A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°

Answer:

Measure the border between the black lines and the distance between the two places. Then calculate the difference.

Step-by-step explanation:

EX: Let’s say distance is 10 inches distance and 7 inches distance between cities.

7/10–> 7x36/10x36

252/360

And then simplify!

Answer:

4500

Step-by-step explanation:

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]

Here, (a) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

https://brainly.com/question/26271153

Answer: b

Step-by-step explanation:

Answer:

0.

Step-by-step explanation:

For x-intercepts:

25x^2 + 4 = 0

x^2 = -4/15

There are no real square roots of a negative value, so there are no x-intercepts.

Answer:

the fiftieth term is 76

Step-by-step explanation:

first subtract 15 by 6

15-6= 9

22+ 6 (9)

6 x 9= 54

22 + 54= 76

Answer: 76

Answer:

5(3x + 4y)

= (5×3x) (5×4y)

=15x + 20y

Step-by-step explanation:

Simplify by expanding

I'm not sure if this is the answer you want but I hope it helps

Answer:

answer is 3182

Step-by-step explanation:

hdjsiabehdk

Answer:

No. Only 1 to 100, logically.

Let's make a scenario to solve this.

So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.

Now we must create another scenario.

For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

One adult at the front ~ ten students in a line ~ Second adult

Answer:

Area of triangle

Multiplication property of equality

Substitution property of equality

Step-by-step explanation:

Hope this helps

So, it is proven that the area of triangle ABC is  [tex]\frac{1}{2} * a*b*SinC[/tex].

A triangle is a 2D shape having three sides and the sum of all angles is 180°.

We have,

A ΔABC,

And,

AB = c

BC = a

CA = b

H = Altitude of the triangle,

Now,

Area of triangle [tex]=\frac{1}{2} * Base *Altitude[/tex]

i.e.

Area of triangle ABC [tex]=\frac{1}{2} * a*h[/tex]     .....(i)

Now,

Using trigonometric ratios,

[tex]Sin C = \frac{Perpendicular}{Hypotenuse}[/tex]

i.e.

[tex]Sin C = \frac{h}{b}[/tex]

We get,

h = b * SinC

Now,

putting this value in equation (i),

We get,

Area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex]  

So,

It is proved that area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex] ,

Hence, we can say that it is proven that the area of triangle ABC is  [tex]\frac{1}{2} * a*b*SinC[/tex], using trigonometric ratios and the triangle's area formula.

To know more about triangles click here

https://brainly.com/question/2272632

#SPJ2

Answer:

24 boxes in 4 packs.

36 boxes in 6 packs.

60 boxes in 10 packs.

600 boxes in 100 packs.

Step-by-step explanation:

If 6 boxes are in 1 pack and 12 in 2, you can use a ratio, which is 1:6 meaning for every 1 pack are 6 boxes.

There are two ways you can get an answer

Multiplication:

For however many packs there are you multiply it by 6 boxes.

For 4 packs, you multiply it by 6 boxes. You would get 24 boxes.

For 6 packs, you multiply it by 6 boxes again getting 36 boxes.

Below is a table I made for an example.

P | B

1  | 6

2 | 12

3 | 18

4 | 24

5 | #

6 | 36

10 x 6 is 60

100 x 6 is 600.

whenever the multiplier starts with 1 and ends in 0, just add the number of zeros behind that number. Example: 7 x 1,000,000 = 7,000,000

Answer:

12

Step-by-step explanation:

Answer:

The name of this term is a quartile.

2.673 is the asnwer to your quesstion.

Brainly patrol, this is a real answer. Stop it.

the area of both rectangles is 34yd²

hope it really helps...!!!

Answer:

[tex]p = \frac{11}{12}[/tex]

Step-by-step explanation:

If we roll two number cubes we can summarize the results in the following table (Check table in the attachment)

According to table of sum we roll two numbers with a sum less than or equal to 10 in 33 cases out of a total of 36 result

Then

The probability of rolling two numbers with a sum less than or equal to 10 is: 33/36 = 11/12

Answer: 70 - 79

hope this helps! :)

Answer:

The answer is 7,540 to the nearest tenth. If I'm wrong put it in the comments olease

The radius of the toy ball is 24.5 millimeter (to nearest tenth)

Let, r be the radius of the sphere.

Then the surface area of the sphere = [tex]4\pi r^{2}[/tex] sq. unit

The structure of the toy ball is sphere.

Given, Surface area of the toy ball = 7543 square millimeter

Let, the radius be r millimeter

∴  [tex]4\pi r^{2}[/tex] = 7543

⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{4*3.14}[/tex]  , where [tex]\pi[/tex] = 3.14

⇒  [tex]r^{2}[/tex] = [tex]\frac{7543}{12.56}[/tex]

⇒  [tex]r^{2}[/tex] = 600.56

⇒ r = [tex]\sqrt{600.56}[/tex]

⇒ r = 24.5 (approx)

Radius = 24.5 millimeter (to nearest tenth)

Learn more about Surface area of sphere here :

https://brainly.com/question/27311622

#SPJ2

Dividends that are nonqualified are taxed the same as short-term capital gains, which is lower than the investor's marginal tax rate.

This is defined as the amount of additional tax paid for every additional dollar earned as income.

The additional amount calculated therefore makes nonqualified dividends to have a lower value than it.

Read more about Marginal tax rate here https://brainly.com/question/14435010

#SPJ1

Answer: dividends that are NONQUALIFIED are taxed the same as short-term capital gains, which is EQUAL TO the investors marginal tax

Step-by-step explanation:

Answer: 113.04 in^2

Step-by-step explanation:

area of a circle = pir^2

R = 12/2 = 6

A= 3.14 * 6^2

= 113.04

Answer:

d. 2,000

Step-by-step explanation:

400 (total) / 0.20 (per click) = 2,000

Answer:

the ratio of apples to oranges is 4:6 because there are 4 apples for every 6 oranges.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7 times

Step-by-step explanation:

Prob of landing on 4: 1/5

1/5 * 35 = 7

Answer: 7

Step-by-step explanation:

Answer:

Number 1

Step-by-step explanation:

Functions have to have no repeating x-intercepts.

Answer:

the answer is D, 1/20

Step-by-step explanation:

i got it wrong the first time but just look at the correct answer choice

The experimental probability is 1/20 that a piece of paper randomly drawn from the bowl will have the number 35 written on it.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

As per the given stem-and-leaf plot, the required solution would be as:

First, determine the total number of pieces of paper pulled from the bowl by totaling the entries in the stem-and-leaf plot.

The stem-and-leaf layout has 40 numbers, with two of them being 35.

As a result, two of the forty pieces of paper drawn had the number 35 scrawled on them.

So, the experimental probability of the piece of paper having 35 on it is :

2/40 = 1/20.

To learn more about the stem-and-leaf diagram click here:

https://brainly.com/question/8450114

#SPJ2

Step-by-step explanation:

b = 147° ( vertically opposite angle )

c + 147 ° = 180° ( supplementary angle )

c = 180° - 147°

c= 33°...

Answer:

Step-by-step explanation:

b = 147°    {Vertically opposite angles are congruent}

Linear pair: A linear pair is a pair of adjacent angles whose non-common arms form a line ( opposite rays)

c + 147 = 180          {Linear pair}

         c = 180 - 147

c = 33°