What is the sum of the interior angles of the polygon shown below?

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

Given :

n(American) = 29

n(Chinese) = 16

n(Mexican) = 19

n(Italian) = 28

Expected value = (29 + 16 + 19 + 28) / 4

Where, 4 = sample size

Expected value, E = 23

χ² = (Observed value - Expected value)² / expected value

χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

I would but you probobly want just the answer :/

Answer:2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1/6 x 12 = 2

2/3 x 12 = 8

8 + 2 = 10

12 - 10 = 2

Answer:

2 not wearing either blue or white

Step-by-step explanation:

Find out the fraction that represents those that are wearing either blue or white. Let x be that fraction

x = 2/3 + 1/6

Change 2/3 and 1/6 to 12ths. because there are 12 students in the class.

2/3 = 2*4 / (4 *O 4) = 8/12

1/6 = 2*1/(2 * 6) = 2 / 12

x = 8/12 + 2/12

x = 10/12   Normally you would reduce this fraction because we are not using the Lowest common Denominator. In this case we just leave it.

There are 12/12 - 10/12 = 2/12 that are missing.

So 2 people are Not wearing either blue or white.

Answer:

5. x = 5, y = 3

6. x = 0, y = 4

7. x = -1, y = 1

Step-by-step explanation:

5. substitute 3(value of y) into the equation y = x - 2:

=> 3 = x - 2

=> x = 5

6. substitute 0(value of x) into the equation y = x + 4:

=> y = 0 + 4

=> y = 4

7. substitute 1(value of y) into the equation y = 2x + 3:

=> 1 = 2x + 3

=> 2x = -2

=> x = -1

Answer:

9

Step-by-step explanation:

Answer:PLZ MARK BRAINLIST

Draw a line from the center of the circle to the chord to form a right triangle.

The radius (20) forms the hypotenuse of the right triangle and distance from the center to the chord (16) forms a leg.

Use the Pythagorean Theorem to find the length of the other leg x (which would be 1/2 the length of the chord):

x^2 + 16^2 = 20^

x = 12

So the entire chord length = 12 * 2 = 24 units

Answer:

58 minutes

Step-by-step explanation:

s = 170 - 64 - 48

s = 58

Answer:

Avery spent 58 minutes swimming

Step-by-step explanation:

Answer: (3, 8)

Hope it helps :)

The point graphed on the coordinate plane is either (3,8) or (8,8), depending on whether the horizontal axis is labeled from left to right or right to left.

A graph is a visual representation of data or a mathematical equation. It is used to show the relationship between two or more variables, usually depicted on the horizontal and vertical axes of the graph.

The given points are of the form (x,y), where x is the horizontal axis coordinate (also known as the x-axis) and y is the vertical axis coordinate (also called the y-axis).

Each point in the given options is represented by its (x,y) coordinates. Based on the options provided, we must determine which point is graphed on the coordinate plane.

So, to accomplish this, we simply compare the (x,y) coordinates of each option to the coordinates on the graph and select the option that matches.

Thus, (3,8) or (8,8) can be the coordinate plane.

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Answer:

r1 is given by the formula an=a1r.n-1

Step-by-step explanation:

Answer:

a1 = 2

r1 = 2

yayyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

x = 29°

Step-by-step explanation:

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

got u

Step-by-step explanation:

the answer is 10x+20

Answer:

75 games

Step-by-step explanation:

5 : 3 =8

8 = 120 games

1= 120÷8

=15

Games the team win:

= 5×15

= 75 games

If  team's win-loss ratio was 5 to 3. If the team played 120 games without a tie then 75 games are win by team.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The team's win-loss ratio was 5 to 3.

The team played 120 games without a tie.

We need to find how many games did the team win

5x+3x =8x

8x = 120 games

Divide both sides by 8

x= 120/8

x=15

Games the team win:

= 5×15

= 75 games

Hence, 75 games did the team win.

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Answer:

Yes, I can help you for free if you help me on some of my questions

Step-by-step explanation:

Answer:

if the 'a base' is 6.5 & the height is 9 & 'b base' is 18.5, the answer is a = 112.5 cm^3

Answer:

7

Step-by-step explanation:

To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.

Answer: 7

Step-by-step explanation:

1. put them in order from least to greatest = 2, 3, 6, 6, 7, 8, 8, 8, 15

2. find the number in the middle = 7

Hope I helped, have an amazing day!!

Answer:

About 4.5 hours

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

=> m = 3 -3/7+5

=> m = 0/12

=> m = 0

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

Answer:

105000000

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point 8  places to the right.

After writing the expression in standard form we get 105000000

An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power.

The given question is 1.05 * 10⁸

It has to be written in the standard format

The exponent 8 on 10 means base 10 is multiplied 8 times.

therefore

1.05 * 10*10*10*10*10*10*10*10

On solving this we get

105000000 is what we get after writing the expression in standard form.

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Answer:

The formula used here would be V = 4/3 πr³

Step-by-step explanation:

2r=d

r=12/2

r=6 V=4

4/3 π r3 =4

4/3·π·6(cube)≈904.77868can be written as 905

Answer:

e. The mayor uses a significance level of 0.05 and n = 1,000 voters.

Step-by-step explanation:

Power of a test:

For a high power of a test, two conditions are needed:

Large significance level.

Large sample.

In this question:

A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.

A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.

Answer:

arc AC = 202°

Step-by-step explanation:

Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.

Thus:

m<P = ½(arc AC - arc CB)

Substitute

78° = ½(arc AC - 46°)

Multiply both sides by 2

2*78 = arc AC - 46

156 = arc AC - 46

Add 46 to both sides

156 + 46 = arc AC

202° = arc AC

arc AC = 202°

Answer:

For each table plug x in one at a time into the equation

If the outcome (y) is the same in the table that will be the correct answers

Step-by-step explanation:

For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer

Hope this helps