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mote1985 [20]
2 years ago
11

Please explain i really don’t understand

Mathematics
1 answer:
Lemur [1.5K]2 years ago
8 0

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

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the perimeter of a rectangle is 56 m. if the width were doubled and the length were increased by 8 m, then the perimeter would b
Natasha2012 [34]
----------------------------------------------------------------
Define x and y:
----------------------------------------------------------------
Let the length be x.
Let the width be y.

----------------------------------------------------------------
Formula:
----------------------------------------------------------------
Perimeter = 2(Length + Width)

----------------------------------------------------------------
Construct equations and solve for x and y:
----------------------------------------------------------------
2x + 2y = 56            ---------------------- (1)
2(x+8) + 4y = 82     -----------------------(2)

----------------------------------------------------------------
From equation 1:
----------------------------------------------------------------
2x + 2y = 56
x + y = 28
x = 28 - y

----------------------------------------------------------------
From equation 2:
----------------------------------------------------------------
2(x+8) + 4y = 82 
2x + 16 + 4y = 82
2x + 4y = 66
x + 2y = 33

----------------------------------------------------------------
Substitute x = 28 - y into equation 2:
----------------------------------------------------------------
x + 2y = 33
(28 - y) + 2y = 33
28 - y + 2y = 33
y = 5

----------------------------------------------------------------
Substitute y = 5 into equation 1:
----------------------------------------------------------------
x = 28 - y 
x = 28 - 5
x = 23

----------------------------------------------------------------
Find Length and Width
----------------------------------------------------------------
Length = x = 23 m
Width = y = 5m

----------------------------------------------------------------
Answer: Length = 23m and Width = 5m
----------------------------------------------------------------
3 0
3 years ago
Corey has a garden in the shape of a square. The garden covers 64 square feet. What are the possible dimensions?
Valentin [98]

Answer:

64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8.

Step-by-step explanation:

If a garden covers 64 square feet <em>total, </em>then you simply find the common factors of 64.

64: 1, 2, 4, 8, 16, 32, 64.

So, the possible dimensions are,

64 = <u>1 x 64, 2 x 32, 4 x 16, or 8 x 8</u>

Square feet total is 64. So put 4x16 or 8x8 or 2x32. Because if you multiply lets say 4x16, that would equal 64 square feet total.

If you were to multiply 64x64 that would be 4,096 square feet. and that would be a BIG NO NO!!!

4 0
3 years ago
Marcella's house cost $120 000. she paid 20 percent down payment and then borrowed the rest at 6.5 percent for 20 years. if she
chubhunter [2.5K]

Answer:

20% of 120,000 is 24,000 so 120,000-24,000 is 96,000

Now if she pays 7.46 for every 1000 she will have to repay 716.16 over 20 years.

Step-by-step explanation:


5 0
3 years ago
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Please help me with this :/ I will give Brainiest! I just really need help. Please
ollegr [7]

Did you ever get the answer to this?

8 0
3 years ago
5, –20, 80, <br><br> The geometric sequence?
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Step-by-step explanation:

This sequence is that you should multiply the number by 4 and one number should be positive the other should be negative so

5 -20 80 -320 1280

5 0
3 years ago
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