What is the area of FGH

In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.

Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are x, y, and two vertices of the polygon

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

The sum of the measures of the interior angle and the exterior angle at any vertex of the polygon is 180°

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

The sum of the measures of the exterior angles of any polygon is 360°

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0

2 years ago

A physical education teacher plans to divide the seventh graders at Wilson Middle School into teams of equal size of year-ending

Crank

Step-by-step explanation:

Consider the provided information.

The total number of students are: 24+26+21=71

He wants each team will have the same number of students between 5 and 9.

The number between 5 to 9 are 6, 7 and 8.

The number 71 is a prime number so we need to divide the 71 students in group so that minimum students left without team.

Dividing 6 students in each group.

Number of teams: $\frac{71}{6}$ = 11 teams and 5 students.

Dividing 7 students in each group.

Number of teams: $\frac{71}{7}$ = 10 teams and 1 students.

Dividing 8 students in each group.

Number of teams: $\frac{71}{8}$ = 8 teams and 7 students.

Thus, we can not divide 71 students into equal teams, but 70 divided by 7 gives the least students left out i.e 10 teams each with 7 students and only 1 student will remain at last.

6 0

3 years ago

Esther has a farm.

Gnesinka [82]

Here, we are required bro determine how many worker Esther needs to employ to pick the same 600kg of onions in 3 hours as compared to 4 hours from last year.

This year, she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

According to the data given, the total quantity of onions to be picked still remains 600 kg as from last year, only that she needs it done in 3 hours now.

Therefore,

Since 24 workers finished the work in 4 hours,
This means that 96 workers are needed to finish the work in 1 hour( from 24×4 = 96).

Therefore, since the work needs to be done in 3 hours this year, This means that it can be shared between X no. of workers.

Where X = 96/3= 32

Therefore, this year she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

Read more:

brainly.com/question/3796978

4 0

2 years ago

A

Lelu [443]

Answer:

Pumpkins are used as decorations during the fall months.

3 0

2 years ago

Principal $4,700 Interest rate 4% time 10 months, what is the simple interest and maturity level?

Naddik [55]

The simple interest of $4,700 principal at 4% interest and 10 months is $156.67 and its maturity level is 83%.

<h3>What is simple interest?</h3>

Simple interest refers to the interest calculated only on the principal.

With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.

<h3>Data and Calculations:</h3>

Principal = $4,700

Interest rate = 4%

Period = 10 months

Simple interest = $156.67 ($4,700 x 4% x 10/12)

Thus, the simple interest of $4,700 principal at 4% interest and 10 months is $156.67 and its maturity level is 83%.

Learn more about simple interests at brainly.com/question/

6 0

2 years ago