1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lina20 [59]
1 year ago
8

Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles

will fit together perfectly, as shown in the diagram. Show calculations to prove that she is wrong.

Mathematics
1 answer:
HACTEHA [7]1 year ago
4 0

From calculations, we can say that the given tiles will not fit together perfectly.

<h3>How to find the sum of interior angles of a Polygon?</h3>

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

Read more about Interior angles of a Polygon at; brainly.com/question/224658

#SPJ1

You might be interested in
Describe does Glide Reflection from the preimage triangle and black to the image triangle in red
AveGali [126]

Answer:

d

Step-by-step explanation:

Lets look at V which is at (2,-4).

We will also look at it's image V' which is at (-2,-1).

Let's go through the choices:

a. translation left 4 units and down 1 unit reflection x axis

Translating V left 4 and down 1 would give us (2-4,-4-1)

(-2,-5)

Reflecting that across the x-axis would give us

(-2,5).

So this is not (-2,-1) so let's move on...

b. translation left 2 units and up 2 units reflection line x=1

Translating V left 2 and up 2 gives us

(2-2,-4+2)

(0,-2)

Now reflecting this over x=1 gives us

(2,-2). ( Imagine this x=1 which is verical going right smack between points (0,-2) and (2,-2).)

We still did not reach our goal image.

c. translation left 2 units up and up 3 units reflection y axis

Starting at V(2,-4) and moving left 2 & up 3 gives (2-2,-4+3)=(0,-1).

Now reflecting this over the vertical axis, the y-axis, gives us (0,-1).

So we did not reach our (-2,-1) point yet.

d. translation left 2 units and 3 units reflection line x=-1.

​Starting at (2,-4) then moving left 2 and up 3 gives us (2-2,-4+3)=(0,-1).

Now we are reflecting over x=-1 which means we want to choose a point on the side making x=-1 the middle. Thuis point on the other side of (0,-1) of x=-1 would be (-2,-1) which is the goal.

8 0
3 years ago
What is 5+5 jfkkckdndnd
mario62 [17]
5+5 is ten............
5 0
3 years ago
Read 2 more answers
Find the midpoint of the segment between (6,7) and (6,-5)
Norma-Jean [14]

Answer:

(6,1)

Step-by-step explanation:

midpoint = ((x2+x1),(y2+y1)/2)

= (6+6)/2, (-5+7)/2

= 12/2, 2/2

= 6,1

3 0
3 years ago
Read 2 more answers
A triangle with a base of 10 units and height of 8 units. Find the area of the triangle. The area of the triangle is square unit
Semmy [17]
The area is 40 units
6 0
2 years ago
Read 2 more answers
What group of numbers does -2 belong to?
Marizza181 [45]
Answer: Integers and Rational Numbers

Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:

Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.

Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.

Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.

Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.

So, -2 belongs in Integers and Rational Numbers

Hope this helps!
3 0
3 years ago
Other questions:
  • Please help as much as you can and also explain how you got the answer
    9·1 answer
  • What is a greater quanity 1/3 or 50 percent? PLEASEEEEE!!!!!!
    8·2 answers
  • when you multiply 126 and 5 tens I'm step 3 , why does its product have a zero in the ones place? Explain
    10·1 answer
  • Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
    6·1 answer
  • Bruces hourly wage decreased from $15.00 to $12.00. What is the percent decrease
    7·1 answer
  • True or false I’m confused ?
    13·1 answer
  • Find the area of this circle.<br> Use 3.14 to approximate .<br> A = ar2<br> 14 ft<br> A = [ ? ] ft?
    9·1 answer
  • Please help me and the top is C <br> What angle is this?
    10·1 answer
  • The angle of measure 0 is?
    11·2 answers
  • What is the surface area of this shape?<br> 1 cm<br> 5 cm<br> 4 cm<br> 2 cm<br> 6 cm<br> 3 cm
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!