Which sentence about a geometric plane is false?

What is the measure of one angle of a regular convex 20-gon

Contact [7]

Answer:

The measure of one angle of a regular convex 20-gon is 162°

Step-by-step explanation:

* Lets explain how to solve the problem

- A convex polygon is a polygon with all the measures of its interior

angles less than 180°

- In any polygon the number of its angles equal the number of its sides

- A regular polygon is a polygon that is all angles are equal in measure

and all sides are equal in length

- The rule of the measure of an angle of a regular polygon is

$m=\frac{(n-2)180}{n}$ , where m is the measure of each interior

angle in the polygon and n is the numbers of the sides or the angles

of the polygon

* Lets solve the problem

- The polygon is convex polygon of 20 sides (20 angles)

- The polygon is regular polygon

∵ The number of the sides of the polygon is 20 sides

∴ n = 20

∵ The polygon is regular

∴ All angles are equal in measures

∵ The measure of each angle is $m=\frac{(n-2)180}{n}$

∴ $m=\frac{(20-2)180}{20}$

∴ $m=\frac{(18)180}{20}$

∴ $m=\frac{3240}{20}$

∴ m = 162

∴ The measure of one angle of a regular convex 20-gon is 162°

5 0

3 years ago

A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, wher

tino4ka555 [31]

Answer:

There is a 44.73% probability that all symbols are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 26 total letters and 10 total digits.

The plate has the following format:

number, letter, letter, letter, number, number, number

Total outcomes

Each number can have 10 values.

Each letter can have 26 values.

There are four numbers and 3 letters.

So there are

$10^{4}*26^{3} = 175760000$ possible plates

Desired outcomes

We cannot have repeated values.

So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits

The same logic for the letters, 26, then 25, then 24.

So there are

10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.

(a) What is the probability that all symbols are different

$P = \frac{78624000}{175760000} = 0.4473$

There is a 44.73% probability that all symbols are different.

7 0

3 years ago

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and e

svlad2 [7]

Answer:

282.5 inches squared

Step-by-step explanation:

A triangle is half the area of a square.

So we will solve the area as if we were finding the area for a square, and then we halve the result.

Length multiply by height to get the area:

28.25 × 20 = 565 inches squared

Now, half the answer to get the area of the triangle:

565/2=282.5 inches squared

8 0

3 years ago

Write the equation of a line passing through (0, 6) and parallel to the line y = 3/2x-7

Shkiper50 [21]

Parallel = same slope
Use formula: y = mx + b
Plug in the values (solve for b)
y = 3/2x + b
6 = 3/2(0) + b, b = 6

Solution: y = 3/2x + 6

3 0

3 years ago

Find the perimeter of the shape below: (6 points)

zimovet [89]

Im pretty sure its 17.6 :)

7 0

3 years ago