# The sum of the measures of the interior angles of a polygon is 1620°. How many sides does the polygon have? __

QUESTION POSTED AT 18/01/2020 - 07:18 AM

QUESTION POSTED AT 18/01/2020 - 07:18 AM

You should end up with 11 sides............

sum=(n-2)180

1620=(n-2)180

n-2=9

n=11 sides

sum=(n-2)180

1620=(n-2)180

n-2=9

n=11 sides

**8 meters is the answer**

ANSWERED AT 21/02/2020 - 10:42 AM

QUESTION POSTED AT 21/02/2020 - 10:42 AM

9

Because 9x2 is 18+7=25

Because 9x2 is 18+7=25

ANSWERED AT 20/02/2020 - 10:55 PM

QUESTION POSTED AT 20/02/2020 - 10:55 PM

1. I belive this is in simplest form already.

2. 4s+9

3. 8s+4r

4. -2r+4

5. 6s

Hope that helps a little bit!

2. 4s+9

3. 8s+4r

4. -2r+4

5. 6s

Hope that helps a little bit!

ANSWERED AT 20/02/2020 - 10:55 PM

QUESTION POSTED AT 20/02/2020 - 10:55 PM

**Answer:**

**The possible answer is 10 in. **

**Step-by-step explanation:**

Two sides of a triangle measure 5 in. and 12 in.

If three side of triangle are a, b and c then sum of two side is always greater than third side.

**Sum of two side greater than third side. **

a+b>c

a+c>b

b+c>a

**Difference of two side is less than third side.**

a-b<c

b-c<a

a-c<b

Here, we are given two sides of a triangle 5 in and 12 in.

Possible length of third side be

**12-5 < c < 12+5 **

**7<c<17**

Third side must be lie between 7 to 17.

According to option, Third side must be equal to 10 in.

**Hence, The possible answer is 10 in. **

ANSWERED AT 20/02/2020 - 10:45 PM

QUESTION POSTED AT 20/02/2020 - 10:45 PM

Indirect measurements are useful when it is not possible to measure the object. For some reason. Scientists use indirect measurements when the measure the, temperature of a flame my measuring the wavelength of the light being given off

ANSWERED AT 20/02/2020 - 10:42 PM

QUESTION POSTED AT 20/02/2020 - 10:42 PM

1) rectangle

2)cylinder

3)retangular prism

4) hemisphere

2)cylinder

3)retangular prism

4) hemisphere

ANSWERED AT 20/02/2020 - 10:38 PM

QUESTION POSTED AT 20/02/2020 - 10:38 PM

Yes because if you round 405 and 385 the closest number to each number would be 400!

Hopefully This Helped You!

:)

Hopefully This Helped You!

:)

ANSWERED AT 20/02/2020 - 10:35 PM

QUESTION POSTED AT 20/02/2020 - 10:35 PM

Length of triangle 48/3=16

75/100*16=12

length of new triangle=16+12=28

75/100*16=12

length of new triangle=16+12=28

ANSWERED AT 20/02/2020 - 10:33 PM

QUESTION POSTED AT 20/02/2020 - 10:33 PM

It is impossible for two angles to fit in all four categories.

If two angles are complementary, their angle measures equal 90° so, it wouldn't be possible for the angle measures to equal 180°. 90 ≠ 180. Also, adjacent angles share a common vertex and a common side, however, vertical angles never share a common side.

Hope this helps! :)

If two angles are complementary, their angle measures equal 90° so, it wouldn't be possible for the angle measures to equal 180°. 90 ≠ 180. Also, adjacent angles share a common vertex and a common side, however, vertical angles never share a common side.

Hope this helps! :)

ANSWERED AT 20/02/2020 - 10:31 PM

QUESTION POSTED AT 20/02/2020 - 10:31 PM

7cm because two sides of a triangle are equal so the shortest side is the bottom and the other two sides are equal 7cm

ANSWERED AT 20/02/2020 - 10:29 PM

QUESTION POSTED AT 20/02/2020 - 10:29 PM

A. Complementary angles

ANSWERED AT 20/02/2020 - 10:28 PM

QUESTION POSTED AT 20/02/2020 - 10:28 PM

First, please look up "supplementary angles." Two supplementary angles add up to ... what?

