AB, BC and CD are three sides of a regular octagon.
Find the size of angle BAC.
Give reasons for your answer.​

AB, BC And CD Are Three Sides Of A Regular Octagon. Find The Size Of Angle BAC. Give Reasons For Your

Answers

Answer 1

Answer:

  22.5°

Step-by-step explanation:

The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.


Related Questions

what is 2234x44321=?

Answers

Answer: 99013114

Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.

Find the minimum and maximum possible values for area of the garden

Answers

Answer:

Smallest: 12.8 square meters

Largest: 13.5 square meters

Step-by-step explanation:

I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.

The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.

[tex]3.15*4.05=12.7575[/tex]

The smallest possible area is 12.8 rounded to the nearest 10th.

The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...

[tex]3.24999*4.14999=13.4875[/tex]

That rounds to 13.5.

In a fruit basket there are 9 bananas, 4 apples, and 3 plums.



The ratio of bananas to apples is

Answers

Answer

The ratio of bananas to apples is 3 to 4

Step-by-step explanation:

Crossword math please help

Answers

Answer:

The code is 8415

Step-by-step explanation:

Help!! Solve for X round to the nearest 10th

Answers

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.

so,

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 11/sin(58)

x = 11×sin(32)/sin(58) = 6.873562871...

rounded x = 6.9

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4

Answers

Answer:

C

Step-by-step explanation:

The line would be dotted since it's > not ≥. You would shade above the line since it's greater than, not less than.

You don't need to graph the line to choose the correct answer, but if you would like to:

y - 3 > 2x + 2

y > 2x + 5

Find x.
8x-4=4x+12

Thank you!!

Answers

Answer:

4

Step-by-step explanation:

8x - 4 = 4x + 12

Add 4 to both sides:

8x = 4x + 16

Subtract 4x from both sides:

4x = 16

Divide by 4 from both sides"

x = 4


Find the equation of this line.
(0,1)
(-3,0)|
y =
x+

Answers

Answer:

y = 1/3x +1

Step-by-step explanation:

y intercept is 1 and the rise is one with a run of 3

How much money will be in an account with an initial investment of $13, 675 at 4.3% interest over 5
years if the interest is compounded annually?

Answers

The end balance in the account will be$16,948.6 and the total compound interest is $3,273.6. Does that help?

Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.

Answers

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

Given f(x) = x â’ 7 and g(x) = x2. Find g(f(4)). G(f(4)) =.

Answers

Answer:

g(f(4))=9 is the answer

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5).

Answers

Answer:

y+5=3(x-2).

Step-by-step explanation:

1) according to the condition m=3; x₁=2; y₁= -5, then

2) the required equation is y+5=3(x-2).

I NEED THIS ANWER (WILL GIVE BRAILIEST TO CERRECT)

Answers

Answer: I got 60d+115f

Step-by-step explanation:

Hope this helps.

Answer:

60d+115f

Step-by-step explanation:

if you were basically asking to simplify then this is your answer

The scale for a map to actual distance is 2 cm to 100 mi. The
driving distance on the map between Los Angeles and Las
Vegas is 6.2 cm. What is the actual distance, in miles,
between Los Angeles and Las Vegas?

Answers

Answer:

310 miles

Step-by-step explanation:

You can set up a proportion and solve for x.

2 6.2

___ = ___

100 x

Cross multiply

2x=6.2*100

Simplify

2x=620

Divide each side by 2

x=310

plz answer this 20 points

Answers

A. |8| > |7|.

Explanation: These numbers are in absolute value. Therefore, the absolute value of -8 is actually 8, which makes it greater than the absolute value of 7 in this equation.

Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41​x+5y= -x-5y=−x−5

Answers

Answer:

b

Step-by-step explanation:

please help me with this 2

Answers

6 1/8 is the answer….. I believe this is similar to your other question. In order to find the answer you need to multiply 4 units x 2 1/8
It’s like measuring but using a small rule unit hope it helped

The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.

Answers

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

PLZ HELP…..Are the following set of numbers a Pythagorean triple? 101,20,99

Answers

Answer:

Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.

Answer:

Yes, the sides would form a right triangle.

Step-by-step explanation:

[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]

Hope this helps.

Please help ill mark brainlyst please

Answers

Answer:

x = 8°

y = 21°

Step-by-step explanation:

27 + 3y = 90

3y = 63

y = 21°

x + 8x + 18 = 90

9x = 72

x = 8°

you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse

Answers

Answer:

It is 0.6 miles

Step-by-step explanation:

(4x+2)(x-3)
Expand and simplify

Answers

[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]

[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]

Answer:

Step-by-step explanation:

(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)

                    = 4x*x - 3*4x + x*2 - 3*2

                    = 4x² - 12x + 2x - 6   {Combine like terms}

                    = 4x² - 10x - 6

What is the slope of this graph? m=[slope)
100
80
60
Number of cups
40
20
16
20
8 12
Sugar (pounds)

Answers

Answer:

Step-by-step explanation:

If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps

please help thank you

Answers

k(-3)=36(2)

hope it helps

The number of children attending swimming lessons increased by 35 %. 20 children attended the lessons before the increase.
How many children now attend swimming lessons after the increase?

Answers

27 Children

20+ (0.35* 20) = 27

the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?

Answers

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

find the greatest common factor (GCF) OF each pair of number using continuous division


1.15 and 30

2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.

Answers

Answer:

1. GCF is 15.

2. 8 servings

Step-by-step explanation:

1. Continuous Division              

            3     15         30

            5      5          10

                     1           2

Multiply the factors in the left side (3 and 5)

= 15

Greatest Common Factor is 15

2. Continuous Division

              2      16         24

              2      8           12

              2      4            6

                      2            3

Multiply the factors in the left side (2,2 and 2)

= 8

Greatest number of servings is 8

HELPPPP PLS!! TY

Look at triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.

What is the length of side AB of the triangle? (1 point)

Square root of 6

3

Square root of 18

6

Answers

Step-by-step explanation:

as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.

the drawn triangle is nothing else than that.

to calculate the length of a side in such a triangle we need to use Pythagoras :

c² = a² + b²

c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.

a and b are the legs of the triangle "enclosing" the 90 degree angle.

so, we have

AB² = AC² + BC²

AC and BC we know : the coordinate differences in x and y directions.

AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.

BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.

AB² = 3² + 3² = 9 + 9 = 18

AB = sqrt(18)

FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)

What is the perimeter of this arrangement? ​

Answers

28 is the answer for your problem

Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!

Answers

The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!

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