

Now, we need to find the area for the two triangles. Usually, you would take the base times the height and divide by two, but since we have two triangles of the same size we do not need to divide by two,

A = B * H

A = 10 * 4

A = 40 inches²

Last, we will add the two areas for the triangles and rectangles together,

40 inches² + 30 inches² = 70 inches²

Sample size is the number of subjects that are included in research or survey. The sample space for this action is CC, CA, AC, and AA.

Sample size can be defined as the number of subjects that are included in research or survey.

As it is given that there are two customers, and each of the customers buys any one of the two tickets, a classic ticket (C), or an autograph event ticket (A).

Now, as each of the customers has two choices, therefore, the sample space for this action can be written as,

CC - When both of the customers buy a classic ticket.

CA - When the first customer buys a classic ticket(C) while the other buys an autograph event ticket (A).

AC - When the first customer buys an autograph event ticket (A) while the other buys a classic ticket(C).

AA - When both of the customers buy an autograph event ticket (A).

Hence, the sample space for this action is CC, CA, AC, and AA.

Learn more about Sample Size:

https://brainly.com/question/25894237

Answer:

5390

Step-by-step explanation:

11x14x35 = 5390

Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = ([tex]\sqrt{12}[/tex] )² + ([tex]\sqrt{12}[/tex] )² [ the 2 legs are congruent ]

x² = 12 + 12 = 24 ( take square root of both sides )

x = [tex]\sqrt{24}[/tex] = [tex]\sqrt{4(6)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]

Answer:

(3, -1) is your answer

Step-by-step explanation:

x − 3y = 6

2x + 2y = 4
      |
x - 3y=6

x+y=2

Answer:

enough for you and you to have to do

Answer:

i think there is missing context?

Answer:

330 seconds

Step-by-step explanation:

60(5.5)

Answer:

Yes

Step-by-step explanation:

since it is -21/21 you can divide it by 21, -21/21=-1, 21/21=1

hence, -1/1

-1/1=-1

Answer:

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

Step-by-step explanation:

brainliest please!!!!

Answer:

it's answer is 1.34 but it can be wrong also

Answer:

$20

Step-by-step explanation:

Fernando paid $1.40 as sales tax and the sales tax rate is 7%.

We can write,

Total cost * 7% = 1.4

Total cost = 1.4/0.07 SInce 7% = 0.07

So, total cost = $20

Answer: Triangle 3

Step-by-step explanation:

The angle measures have to add to 180 degrees, so triangle 3 is impossible as it already exceeds this sum with the 2 given angles.

Answer:

HI = [tex]4\sqrt{41}[/tex] , IJ = [tex]4\sqrt{41}[/tex]

Step-by-step explanation:

The number of AB spaces is 15, the BC is 20, and the CD is 15. Looking at the given length, you can see that it is twice the number of cells.

If you draw a line perpendicular to the line HG in I, it becomes a right triangle. The lengths of HI and IJ can be calculated using Pythagoras on a right triangle.

Suppose that the vertical line is L.

HL = 10

IL = 8

(HI)² = (HL)²+ (IL)² = 10²+8²=164

HI = [tex]2\sqrt{41\\[/tex] -> (It's twice the number of spaces.) -> HI = [tex]4\sqrt{41}[/tex]

IJ can be obtained in the same way.

IJ = [tex]2\sqrt{41\\[/tex] -> (It's twice the number of spaces.) -> IJ = [tex]4\sqrt{41}[/tex]

Answer:

x = 8 - y

Step by step explaination:

==>x + y = 8

==> x = 8 - y

==> substract the value

==> Done

Answer:

=> Cos theta = Base /Hypotenuse

=> Cos Z = 30/50 => 3/5

★ So, Option B) 3/5 is a correct answer.

_______________________

=> Cos theta = Base/Hypotenuse

=> Cos X = 12/37

★ So, option D) 12/37 is a correct answer.

________________________

=> Sin theta = Perpendicular/Hypotenuse.

Sin Z = 16/20 => 4/5

★ So, option C) 4/5 is a correct answer

=> Sin theta = Perpendicular/Hypotenuse

Sin Z = 48/50 => 24/25

★ So, option A)24/25 is correct answer

________________________

Answer:

=−66132x

Step-by-step explanation:

((7)(87)−(12)(9))(x)((−3)(44))

=−66132x

Answer:

The answer is the last option or 6.

Over 2 days, 12 likes were added.

12/2 is 6.

Over an additional 3 days, 18 likes were added.

18/3 is 6.

So, the average rate of change is 6.

Answer:

Step-by-step explanation:

x + 70 = 180   {Linear pair}

       x = 180 - 70

       x = 110

y + 82 = 180 {linear pair}

      y = 180 -82

      y = 98

x - 4 = 110 - 4 = 106

2y - 40 = 2*98 - 40

            = 196 - 40

            = 156

Answer:

0.05 as decimal

1/20 as fraction

Step-by-step explanation:

Flip the reciprocal and multiply to get the answr you make the 4 into a fraction by doing this ; 4/1 and flip it like this; 1/4. Then multiply it to get 1/20

Have an amazing day!

Please rate and mark brainliest!

Answer:

The equations in the system have different intercepts so there are two solutions

Answer:

You need 3-4 tests with at least 10pts with a 90-100%

Step-by-step explanation:

I have an A

Answer:

it depends on how much your quizzes and tests are worth but it looks very close to an A so I'd say maybe 1 quiz