Represent the angles algebraically. Let the smaller angle be x and the larger angle by y.

How would you express "12 degrees less than three times its supplement?"

Represent the angles algebraically. Let the smaller angle be x and the larger angle by y.

How would you express "12 degrees less than three times its supplement?"

ANSWERED AT 20/02/2020 - 10:25 PM

QUESTION POSTED AT 20/02/2020 - 10:25 PM

Please provide more information or a picture.

ANSWERED AT 20/02/2020 - 10:25 PM

QUESTION POSTED AT 20/02/2020 - 10:25 PM

**Answer:**

**Step-by-step explanation:**

He can not construct a triangle because when you add up two of the side lengths they are supposed to be greater the the remaining side length for example 8+14>23 would be incorrect because 8+14 equals 22 which means it would not be greater than 23 and therefore that is why he can not construct a triangle.

ANSWERED AT 20/02/2020 - 10:22 PM

QUESTION POSTED AT 20/02/2020 - 10:22 PM

Tan55 = x/43

x = tan(55) * 43

x = 61.4 cm

x = tan(55) * 43

x = 61.4 cm

ANSWERED AT 20/02/2020 - 10:18 PM

QUESTION POSTED AT 20/02/2020 - 10:18 PM

42 like 6x7=42 it is the same okay do you jet it now ?

ANSWERED AT 20/02/2020 - 10:16 PM

QUESTION POSTED AT 20/02/2020 - 10:16 PM

2x(8+13)

Because 2x8=16 &

2x13=26

26+16=42 which is the same as the 30+12.

It basically looks like this: 2x8+2x13.

There's also the rule that you have to solve the multiplication before the addition one.

(2x8)+(2x13) also works

Because 2x8=16 &

2x13=26

26+16=42 which is the same as the 30+12.

It basically looks like this: 2x8+2x13.

There's also the rule that you have to solve the multiplication before the addition one.

(2x8)+(2x13) also works

ANSWERED AT 20/02/2020 - 10:14 PM

QUESTION POSTED AT 20/02/2020 - 10:14 PM

C they are congruent

ANSWERED AT 20/02/2020 - 10:10 PM

QUESTION POSTED AT 20/02/2020 - 10:10 PM

The perimeter of a polygon is proportional to its side so:

18 : 16

24 : p

p = 21.3 meters

Area is proportional to the square of the side of a polygon so:

18² : 1000

24² : x

x = 1,777.8 square meters

Note: The value of the perimeter should not be less than the length of one side. The data may be incorrect. Regardless, the method will be the same.

18 : 16

24 : p

p = 21.3 meters

Area is proportional to the square of the side of a polygon so:

18² : 1000

24² : x

x = 1,777.8 square meters

Note: The value of the perimeter should not be less than the length of one side. The data may be incorrect. Regardless, the method will be the same.

ANSWERED AT 20/02/2020 - 10:06 PM

QUESTION POSTED AT 20/02/2020 - 10:06 PM

B acute because they r all smaller then 90

ANSWERED AT 20/02/2020 - 09:54 PM

QUESTION POSTED AT 20/02/2020 - 09:54 PM

180-94-37=49D........

ANSWERED AT 20/02/2020 - 09:52 PM

QUESTION POSTED AT 20/02/2020 - 09:52 PM

The correct answer is A

ANSWERED AT 20/02/2020 - 09:50 PM

QUESTION POSTED AT 20/02/2020 - 09:50 PM

Where is the picture

ANSWERED AT 20/02/2020 - 09:37 PM

QUESTION POSTED AT 20/02/2020 - 09:37 PM

⇒ΔXYZ -------**Reflected**----------ΔX'Y'Z'--------**Dilated by a scale factor of 2 to Obtain** ------------ΔX"Y"Z".

When two objects are compared ,such that one of which is reflection of other , the two Geometrical shape are Congruent.The** Meaning of Congruent is Corresponding Sides as well Corresponding Angles are equal.**

So, **ΔXYZ≅ΔX'Y'Z'**

⇒When One Image is **dilation** of Other, the two Geometrical shapes are Similar.

