Find the distance between the two points.
(2, 4), (7,2)

Answer:

ABD = 140
DBC = 40

Step-by-step explanation:

What is shown is a supplementary angle. These types of angles equal 180 degrees.

So that means whatever angle measures is in the supplementary angle added together would equal 180.

The equation to solve this would be (15x - 4) + (5x - 8) = 180

First, I would combine like terms. The 15x and 5x can be combined together to make 20x and the -4 and -8 would be equal to -12.

The simplified equation is now 20x - 12 = 180.

Next, we need to get rid of the 12. So we add 12 to both sides.

(20x - 12) + 12 leaves 20x by itself

180 + 12 = 192

Our equation is now 20x = 192

Next, we have to make sure that the x is by itself. To do this, we have to divide each side by 20.

20x/20 leaves us with just x.

192/20 is 9.6

x is equal to 9.6

Finally, we plug in the variable's value back into the angle measures to find their value.

15(9.6) - 4 = 140

5(9.6) - 8 = 40

Therefore, ABD is 140 degrees and angle DBC is 40 degrees.

Checking our work:

To check if our work is right, we can add up the angle measures to see if it's equal to 180.

140 + 40 is 180, so we are correct.

I apologize if that was a lot to read, but I hope you understand!

Answer:

Median= 10

Step-by-step explanation:

3,5,9,11,19,21

To find the median you put the number in order from least to greatest and then, you cross one off from both sides until you get to the middle.

9+11=20

20/2=10

Answer:

z=28

Step-by-step explanation:

6=1/4z-1

1) take the -1 over to the other side of the equation, so it becomes +1

2) 6+1=7, so your new equation is 7=1/4z

3) to get "z" on its own, you'll have to time the 7 by 4 which is 28

4) your equation is now 28=z and that is your answer.

You can check by inserting 28 instead of z into the equation and it gives you 6. E.G. 1.4 X 28 -1 =6

Answer: ~801.45

Step-by-step explanation: A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=16·15+10·15+17·15+1

2·﹣164+2·(16·10)2+2·(16·17)2﹣104+2·(10·17)2﹣174≈801.45367

Answer:

C

Step-by-step explanation:

Their are 3 chances that it will happen. So it would be 3/36

Anwser:

Area = 20 units²

Step-by-step explanation:

hope this helps

Answer:

20 square units

Correct Answer 100%. Pls, give me brainliest. Thank You.

Answer:

1310

Step-by-step explanation:

Because, you have to add the biggest number which is 380, to the second to biggest number which is 360, which will both get you to 740. Then you have to add the 740 to 300 which both gives you 1040 and then last but not least you have to add, 1040 and 270 together which will give you 1310 and that's your answer. :)

Answer:

16.8 for number c Michael will earn 16.8$

Answer:

x=48

y=96

z=36

Step-by-step explanation:

6.4n+3.2n+2.4n=180

n=15

x=3.2(15)=48

y=6.4(15)=96

z=2.4(15)=36

Step-by-step explanation:

4. 3x+7=37, 3x=37-7=30 x=30÷3=10

5. 31=7x-11, 7x=31+11=42 x=42÷7=6

6. 11k-84=92, 11k=92+84=176 k=176÷11=16

7. 4r+13=57, 4r=57-13=44 r=44÷4=11

8. z÷4+16=21, z÷4=21-16=5 z=5×4=20

9. 7=t÷6-3, t÷6=7+3=10 t=10×6=60

The results of the 100 rolls with the number cube are such that the probability of rolling a 2 is 32%.

This refers to the chances that the number cube rolls a 2 when thrown.

This can be found by the formula:

= Number of times 2 was rolled / Total number of times number cube was rolled

Solving gives:
= 32 / 100

= 32%

Find out more on probability at https://brainly.com/question/25856001.

#SPJ1

[tex] - \frac{2}{3} (1 \frac{3}{5} )[/tex]

the product in simplest form.

[tex] - \frac{2}{3} (1 \frac{3}{5} )[/tex]

[tex] = - \frac { 2}{3} \times \frac{8}{5} [/tex]

[tex] = \frac{ - 2 \times 8}{3 \times 5} [/tex]

[tex] = - \frac{16}{15} [/tex]

[tex] = - 1 \frac{1}{15} [/tex]

Answer:

skewed left

Step-by-step explanation:

A bimodal distribution is a distribution that has two peaks. Notice that if we drew a line down the center of this distribution, the left and right sides would still mirror each other. For these distributions, the mean and the median are equal.

Answer:

8

Step-by-step explanation:

2 1-yard long pieces of pipe would basically equal to 2 yards. so divide 2 by 1/4 which equals 8... so 8 pieces of 1/4-yard pieces of pipe would fit into 2 1-yard pieces of pipe

hope u understand :))

Answer:

11

Step-by-step explanation:

Corresponding angles are equal so-

6x+1=10x-43

6x-10x=-43-1

-4x=-44

x=11

Hope it helps! :)

y - -2x - 6 (1)
y = x+15 (2)

From (2) we get x = y-15
We put that in (1) and we get -2(y-15)-6 = y
-2y+30-6 = y
-2y+24=y
-2y+24-y=0
-3y+24 = 0 ==> -3y = -24 ==> y = 8

We put that value in (2) and we get x = 8-15 = -7

Now in order to verify this, we replace the variables and see if (1) = (2)

y = -2x - 6 ==> (-2 * -7) - 6 = 14-6 = 8 (1')
y = x + 15 = -7 + 15 = 8 (2')

(1') = (2') ==> the solution is x = -7 and y = 8

Answer:

x=−2y=2

Step-by-step explanation:

Take the value of x from the first equation:x=2−2y (1)and substitute for x into the second:y=2(2−2y)+6

solve for y ;y=4−4y+6y=105=2

Substitute back into

(1) and find :x=2−4=−2

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the surface area of the cylinder with height 2 yd and radius 7 yd?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

[tex]\textsf{Formula for Surface Area (SA) of a Cylinder:-}[/tex]

[tex]\dashrightarrow\bigstar{\boxed{\bf{A=2\pi rh+2\pi r^2}}}\dashleftarrow[/tex]

Where

[tex]\bold{A=Area}[/tex]

[tex]\bf{\pi =pi (3.14...)}[/tex]

[tex]\bold{r=radius}[/tex]

[tex]\bold{h=height}[/tex]

Given:-

[tex]\bold{r=7}[/tex]

[tex]\bold{h=2}[/tex]

Solving for S.A.:-

[tex]\bold{SA=2\pi (7)(2)+2\pi (7)^2}[/tex]

[tex]\bold{SA=2\pi (14)+2\pi (49)}[/tex]

On further simplification,

[tex]\bold{SA=28\pi +98\pi }[/tex]

[tex]\bold{SA=126\pi }[/tex]

And finally,

[tex]\dashrightarrow\bigstar\boxed{\bold{SA=395.841\:yd}}\dashleftarrow[/tex]

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Answer:

954.814

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

mean formula: sum of all terms/number of terms

sum of all terms: 366

    31

    55

+   68

    70 70 72

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

TOTAL: 366

number of terms: 6

31, 55, 68, 70, 70, 72

366/6 = 61

Answer:

24

Step-by-step explanation:

In a stem-and-leaf plot, each leaf represents a number or piece of data.

Each the leaf will only show the last digit of the number, and the stem will have the rest.

Examples:

stem value of 1 with a leaf value of 2 = 12

a stem value of 3 with a leaf value of 0 = 30

So, this is your plot:

Stems| Leaves

 1      |   2  3  5

 2     |   8  8

 3     |   0

 4     |   2

Your data is 12, 13, 15, 28, 28, 30, 42.

Add up all these numbers and divide by the number of leaves.

Sum of data = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Number of leaves = 7

168 ÷ 7 = 24

The mean is the values in the stem-and-leaf plot is 24.

Answer:

130+8n

Step-by-step explanation:

We know that all four humidifiers cost $520 to buy at first. So, we divide that by four to get the cost of one humidifer. $130.

We know that it costs $32 a week to keep all four humidifiers maintained. So, we divide that by four to get the cost of keeping one humidifier maintained. $8 per week.

130+8n is the equation that represents the cost of buying and maintaining one humidifier.

Answer:

= 3 (3x + 5y)

Step-by-step explanation:

First find the GCF of 9 and 15 which would be 3. Then the GCF which is 3 is placed on the left of the parentheses. then you plug in the numbers. So 9x divided by 3 is 3x, and 15y divided by 3 is 5y.

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[tex]\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

               Factor the expression 9x+15y using the GCF.

[tex]\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, let's find the GCF of this expression.

Expressions, like numbers, have GCF's, and we're asked to find it.

The factors of the first term, 9x, are:-

1, x, 3

The factors of the second term, 15y, are:-

1, y, 3, 5

Common factors:-

1, 3

Greatest common factor (GCF):-

3

So we divide both terms by 3:-

3(3x+5y)

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Answer: There will be 16,777,216 bacteria by the end of the day.

Step-by-step explanation: This situation can be represented by a geometric sequence, in which the quotient of consecutive terms is always the same, called the common ratio.

The nth term of a geometric sequence is:

In which is the term at the initial moment and q is the common ratio.

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

Initially, 1 bacteria, which means that

Double every hour, thus,

After n hours, the number of bacteria will be given by:

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

By the end of the day, that is, 24 hours, the amount will be:

There will be 16,777,216 bacteria by the end of the day.

A similar question is given at brainly.com/question/23826475

Answer:

27 units^2

Step-by-step explanation:

The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object. This is done using different area formulas and measured in square units. Volume is the amount of space that a three dimensional object takes up.

So you add, next time you get another question like this

Hope this helps!