Please could someone help!

Answer:

61

Step-by-step explanation:

Definition of conguency

*figure on the right is rotated a bit

Answer:

38

Step-by-step explanation:

Using the five number summary it is 38 since it is 75 percent of the sample

You have the correct answer. Nice work

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Explanation:

If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.

That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.

Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.

The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)

Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.

Therefore, the third quartile is 38.

Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = [tex]\frac{p}{3}[/tex]

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = [tex]\frac{p}{3}[/tex]

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

Answer:

x=-1/9; -1/9; (-1/9,0)

(each one is a different way to write the answer)a

Step-by-step explanation:

Zeros of a function are when the y-value of a point on a graph is equal to 0. Plugging in 0 for y in this equation of the function we get 0=-9x-1, which we can solve by adding 9x to both sides of the equation to get 0+9x=-9x+9x-1, or 9x=-1, and divide both sides by 9 to get x=-1/9

Answer:

10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.

To roll a 2, 3, and 5 in order, which are independent events,

the required probability will be

= 1/6 x 1/6 x 1/6

= 1/216

11. Using Pythagoras theorem,

8² + B² = 15²

B =√161

=12.689

13. Area of trapezoid= (upper base+ lower base)(height)/2

= (16+23)(3)/2

= 58.5 m²

Answer:

Answers:

Question #10:

Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: [tex]\frac{1}{16}[/tex].

Question #11:

Since the triangle is a right triangle we can use the pythagorean theorem:

[tex]B^{2}[/tex] + [tex]8^{2}[/tex] = [tex]15^{2}[/tex]

Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or [tex]\sqrt{161}[/tex].

Question #12:

First we can start with finding the area of the rectangle in the trapezoid:

3 · 16 = 48

Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:

3 · 5 = 15

[tex]\frac{15}{2}[/tex] = 7.5

7.5 + 48 = 55.5

Answer:

No solution

Step-by-step explanation:

If you graph this system of equations, they do not intersect in any way and therefore there is no solution.

Answer:

[tex] \frac{s}{100r} [/tex]

Step-by-step explanation:

s% of 1/r

=

[tex] \frac{s}{100} \times \frac{1}{r} [/tex]

[tex] \frac{s}{100r} [/tex]

Answer:

162°

Step-by-step explanation:

This is a hexagon, so the sum of the angle measures will be 720°

Add up the measures

40x=720

Divide

X=18

Multiply by 9 to find angle of D

9*18=162

The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.

Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.

The sum of interior angles of an n side polygon = (n-2)180°.

We are given a 6 side polygon ABCDEF.

∴ n = 2.

The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.

The angles are 2x, 9x, 2x, 9x, 9x, and 9x.

Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.

This sum = The obtained sum

or, 40x = 720°

or, x = 720°/40 = 18°.

∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.

Learn more about Polygons at

https://brainly.com/question/1592456

#SPJ2

Answer:

12 [tex]units^{2}[/tex]

Step-by-step explanation:

First Figure: 1/2*2*2 = 2

Second Figure: 2*2 = 4

Third Figure: 1/2*6*2 = 6

2+4+6 = 12

So the area is 12 [tex]units^{2}[/tex]

Answer:

a) About 2261.95

b) $11.94

Step-by-step explanation:

a) The lateral area of a cone can be calculated via A=πrl

b) Simple do 2261.95/400 and round to the nearest 1 to get 6.  Then multiply 6 by 1.99 to get 11.94

Hope it helps <3

Answer:

   -4AB+2A2+52

Step-by-step explanation:

1. FIRST WE PUT THE LIKE TERMS TOGETHER (REARRANGE THE PROBLEM)

AB-5AB-A2+3A2+42+10

2. SIMPLIFY ALL LIKE TERMS

-4AB+2A2+52

YOUR DONE!!!!!!

HOPE I HELPED

CAN I GET BRAINLIEST PLS? (DESPERATELY TRYING TO LEVEL UP)

         -ZYLYNN JADE

Answer:

4^2

Step-by-step explanation:

4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!

Answer:

the answer is

Step-by-step explanation:

4 to the power of 2

you add 4 and 3 which is 7

and 7 subtract 5 which is

4 to the power of 2

Answer:

Step-by-step explanation:

the first answer is D

the second is B

Answer:

P(black) = 0.2

Step-by-step explanation:

Total number of rings

= 6 yellow + 11 blue + 3 black

= 20 rings.

P(black) = #black/#all = 3/20 = 0.15

Most people would round 0.15 to the nearest tenth as 0.2

It is not desirable in this cas to round to the tenth due to the 33% round-off error, but, what can you do.

Answer:

A

Step-by-step explanation:

When multiplying numbers with exponents, the exponents add together.  This means that the correct answer is letter A.

Answer:

m=3, n=5

Step-by-step explanation:

(3+√5)² = (3+√5)(3+√5) =

3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5

Answer

A or B

Step-by-step explanation:

the lowest is 1/7 = 5/35 = 10/70

the highest is 1/5 = 7/35 = 14/70

so answer A and B are OK

C and D are out of range

Answer:

C

Step-by-step explanation:

The only like terms are 6 and -5. 6 - (-5) = 11 so the answer is 4x² - 2x + 11.

