5. Consider the diagram below. Solve for x.

[tex]Area = 25\sqrt{3}[/tex]

[tex]Height = 5\sqrt{3}[/tex]

To find the height and area of an equilateral triangle we can start by finding the area using the following equation

[tex]Area =\frac{\sqrt{3}}{4} side^2\\Area =\frac{\sqrt{3}}{4} 10^2\\Area =\frac{\sqrt{3}}{4} 100\\[/tex]

Which then simplifies down to

[tex]Area = 25\sqrt{3}[/tex]

Next, we can find the height using the following equation

[tex]Height = \frac{side\sqrt{3} }{2} \\Height = \frac{10\sqrt{3} }{2}[/tex]

which then simplifies down to

[tex]Height = 5\sqrt{3}[/tex]

If this helped you a Brainliest would be much appreciated!

Answer:

all i know is that DOE COD is complementary

Step-by-step explanation:

the 2 angles together measure 90 degrees which makes it complementary

The most appropriate for the data set represented by the graph is mean absolute deviation.

It is a measure of variability or variation that indicates the average distance or average absolute distance between each data point or data value and the mean of a data set

We can calculate the variability of a data set by different measure thay include range, interquartile range, mean absolute deviation, standard deviation, etc.

Quartiles or ranges may be useful but they are limited as they tend to skip a lot of data in the group.

While, absolute deviation can help us get a more representative idea of spread for a data set like the one given in this question, where the elements have close difference.

Hence, the most appropriate for the data set represented by the graph is mean absolute deviation.

Learn more about mean absolute deviation, click;

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Answer:

c

180(n-2)

180(5-2)

180(3)

540

Answer:

B

Step-by-step explanation:

An octagon is an 8-sided polygon

Answer:

41.47%

Step-by-step explanation:

618÷(745+618+127)×100

Answer:

41.47%

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

a. they overlap at 22 and 26

b. eighth grade IQR = 8 seventh grade IQR = 8

c. 12

d. 1.5

Answer:

46.65%

Step-by-step explanation:

Discount = $ 114.30

Discount percent = [tex]\frac{discount price}{Normal price}*100\\[/tex]

                             [tex]= \frac{114.30}{245}*100\\\\= 46.65[/tex]

                             = 46.65%  

Answer:

51

Step-by-step explanation:

26+(3x+1)= 180

Choice B, would be the correct answer.

The y's on choice A, C, D are not increasing by a constant rate. However, choice B the y's are increasing by 8 every time. Thus, choice B would be the correct answer. Hope this helps :)

Answer:

B

Step-by-step explanation:

Consider the value of y

If there is a common difference between consecutive terms then relationship is linear.

A 7, 12, 18

12 - 7 = 5 and 18 - 12 = 6 ← not common so not linear

B 8, 16, 24

16 - 8 = 8 and 24 - 16 = 8 ← common then linear

C 5, 7, 10

7 - 5 = 2 and 10 - 7 = 3 ← not common so not linear

D 4, 16, 30

16 - 4 = 12 and 30 - 16 = 14 ← not common so not linear

Thus table B represents a linear relationship

Answer:

D

Step-by-step explanation:

you do the length x width x height

The kind of symmetry the figure given above posses is a line and point symmetry.

A point Symmetry also known as origin symmetry is a Symmetry which occurs when every part of an object has a matching part. That is, the same distance from the central point but in the opposite direction.

The objects looks the same when viewed from opposite directions.

A line of symmetry is a line that cuts a shape exactly into two equal half. That is, if you fold the shape along the line, both halves would match exactly.

Therefore, the figure given above has both point and line Symmetry.

Learn more about line and point symmetry:

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Answer:

156 ft^3

Step-by-step explanation:

1) find the volume of the parallelepiped:

V = side^2 x height = 6^2 x 3 = 108 ft^3

2) find the base area of the pyramid:

base area = side^2 = 6^2 = 36 ft^2

3) find the volume of the pyramid:

V = (base area x height)/3 = (36 x 4)/3 = 48 ft^3

4) find the total volume

V = 108 + 48 = 156 ft^3

Answer:

It is: C. x + y = 39

Step-by-step explanation:

Since the first angles are always added unless they are in a fraction, but since that is not the case they are added and gives 39.

And if you want to know the measures of x, y.

X: is 55º

Y: it is 79º

I hope I have helped.

Answer:

5

Step-by-step explanation:

use the pythagorean theorem

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = {(4)}^{2} + {(3)}^{2} [/tex]

[tex] {h}^{2} = 16 + 9[/tex]

[tex] {h}^{2} = \sqrt{25} [/tex]

[tex] {h}^{2} = \sqrt{25} = 5[/tex]

Answer:

1/2 cm^2

Step-by-step explanation:

Answer: x=21

Step-by-step explanation:

Concept

- If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportion.

Solve

Given

x/7 = 27/9

Simplify

x/7 = 3/1

Cross multiply

x = 21

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 22.5 cm

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{FG}{AB}=\frac{FH}{AC} = \frac{GH}{BC}\\\\\\ \frac{GH}{BC}=\frac{FG}{AB}\\\\\frac{x}{15}=\frac{13.5}{9}\\[/tex]

[tex]x = \frac{13.5}{9}*15\\\\x = 1.5*15\\\\x = 22.5[/tex]

Answer: jus click on try again try again and it will tell you the answer and then you write it down and put it in it is simple.

Step-by-step explanation:

Answer:

60,000

Step-by-step explanation:

The aquarium will hold 60,000 mL of water because the volume, Lxwxh, gives  you the answer of 60,000. 30 x 40 x 50 = 60,000

Answer:

4:3

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

50 = (3y + 5) ; y = 15

70 = (2x + 4) ; x = 33

33 + 15 = 48

Answer:

I will explain each one under this is.

Step-by-step explanation:

The answer to the blank space in number 2 is 8 because you would need to take the bigger denominator and then divide it by the lower denominate to find out the equivalent fraction. And for number two, you would divide 28 by 7 which equals 4, so you then take 4 and take the numerator and multiply the numerator by 2, so that's 2 times 4 which is 8. So the answer 8 in the blank space. Since I already explained how to do it here, I'll just give you the rest of the answers.

3: 20

4: 33

5: 5

6: 100

7: 28.8

8: 5.7

Answer:

Step-by-step explanation:

2. 8/28

3. 20/16

4. 33/45

5. 5/7.5

6. 3.5/50

7. 28.8/16

8. 5.7/20

Answer:

174 square feet

Step-by-step explanation:

18*9= 162

6*4=24/2=12

162+12=174

Answer:

it is b

Step-by-step explanation:

Answer:

Fair

Step-by-step explanation:

I think this is fair because each person has a section on the wheel, and each section is worth 1/8th of the circle, and there are 8 people.

Answer:

It is fair

Step-by-step explanation:

Answer:

Benjamin is correct.

Step-by-step explanation:

1/2 converted to a decimal (1 divided by 2) is 0.50, which when converted to a percentage is 50%.

1 ÷ 2 = 0.5

.5 × 100 = 50 ⇒ 50%

So, 1/2% = 50%

Also, 1/2 is 50%. So, that should automatically prove that he is correct.

Hope this helps! :)

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