AB & BC are two sides of a regular octagon. Calculate the size of angle x. ​

 AB & BC Are Two Sides Of A Regular Octagon. Calculate The Size Of Angle X.

Answers

Answer 1

Answer:

x = 45°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 8 ( number of sides of an octagon ) , then

sum = 180° × 6 = 1080°

the interior angles of a regular octagon are congruent , so

∠ ABC = 1080° ÷ 8 = 135°

x and 135° are adjacent angles on a straight line and sum to 180° , then

x = 180° - 135° = 45°


Related Questions

Five friends ordered pizza for dinner. The pizza cost $30.There was also tax of $5.75. How much would each person pay if they split the total cost equally?

Answers

Answer:

They would each pay $7.15

$30+$5.75=$35.75
$35.75 divided by 5=$7.15

So each person has to pay $7.15

Belvedere has a swimming pool that needs to be drained. His pool holds 10,567.2 gallons of water and will need to drain completely in 11.8 hours. What is the change in the water level per hour for Belvedere's swimming pool? Round your answer to the nearest hundredth TIE

Answers

Answer:

895.53 gallons per hour

Step-by-step explanation:

rate of change in water level (r) = totals gallons divided by number of hours to drain

r = 10567.2/11.8

r = 895.53 gallons per hour

Evaluate the following logarithms. log12144 = log151 = log3 ( 1 81 ) = log 0.00001 =

Answers

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

What is Logarithm?

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

Learn more about Logarithm here:

brainly.com/question/30085872

#SPJ7

David bought a poster for an art project. The poster is 2. 7 feet wide and 3. 9 feet tall. What is the area of the poster? Enter your answer as a decimal in the box. Ft2.

Answers

Answer:

10.53 ft.²

Step-by-step explanation:

Area of a rectangle: length x width

length: 3.9

width: 2.7

3.9 x 2.7 = 10.53

Which number line shows the solution to the inequality
-3x - 5 < -2?

Answers

Answer:

x

Step-by-step explanation:

-3x-5<-2-3x<-2+5 -3x<3 divide by -3 both sidex<-1 answer.

(C) 2a+a²b-2b-ab. send me fast ​

Answers

Answer:

what do you want me to do with that

factor?

c Sections
Help Resources
Find the vertex and focus of the
parabola:
y2 +12y - 4x + 48 = 0
Vertex = ([?], [?])
Focus = ([?], [?])
Enter

Answers

The focus (4,6) and the vertex (3,-6)

Find the Area of the trapezoids

Answers

Hey there!

A = ½ (a + b) h,

a =8b = 16h =14

⇒ A = ½(8+16)14

⇒ A = ½(24)14

⇒ A = (12)(14)

⇒ A = 168

Therefore, Area of trapezoid is 168 sq. un

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}[/tex]

Alejandro started the 10-kilometer race at 8:22 am. He finished the race
at 9:09 am. How long did it take him to run the race?

Answers

Answer: 47 minutes

Step-by-step explanation:

First substract 22 from 60 to see how much it took to get till 9 and then add the remaining 9 minutes

Answer:

47 min

Step-by-step explanation:

22 from 8:22 + 47 min = 8:69

69 simplified = 1 hr 9 mins

9:09

pls mark brainliest if I'm correct

Rena is building a 1 : 180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long.
The width of the actual castle is ___feet.

Pleeeeassseee someone help me with this. I'm really struggling, and I'm in the middle of a test. Not to mention I'm being homeschooled, so that doesn't help at all. Any please if you can help, do it.

Answers

i need points, thanks, goodluck!

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

The answer should be (6,-1)

Explanation:

Focus on point A since it's asking for that. Then, shift it down vertically -8.

This means you are shifting A down 8 units.

Then they ask for a reflection across the y-axis. The y-axis is the vertical line in the middle, so to do this transformation, just change the x-value of where A is to the opposite.

Please help I will give brainliest.

Answers

(2,0) and (-1/2,0) is the correct answer

Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)

Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.

please answer fast it will be very helpfull please it is a humble requst A samosa costs Rs 5 and a cold drink costs Rs 10. You take a samosa and cold drink every day for 6 days. The total money spent in 6 days is Rs
6x5+10
6x10+5
10x5+6
6x(5+10)

Answers

The first answer is 40 second 65 third 56 and then fourth 90

Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value, show your work

Answers

Answer:

she sends 14 texts

Step-by-step explanation:

12 + x = 26

------------------          

-12         -12

 x      =  26 - 12

 x      =  14

Explain how to solve the equation. 49= x/7

Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _

Answers

[tex]49 = \frac{x}{7} [/tex]

Multiply both sides of the equation by 7

[tex]49 \times 7 = \frac{x}{ \cancel7} \times \cancel7[/tex]

[tex]343 = x[/tex]

[tex]x = 343[/tex]

[tex]\green{ \rule{300pt}{3pt}}[/tex]

Option B is the correct choice and the number that comes in the blank is 7...~

Solve the quadratic equation in standard form: f(x)=3x^2-6x-4

Answers

Answer: Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

1

)

Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

1

)

Step-by-step explanation:

Midpoint problem. Given two endpoints P1 (8, -4) and P2 (-3, 9), find the midpoint. Enter just the x-coordinate in this problem.

