Need Help With this question

22. 30 degrees because line DB bisects(meaning cuts in half) angle ABC so DBC should be 30 degrees because 30+30 is 60 which is what angle ABC is.

23. 60 degrees because if we assume that it is a parallelogramand that the opposite angle are congruent.

24. 120 degrees because a quadrilatteral has sides that will equal to 360 degrees, and I said that a parallelogram will have its opposite angles congruent we take away 120 from 360 (from the previous angles ABC and BCD) we end up with 240, we divide 240 by 2 and end up with 120 degrees

25. 60 degrees. I found that angle DCB is 120 degrees so angles DCB and DCE are supplementary(add up to 180 degrees) and we subtract 120 from 180 which is 60 degrees.

26. 60 degrees vertical to angle DCE.

27. 120 degrees supplementary to DCE

Answer:

Answer:

The y in the second equation

Step-by-step explanation:

hope this helps

Answer:

650

Step-by-step explanation:

1st row has 1 ball

2nd row has 4 balls

3rd row has 9 balls

4th row has 16 balls

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

5th row has 25 balls

6th row has 36 balls

7th row has 49 balls

8th row has 64 balls

9th row has 81 balls

10th row has 100 balls

11th row has 121 balls

12th row has 144 balls

If we add up all those, we get total number of balls

please mark me brainliest!

Answer:

35

Step-by-step explanation:

We know that the mean is 15 and the median is 18. In order to solve this problem, we can work backwards. First, image the scenario:

15, 15, 15, 15, 15.

We want the median to be 18, we we can add 3 to the middle number and then subtract three from the first number (in order to keep the mean constant). Thus, we have:

12, 15, 18, 15, 15.

Now, we can subtract and add in order to find the largest number. For instance, we can subtract 11 from 12 and add that 11 to the last number:

1, 15, 18, 15, 26

Next, we can subtract 13 (not 14 because each of the numbers should be different) from the second number and add that to 26:

1, 2, 18, 15, 39.

Finally, the most we an do is to add 4 to the fourth number and subtract 4 from 39 because we want to keep the median 18. Thus:

1, 2, 18, 19, 35.

Each value is distinct.

The largest possible value is 35.

Answer:

35.

Step-by-step explanation:

Since the mean of the five different positive integers is 15, you can assume that they all add up to be 5 * 15 = 75. The median is 18, which means that the rest of the four numbers add to be 75 - 18 = 57, with two numbers higher than 18 and two numbers lower.

You want to find the highest possible values for the maximum, you want to have very low minimums (so you can keep the maximum high). Since the question asks for different positive integers, the lowest numbers you can have are 1 and 2. So far, you have 1, 2, and 18 in your data set, so you have 57 - 3 = 54 to work with for your maximum.

You still want the highest value for the largest of the integers, so the fourth number will be 19. That is because that is the lowest you can go that is still higher than the median. Then, in your data set, you will have 1, 2, 18, and 19, which add up to be 40.

Since all five numbers add to be 75, the maximum will be 75 - 40 = 35.

To make sure this is correct, check your work. 1 + 2 + 18 + 19 + 35 = 75. 75 / 5 = 15. The mean is 15. The middle number is 18, so the median is 18. All five are different positive integers.

And there you have it! The maximum possible value of the largest of these five integers is 35.

Hope this helps!

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

Answer:

The answer is 252

Step-by-step explanation:

Answer:

The area of a rectangle is the product of the length and the width of the rectangle.

The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,

Answer:

To find the area you need both the length and width

A= lw

Practically it doesn't matter which one you call length or width  as long as both of them used in the calculation. The product of them doesn't change.

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms

5. 7x = 105 --> by C.L.T. or Combine Like Terms

6. x = 15 --> by inverse operations (division)

Hope this helps!

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

Answer:

19.625 cm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = 3.14 * 5^2 * .25

V =19.625 cm^2

Answer:

Her grocery bill is $4.62

Step-by-step explanation:

The first step is to multiply 6 and .43 to get how much it was for all of the apples.

Then the next step is to do the same thing with the oranges.

Then the last step is to add the two together.

Answer:

$4.62

Step-by-step explanation:

Answer:

Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.

Answer:

option 2

Step-by-step explanation:

Answer:

B. Quadratic Function

Quadratic Term: 15x^2

Linear Term: 9x

Constant Term: -6

Step-by-step explanation:

1. F.O.I.L (firsts, outers, inners, lasts) the function

BREAK APART:       3x(5x - 2)    and    3(5x - 2)

(fx) = 15x^2 - 6x + 15x - 6

f(x) = 15x^2 + 9x - 6

There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.

Answer:

A. Positive

Step-by-step explanation:

Since 48 is way larger than 39, we know that if we subtract 39 from 48, we will still get a positive number.

Answer:

A. Positive

Step-by-step explanation:

Im not very good at explaining. I hope I helped :)

Answer:

I do not have enough time to put them in order if you don't mind but i can list the prices.