Answer:

C. 4x² -2x + 11

Step-by-step explanation:

(4x² + 6) - (2x - 5)

→ Remember the minus outside the (2x - 5) means the minus inside changes to a plus

(4x² + 6) - (2x + 5)

→ Remove the brackets

4x² + 6 - 2x + 5

→ Add the whole numbers together

4x² + 11 - 2x which is equivalent to the option c 4x² -2x + 11

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a [tex]y = 2^x[/tex]

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. [tex]y = -2^x[/tex]

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. [tex]y = (3)(2^x)[/tex]

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = [tex]\sqrt{33}[/tex] .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = [tex]\sqrt{44}[/tex] .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

[tex]\sqrt{(44)}^2[/tex] = [tex]x^2[/tex] + [tex]\sqrt{33}^2[/tex],

x = [tex]\sqrt{11}[/tex] ... And [tex]\sqrt{11}[/tex] squared is 11, making the area of this square 11 units².

Answer:

Step-by-step explanation:

If the triangle is right then area of square adjacent to the longest side is equal to sum of areas of squares adjacent to its other sides. (As in Pythagorean theorem)

So:

    33 units² + ? =  44 units²

     ? =  44 units² - 33 units²

     ? = 11 units²

Answer:

1) Formula for experimental probability:

Experimental Probability = [tex]\frac{No.OfFavourableOutcomes}{No.OfPossibleOutcomes}[/tex]

2) Any performance or a random experiment is called a trial.

Answer:

[tex]\boxed{26 pupils}[/tex]

Step-by-step explanation:

Girls for English:

20 + English + 12 = 36

English + 32 = 36

English = 36-32

English = 4 (For girls)

Total for Science:

12+7 = 19

Total for English:

25 + English + 19 = 70

English + 44 = 70

English = 70-44

English = 26 pupils

There are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

The table shows data about the favorite subject of some of the students.

The following things can be observed from the given table:

So, the total number of students of English subject can be calculated as,

[tex]70-25-19=70-44\\=26[/tex]

So, out of 26 students, 6 are girls and 20 will be boys who love English subject.

Therefore, there are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

For more details, refer to the link:

https://brainly.com/question/21976671

Answer:

1:00 PM

Step-by-step explanation:

According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.

at 1:00 PM, its 5 minutes (odd),  clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.

Answer:

Step-by-step explanation:

2/3(6y + 9)

2/3(6y) = 4y

2/3(9) = 6

=4y + 6 (A)

Answer:

x can take any value and are viable in this situation if and only if it is a positive number

Step-by-step explanation:

We know that the area of a rectangle is given by:

A = x * y

So if we replace we have:

12 ≤ x * y ≤ 36

We divide by y, and we have:

12 / y ≤ x ≤ 36 / y

Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:

 12 ≤ x ≤ 36

In the event that y is equal to 2:

 12/2 ≤ x ≤ 36/2

 6 ≤ x ≤ 18

Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.

The image of the function is missing, you can see it at the end of the answer.

For a rectangle of length L and width W, the area is given by:

A = L*W

We will find that the solution is: 3/2 ≤ x ≤ 11/2

Here we have:

L = 3

W = 2x + 1

Then the area equation is:

A = 3*(2x + 1) = 6x + 3

And we also have the inequality:

12 ≤ A ≤ 36

Replacing A with the equation we get:

12 ≤ 6x + 3 ≤ 36

Now we solve this for x:

12 - 3 ≤ 6x ≤ 36 - 3

9  ≤ 6x  ≤ 33

Now we divide both sides by 6.

9/6 ≤ x ≤ 33/6

3/2 ≤ x ≤ 11/2

If you want to learn more, you can read:

https://brainly.com/question/1468729

Answer:

angle 3 and angle 4 are equal because the diagonals/2 are equal. Angle 4 equals angle 1 due to opposite interior angles thereom. 90 degrees minus 37=53 degrees which is angle 2. Since angle 2 is equal to the angle GKH, 53+53=106 and 180-106=74 degrees, and due to vertical angles, angle 7 is 74 degrees.

Answer:

correct option is A: [tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

Step-by-step explanation:

If the segment DE was parallel to the segment BC, we could use the Thales' theorem, where the ratio of one segment created in one side of the triangle over the whole side is the same ratio of one segment created in the other side over the whole side:

[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]

Using the values given (AD = 4, AB = 6+4=10, AE = 6, AC = 8+6=14), we would have:

[tex]\frac{4}{10} = \frac{6}{14}[/tex]

[tex]4*14=6*10[/tex]

[tex]56=60[/tex]

This sentence is false, therefore the segments DE and BC are not parallel.

The inequation to prove this is the first one we used, using the "not equal" symbol:

[tex]\frac{4}{10} \neq \frac{6}{14}[/tex]

So the correct option is: A

Answer:

[tex] m\angle A = 72\degree \\

m\angle B = 108\degree [/tex]

Step-by-step explanation:

ABCD is a parallelogram.

Since, opposite angles of a parallelogram are congruent.

[tex] \therefore m\angle A = m\angle C\\

\therefore (5y-3)\degree = (3y+27)\degree \\

\therefore 5y - 3= 3y +27\\

\therefore 5y-3y = 27+3\\

\therefore 2y = 30\\\\

\therefore y = \frac{30}{2} \\\\

\therefore y = 15\\

\because m\angle A = (5y-3)\degree \\

\therefore m\angle A = (5\times 15-3)\degree \\

\therefore m\angle A = (75-3)\degree \\

\huge{\red {\boxed {\therefore m\angle A = 72\degree}}} \\\\

\because m\angle A + m\angle B = 180\degree(opposite \: \angle 's\: of\:a\: \parallel ^{gm}) \\

\therefore m\angle B = 180\degree - 72\degree \\

\huge{\purple {\boxed {\therefore m\angle B = 108\degree}}} [/tex]

Answer:

20:27

Step-by-step explanation: