Calculate the surface area. Be sure to show how the area of each face is calculated.

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Answer:

can you post the question I don't understand

Answer:

5x² - x - 4

Step-by-step explanation:

B(x) + C(x)

= - 3x - 4 + 5x² + 2x ← collect like terms

= 5x² - x - 4

Answers:

Part 1

16. Nominal

17. Nominal

18. Nominal

19. Nominal

20. Nominal

21. Continuous

22. Continuous

23. Continuous

24. Continuous

25. Continuous

Part 2

26. Discrete

27. Continuous

28. Discrete

29. Discrete

30. Ordinal

31. Ordinal

32. Nominal

33. Ordinal

34. Ordinal

35. Nominal

=========================================================

Explanation:

A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.

An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.

A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.

A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.

Answer:

AB = 4.7 to the nearest tenth

Step-by-step explanation:

Usine the Sine Rule:

6/sin71 = AB/sin48

AB = (6 * sin48)/ sin71

= 4.716

Answer:

The answer is D.) What must be true

Step-by-step explanation:

Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^

Answer:

the original price should be 3.70 beacause ur basically subtracting That's all

5(p+5) + 6(p+6)

First step: Distribute  (PEMDAS --> Parenthesis)

5p + 25 + 6p + 36       Now, combine like terms

11p + 61

Thus, the answer is 11p + 61

[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]

The feet per minute that John is travelling down 195 is 4840 feet per minute.

Average speed is the total distance travelled per time. It is determined by dividing total distance travelled by total time.

In order to convert 55 miles per hour to feet per minute, we have to know the unit of conversion :

1 mile = 5280 feet

1 hour = 60 minutes

55 x (5280 / 60) = 4840 feet per minute

To learn more about average speed, please check: https://brainly.com/question/21734785

Answer:

10.5 units squared

Step-by-step explanation:

just count the squares up or use the formula (a+b)/2 * h .

Not sure what "each square is worth means" sorry, if you clarify I can answer

one square is 2 cm swuared.

trapezoid area = 1/2h(b1+b2)

area = 1/2(6)(10+4)

area = 3*14

area =42

Answer:

x=2/3

Step-by-step explanation:

25-(3x+5)=2(x+8)+x

25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4x=4/6

simplify

x=2/3

Answer:

x=2/3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

11 is ur answer to the question.

I hope it helped yoy

Step-by-step explanation:

10/100×3950

=395

3950+395

=4345

Answer:

A. <

B. =

C. >

D. <

Step-by-step explanation:

Answer:

a. 3.07 < 3.7

b. 12.3 = 12.30

c.0.7 > 0.65

d. 1.82 < 1.89

Step-by-step explanation:

a. By looking at the tenths place, you can see that 3.07 is less than 3.7.

b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.

c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.

d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)

[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]

Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]

____________________________________

Hope it helps you:)

Answer:

y = 4/3x + 17 .

Step-by-step explanation:

Use the point-slope form of a line:

y - y1 = m(x - x1)

y - 9 = 4/3(x - -6)

y - 9 = 4/3x + 8

y = 4/3x + 17   <--------- Slope-intercept form.

Answer:

x = 17

Step-by-step explanation:

3x - 1 / 5 = 10

3x - 1 = 5 * 10

3x = 50 + 1

x = 51/ 3

x = 17

Answer:

The graph is an absolute value function with vertex (4, –7)

Step-by-step explanation:

|x-4| is always positive

minimal value of |x-4| = 0

x-4 = 0           x=4

y = |4-4| - 7 = -7

Shaded area = 21.46

Step-by-step explanation:

First find area of square,

Area = length × width

A = 20 × 20

A = 400 cm^2

Secondly, find area of circle

Area of circle = (π)r^2

A = (π)10^2

A = 100 π

Thirdly, find the area outside of the circle

Area of square - Area of circle

400cm^2 - 100π

= 85.84

lastly divide the answer by 4 to find the shaded area

85.84 ÷ 4

= 21.46

ANSWER:

e. 4 and 2

f. 1 and 3

g. 5 and 6

h. 7 and 8

Ok done. Thank to me >:3

Answer:

8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Step-by-step explanation:

(8c-9b)(x-5a)+(3x+3c)(6a-2b)

= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)

= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc

Combining like terms:

=  8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Answer:

8cx + 45ab + 18ax - 2bc - 15bx - 22ac

Step-by-step explanation:

Answer:

[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]

Step-by-step explanation:

Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.

So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.

The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].

So plugging in 2 gets us the area of one triangle.

s = 2

[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]

The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].

Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Answer:

A.

Step-by-step explanation:

In a direct proporton, the ratio of one quantity to teh other is a constant.

Let's divide each number of crystals by each number of pounds:

7/14 = 1/2

14/28 = 1/2

21/42 = 1/2

28/56 = 1/2

The ratio of crystals to pounds is always 1:2.

This is a proportional relation.

Answer: A.

Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The system is given by:

27c+ 17s = 809.50

46c + 34s = 1,495.00

Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:

27c+ 17s = 809.50

-23c - 17s = -747.50.

4c = 62.

c = 62/4.

c = 15.5.

The before-tax price of a chicken dinner is of $15.5.

More can be learned about a system of equations at https://brainly.com/question/24342899

The equation in standard form of the line is given by:

[tex]\frac{8}{3}x + y = 15[/tex]

A linear function is modeled by:

y = mx + b

In which:

In this problem, the line is parallel to 8x + 3y =15, hence the slope is given by:

[tex]m = -\frac{8}{3}[/tex]

It passes through the point (6, -1), hence:

y = mx + b

[tex]-1 = -\frac{8}{3} \times 6 + b[/tex]

b = 15

Hence:

[tex]y = -\frac{8}{3}x + 15[/tex]

In standard form:

[tex]\frac{8}{3}x + y = 15[/tex]

More can be learned about linear equations at https://brainly.com/question/24808124