Step-by-step explanation:

each piece of squid is 1.25

each piece of tuna is 3.25

each piece of crab is 2.00

hope this helps <3

Answer:

A

Step-by-step explanation:

Answer:

The third integer is 27

Step-by-step explanation:

Given

Represent the consecutive odd numbers with [tex]T_1, T_2; and\ T_3[/tex]

Since they are consecutive odds, then

[tex]T_2 = 2 + T_1[/tex]

[tex]T_3 = 2 + T_2[/tex]

From the first statement in the question, we have that

[tex]T_1 + T_3 = 5 T_2 - 75[/tex]

Required

Find the third integer

Recall that

Substitute [tex]T_2 = 2 + T_1[/tex] in [tex]T_3 = 2 + T_2[/tex]

[tex]T_3 = 2 + 2 + T_1[/tex]

[tex]T_3 = 4 + T_1[/tex]

Substitute [tex]T_3 = 4 + T_1[/tex] and [tex]T_2 = 2 + T_1[/tex] in [tex]T_1 + T_3 = 5 T_2 - 75[/tex]

[tex]T_1 + 4 + T_1 = 5(2 + T_1) - 75[/tex]

Open Brackets

[tex]T_1 + 4 + T_1 = 10 + 5T_1 - 75[/tex]

Collect like terms

[tex]T_1 + T_1 + 4 = 5T_1 - 75 + 10[/tex]

[tex]2T_1 + 4 = 5T_1 - 65[/tex]

Collect like terms

[tex]2T_1 - 5T_1 = - 65 - 4[/tex]

[tex]-3T_1 = - 69[/tex]

Divide both sides by -3

[tex]\frac{-3T_1}{-3} = \frac{- 69}{-3}[/tex]

[tex]T_1 = 23[/tex]

Recall that [tex]T_3 = 4 + T_1[/tex]

[tex]T_3 = 4 + 23[/tex]

[tex]T_3 = 27[/tex]

The third integer is 27

g(x) = (x - 5)^2 + 2x^3

At the root this function is equal to 0

(x - 5)^2 + 2x^3= 0

Rearrange:

(x - 5)^2 = -2x^3

Now if you plot these two functions you need to check how many times they intersect. For this you do not need to be precise just scetch approximately.

If you do that, you will see that they meet once. I cannot really use this site to plot, but you can use other tools for that if you do not know how to do it.

Answer:

2/$5.00

Step-by-step explanation:

It's the only one that makes sense

Answer:

4,10

It is the only option on the table

Step-by-step explanation:

Answer:

16 x 66 = 1056mm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find and compare the unit costs of the two different bottle sizes.

First:  

$2.79/(6 oz) = $0.465/oz

Second:

$10.89/(14 oz) = $0.778/oz

Clearly, the larger (14 oz) bottle is a much better buy

Answer: 14oz bottle for 10.89

Step-by-step explanation:

Did it before

Answer:

D

Step-by-step explanation:

4x^4+3x^2-3x^3-3x+1

I hope this helps you

Answer:

3  -√5

Step-by-step explanation:

(√5 + 1) / (2 + √5)

Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is  2 - √5.

By doing this we rationalise the denominator:

= (√5 + 1 ) *  ( 2 - √5) /  (2 + √5)(2 - √5)

= (√5 + 1 ) *  ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)

= (2√5 - 5 + 2 - √5) / (4 - 5)

= (√5 - 3) / -1

= 3  -√5

Answer:

[tex]\boxed{\sf \ \ \ the \ inverse \ of \ f \ does \ not\ exist \ \ \ }[/tex]

Step-by-step explanation:

hello,

for one x you cannot get several values of f(x), otherwise this is not a function

as 6 and 7 gives 0 it means that

f(6)=f(7)=0 which is fine for f

but then for [tex]f^{-1}[/tex] it would mean that 0 has two different images

and this is not possible

so the inverse of f does not exist

hope this helps

Answer:

(- 1, 5 )

Step-by-step explanation:

Since the x- coordinate of Q, x = - 1 lies on the line of reflection.

The point Q will remain unchanged, that is

coordinates of image are (- 1, 5 )

Answer:

270 ft square

Step-by-step explanation:

10cm * 1.5ft = 15 ft

12cm * 1.5ft = 18ft

18ft * 15ft = 270ft square

Answer:

270 sq ft

Step-by-step explanation:

Answer:

The answer is StartFraction 5 over 7 EndFraction

Answer:

The probability of the complement of the original event is 5/7.

Step-by-step explanation:

The probability of the complement of an event is 1 less the probability of the event, so

We get:  1 - 2/7, or 5/7

The probability of the complement of the original event is 5/7.

Note that  5/7  and 2/7  add up  to 7/7, or 1.

Answer:

C. -3

Step-by-step explanation:

Plugging both of those points into the slope formula gets you a slope of -3.

Step-by-step explanation:

1.32:24

32/8:24/8

4:3

2.20:32

20/4:32/4

5:8

3.24:76

24/4:76/4

6:19

4.24:32:20

24/4:32/4:20/4

6:8:5

Answer:

D. a³+b³=(a+b)(a²-ab+b²)

Explanation:

That is the form of the Sum of Cubes identity