5B. Using the balanced seesaw shown, find the ratio of lengths a/b in lowest terms.

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Step-by-step explanation:

I just got it on a pex. JK=RS. KL=ST. K=S. those are the answers

The congruences that are true by CPCTC are:

∠L = ∠R

KL ≅ ST

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

If ΔJKL = ΔRST, then the corresponding parts of the triangles are congruent.

CPCTC stands for "corresponding parts of congruent triangles are congruent,"

So we can use this property to determine which congruences are true.

∠L = ∠R:

This is true by CPCTC because they are corresponding angles in congruent triangles.

JK ≅ RS:

This is not true by CPCTC because they are not corresponding sides in congruent triangles.

KL ≅ ST:

This is true by CPCTC because they are corresponding sides in congruent triangles.

JL ≅ RS:

This is not true by CPCTC because they are not corresponding sides in congruent triangles.

∠L = ∠S:

This is not necessarily true just by the fact that ΔJKL = ΔRST.

It could be true in some cases, but it is not guaranteed by CPCTC.

Therefore,

The congruences that are true by CPCTC are:

∠L = ∠R

KL ≅ ST

Learn more about triangles here:

https://brainly.com/question/25950519

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Answer:

  = -1/2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (11-10)/(8-10)

    = 1/-2

  = -1/2

There are 5 numbers that can be used.

The first digit can be 1 of 5

The second digit can be 1 of 4

The third digit is 1 of 3

The fourth digit is 1 of 2

The fifth digit is 1 of 1

Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120

Answer:

[tex] \boxed{ \tt{x = 4}}[/tex]

Step-by-step explanation:

[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]

Answer:

It weighs 850 pounds

Step-by-step explanation:

Have a nice day

Answer:

A=3

B=3

C=2.5

D=5

E=1

F=2

G=4

Here you go! Happy to help!

Step-by-step explanation:

Answer:

the answer is 9√3

sin60°= p/h

√3/2 = x/18

by cross multiplication we get

18√3=2x

therefore: x=9√3

Answer:

I think it's 12√3

I don't know if I'm correct

Answer:

y=16 bc 17 -16 =1 which if u do backward equals the same thing

and all together is

18y+1 and just leave it like that dont touch the numbers or anything bc you cant take a 1 and join it with a variable

you can only join numbers with numbers and variables with variables

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

Answer:

-32????

Step-by-step explanation:

I don't see an actual question here, so my three answers that I got from this post are:

-32

<32

>-32

Answer:

96kg

Step-by-step explanation:

3/4 of 64 is 48

2 × 48 = 96kg

Answer:

4 trucks per hour

Step-by-step explanation:

You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

[tex]m=\dfrac{0-1}{0-(-2)}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].

Answer:

its 2/3

Step-by-step explanation:

Function:

A. x times 60 = the amount of squirrels in that year

Answer

B. 6 X 60 = 360

Step-by-step explanation

Years   | Squirrels

______________

 1          |       60

---------------------------

   2      |       120

-------------------------

   3      |        180

-------------------------

  4      |        240

-------------------------

   5     |     300

-----------------------

   6    |     360

Answer:

2

Step-by-step explanation:

Answer: 505

Step-by-step explanation:

I searched it up

Answer:

The answer is below

Step-by-step explanation:

Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.

Given that:

Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3

Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]

Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]

a)

Given the ball is red, the probability it was selected from the first box is:

[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]

b)

Given the ball is red, the probability it was selected from the second box is:

[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]

c)

We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.

The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.

Given :

a) The probability that the ball selected is red and it is selected from the first box is:

[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_1|R)=\dfrac{1}{2}[/tex]

b) The probability that the ball selected is red and it is selected from the second box is:

[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_2|R)=\dfrac{1}{2}[/tex]

c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

1

Step-by-step explanation:

Simplify 3/9 by 3 -> 1/3

Now that both fractions have the same denominator, you can add them.