When shapes are **Similar, Corresponding Sides are Proportional and Corresponding Angles are equal.**

⇒ **ΔXYZ ~ ΔX'Y'Z'**

**Remember this Property**

**⇒**Congruent shapes are always Similar, but Similar shapes are not always Congruent.

**Correct Statements are**

**Option A: →**Triangle XYZ is congruent to triangle X'Y'Z'.

**Option C: →**Triangle XYZ is similar to triangle X”Y”Z”.

**Option D:→**Triangle X”Y”Z” has longer side lengths than triangle XYZ.

ANSWERED AT 20/02/2020 - 09:30 PM

QUESTION POSTED AT 20/02/2020 - 09:30 PM

KM is 1.3 because KL is 3 & since JM bisects KJL is almost half and half

ANSWERED AT 20/02/2020 - 09:29 PM

QUESTION POSTED AT 20/02/2020 - 09:29 PM

I believe it's 60?

Not sure though

Not sure though

ANSWERED AT 20/02/2020 - 09:27 PM

QUESTION POSTED AT 20/02/2020 - 09:27 PM

I think u times 8 and 40 together

ANSWERED AT 20/02/2020 - 09:27 PM

QUESTION POSTED AT 20/02/2020 - 09:27 PM

2.25mm, 3mm and 3.75mm

ANSWERED AT 20/02/2020 - 06:09 PM

QUESTION POSTED AT 20/02/2020 - 06:09 PM

**Answer:**

option 4: Cosec ∠B equals 4 over 3

**Step-by-step explanation:**

**Given** :In Right triangle ABC

AB = 5

AC = 6

**BC = 8. **

Solution : we will use trigonometric ratios

.

Since we know that options are given for cot angle and cosec angle

So, we will consider trigonometric ratios of cosec angle and cot angle i.e.

cosec θ= Hypotenuse/Perpendicular

cotθ = Base/Perpendicular

Option 1 : cot angle B equals 6 over 5

Since cotθ = Base/Perpendicular

For ∠B base is AB and perpendicular is AC (refer the attached figure )

therefore , Cot ∠B = AB/AC

⇒**Cot ∠B = 5/6 **

Thus Cot ∠B equals 5 over 6

while **we are given cot angle B equals 6 over 5 **

Hence **option 1 is wrong**

Now, consider option 2 cosec angle C equals 3 over 4

cosec θ = Hypotenuse/Perpendicular

For ∠C perpendicular is AB and Hypotenuse is BC(refer the attached figure )

therefore , Cosec ∠C = BC/AB

⇒**Cosec ∠C = 8/5**

Thus Cosec ∠C equals 8 over 5

while **we are given Cosec ∠C equals 3 over 4.**

Hence** option 2 is wrong.**

Now, consider option 3 cot angle C equals 8 over 5

Since cotθ = Base/Perpendicular

For ∠C base is AC and perpendicular is AB (refer the attached figure )

therefore , Cot ∠C = AC/AB

⇒**Cot ∠B = 6/5**

Thus Cot ∠C equals 6 over 5

while** we are given cot angle C equals 8 over 5 **

Hence **option 3 is wrong.**

Now, consider option 4 cosec angle B equals 4 over 3

cosec θ = Hypotenuse/Perpendicular

For∠B perpendicular is AC and Hypotenuse is BC(refer the attached figure )

therefore , Cosec ∠B = BC/AC

⇒Cosec ∠B = 8/6

**Cosec ∠B = 4/3**

Thus Cosec ∠B equals 4 over 3

And** we are given the same Cosec ∠B equals 4 over 3.**

Hence** option 4 is correct**.

ANSWERED AT 20/02/2020 - 01:31 PM

QUESTION POSTED AT 20/02/2020 - 01:31 PM

**Answer:**

Option C.

**Step-by-step explanation:**

A triangle ABC is rotated counterclockwise (about a point P) by an angle = 100° to create a new triangle A'B'C'.

After rotation points A,B and C will overlap A', B' and C' respectively but angles A, B and C of triangle ABC will remain unchanged.

Therefore, ∠C'A'B' ≅ ∠CAB ≅ 70°

**Option C** will be the answer.

ANSWERED AT 20/02/2020 - 01:26 PM

QUESTION POSTED AT 20/02/2020 - 01:26 PM