Answers

Given parameters:

 The coordinates are:

                 P1 (8, -4) and P2 (-3, 9)

Unknown:

The midpoint of the endpoints = ?

Solution:

     x₁  =  8

     y₁  = -4

     x₂  = -3

     y₂  = 9

  midpoints;     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]

                                       = [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]

   The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]

help me rn pleasee i dont understand

Answers

Answer:

Step-by-step explanation:

if 1l = 100cl

1l×1/100cl×4=1l /400cl

What tool could you use to measure the angle of a hexagon? Explain how to use the tool you chose. What is the measure?
Pls help me

Answers

Answer: A protractor The measure is 120

Explanation: Line up the vertex of the angle with the dot at the center of the protractor. Line up one side of the angle with 0 degrees on the protractor. Read the protractor to see where the other side of the angle crosses the number scale. (Hopes this helps!)

If 14x + 5 = 12, what is the value of x?

Answers

x = 1/2

Step-by-step explanation:

14x + 5 = 12

14x = 12 - 5

14x = 7

x = 7/14

x = 1/2

Hope it helps you!!

Estimate the answer to:​

Answers

Answer:

a.  3.76b.  13,102.974

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

Write each number in scientific notation. Show your work/explain.

A. 14,700
B. 0.00083
C. 760,000,000
D. 0.038
E. 0.38
F. 3.8
G. 3,800,000,000,000
H. 0.0000000009

Answers

Answer: [tex]1.47*10^4[/tex]

[tex]8.3*10^{-4}[/tex]

[tex]7.6*10^8[/tex]

[tex]3.8*10^{-2}[/tex]

[tex]3.8*10^{-1}[/tex]

[tex]3.8*10^0[/tex]

[tex]3.8*10^{12}[/tex]

[tex]9.0*10^{-10}[/tex]

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too large or too small.

To figure out the power of 10, think "how many places do I move the decimal point?"

1. When the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.

2. When the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.

Describe the term to term rule in this sequence:
10.8.6.4.2...

Answers

Answer:
The sequence from 10 to 8 is 2 from 8 to 6 is 2 so the term to term in this sequence is addition or multiply of 2

Mary has been hired as a receptionist. She is paid a flat rate of $150 each week and earns an additional
$12.50 for every hour that she works. If her goal is to make $575 in one week, how many hours must Mary
work?

Answers

Answer:

34

Step-by-step explanation:

$575-$150= $425

So $425 is how much she needs bc she already gets $150 each week so subtract it from the $575. then do

$425/$12.50=(hours)34) so she needs to work 34 hours this week to get 575$

A tennis racket and a tennis ball cost $2.10. The tennis racket costs two dollars more than the tennis ball.

How much does the tennis ball cost?

Sn: I think it’s .10 but I wanna double check.

Answers

Answer:

4 dollars

Step-by-step explanation:

Answer:

4.10$

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear equation with the correct description.

Answers

This is the Answer to this question  

The number of students in each class is shown on the line plot.
Find the median number of students.

Answers

Answer:

Your answer is 24.

Step-by-step explanation:

The data set is 22,23,23,23,24,24,25,26,26,26,28

The median of this set is 24

The mean is 24.54

The mode is 23,26

The range is 6

In the triangle below, suppose that mZc-(4-9). ZD=(31-3), and mLE=x° Find the degree measure of each angle in the triangle.​

Answers

Answer:

Step-by-step explanation:

Answer this, please!
Help!!!

Answers

Answer:

25

Step-by-step explanation:

complementary angles is when their sum = 90 so

30 + 2x + 10 = 90

2x = 90 - 40

2x = 50

X = 25

Answer:

x = 25

Step-by-step explanation:

1. Due to the fact that Angle F and angle G are complementary, 2x + 10 + 30 = 90.

2. Solve this equation: 2x + 10 + 30 = 90

Add 10 and 30

2x + 10 + 30 = 90

2x + 40 = 90

3. Subtract 40 from 90

2x + 40 = 90

2x = 90 - 40

2x = 50

4. Divide 2 from 50

x = 50/2

x = 25

Given: a and b are first-quadrant angles, sin a = 5/13 , and cos b = 3/5 , evaluate cos(a + b).

16/65
33/65
56/65

Answers

Step-by-step explanation:

please mark me as brainlest

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