1/3 + 2/3 = 3/3 or 1

Answer:

26

Step-by-step explanation:

182 pencils devided by 7 identical boxes

182÷7

=26 pencils are in each box

Answer:

15 pencils in each box

Step-by-step explanation:

If each box has 11 pens,then there are 77 pens

In total 182 pencils and pens

182-77 = 105 (105 pencils)

105/7 = 15

15x7 = 105

11x7 = 77

 105 +77 = 182

Answer:

Step-by-step explanation:

[tex]\text{To find :} \\ \\ 1.) \ \ \text{More than 20} \\ \\ 2) \text{Less than 30 } \\ \\ 3) \ \text{Within the range of }( \mu - \sigma , \mu +\sigma)[/tex]

[tex]\ \ \ Since \ \ X \ \text{follows a poisson distribution and;} \\ \\ X\sim Poisson (0.57) per \ gram \\ \\ X \sim Poisson (28.5) \ per \ 50 \ grams \\ \\[/tex]

[tex]1) \ \ \ \text{The probability } P(X>20) = \sum \limits ^{50}_{x=21} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{ = 0.9389}[/tex]

[tex]2) P( X<30) = \sum \limits ^{29}_{x=0} \dfrac{e^{-28.5}\times 28.5^x}{x!} \\ \\ \mathbf{=0.5861}[/tex]

[tex]\text{3) Since then mean}\ \mu = 28.5 \\ \\ \sigma =\sqrt{28.5} = 5.339 \\ \\ \mu - \sigma = 28.5 -5.339= 23.161 \\ \\ \mu + \sigma = 28.5 + 5.339 = 33.839[/tex]

∴

[tex]P(23.161 < X< 33.839) = \sum \limits ^{33}_{24} \dfrac{e^{-28.5}\times 28.5^x}{x! } \\ \\ = P(X\le 33) - P( X \le 23) \\ \\ = 0.82678 - 0.1750 \\ \\ \mathbf{= 0.6516}[/tex]

Answer:

226 1/8

Step-by-step explanation:

Substitute the measurements of the container into the formula.

The amount of cardboard Rajek can fit in the container at one time is  cubic feet.

The total surface area of the container is 9L + 9W + 50 1/4

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the total amount of cardboard that can fit in the container at one time, we need to find the surface area of the container.

The container has a rectangular base with an area of 50 1/4 square feet.

Let's assume the length of the base is L and the width is W.

We know that:

L x W = 50 1/4

We also know that the height of the container is 4(1/2) feet, which is equivalent to 9/2 feet.

The container has two identical sides, which are rectangles with a length of L and a height of 9/2 feet.

The surface area of one side is:

L x (9/2) = (9/2)L

The container also has two identical ends, which are rectangles with a width of W and a height of 9/2 feet.

The surface area of one end is:

W x (9/2) = (9/2)W

Finally, the container has a top, which is a rectangle with a length of L and a width of W.

The surface area of the top is:

L x W

To find the total surface area of the container, we add up the surface area of each of these parts:

Total surface area = 2(L x (9/2)) + 2(W x (9/2)) + (L x W)

Simplifying this expression, we get:

Total surface area = 9L + 9W + LW

We know that L x W = 50 1/4, so we can substitute this into the equation:

Thus,

The total surface area of the container is 9L + 9W + 50 1/4

Learn more about rectangles here:

https://brainly.com/question/15019502

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Answer:

(60) + 9 = 69

Step-by-step explanation:

HOPE I HELPED, IM NEW

Answer:

Since if you know your multiplication tables 10x6= 60+9=69

Step-by-step explanation:

Answer 69

9514 1404 393

Answer:

  59°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠N +∠L = 180°

  (a +16) +(a -18) = 180

  2a = 182 . . . . . . . . . . add 2

  a = 91 . . . . . . . . . . . . divide by 2

Then the measure of angle M is ...

  ∠M = (a+30)° = (91 +30)° = 121°

and angle K is its supplement.

  ∠K = 180° -121°

  ∠K = 59°

Answer:

d 16 minutes

Step-by-step explanation:

1 mile equals 8 minutes

2 miles equals 16 minutes