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

Answered by admin 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
Post your answer

Related questions

A circle has an area of 50 square meters. Which answer is closest to the measure of its diameter?

8 meters is the answer

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


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

The sum of twice a number and seven is twenty five

9

Because 9x2 is 18+7=25

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


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

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side? 3 in. 6 in. 10 in. 18 in.

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

How are inderect measurements useful

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

Kara wanted to round to the nearest ten to estimate the sum of 405 and 385. She wrote 400+400=800. Do you agree with Kara? Explain why or why not

Yes because if you round 405 and 385 the closest number to each number would be 400!
Hopefully This Helped You!
:)

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


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

An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of .75 ,what is the length of each side of the new triangle?

Length of triangle 48/3=16
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

Can two angles fit in all four categories

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! :)

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


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

Two sides of a triangle are 5cm and 7cm what is the third side

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

An angle measures 12 degrees less than three times it's supplement. Find the measure of the angle.

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?"

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


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

If triangle ABC has A=52, side a=200, and side b= 234, then which of the following is true?

Please provide more information or a picture.

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


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

Ted has the following triangle dimensions. side length of 8 side length of 14 side length of 23 How many triangles can he construct? A.He can construct only one triangle. B.He can construct two triangles. C.He can construct three triangles. D.He cannot construct a triangle.

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

Rewrite the expression as a multiple of a sum of two numbers with no common factor. 30 + 12

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

How do I rewrite the expression as a multiple of a sum of 2 numbers with no common factor? 30 + 12

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

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


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

A side of one polygon is 18 meters and the corresponding side of a second similar polygon is 24 meters. If the perimeter of the first polygon is 16 meters and it's area is 1000 square meters find the perimeter and area of the similar polygon

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.

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


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

Classify the triangle with angles measuring 85°, 60°, and 35°. A. Right B. Acute C. Obtuse

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

Find the missing angle measure in ΔABC. A = 94°, B = 37°, C = ____° A. 94 B. 37 C. 149 D. 49

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

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


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

Triangle XYZ is reflected across the y -axis to form triangle X'Y'Z'. Triangle X'Y'Z' is dilated by a scale factor of 2 to form triangle X”Y”Z” . Which statements correctly describe triangle XYZ, triangle X'Y'Z', and triangle X”Y”Z”. Answer Choices: A. Triangle XYZ is congruent to triangle X'Y'Z'. B. Triangle X'Y'Z' is congruent to triangle X”Y”Z”. C. Triangle XYZ is similar to triangle X”Y”Z”. D. Triangle X”Y”Z” has longer side lengths than triangle XYZ.

⇒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

I'm confused, I'm guessing your supposed to find the area and then subtract one of the sides, but I'm not sure.

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

What is x if the angle is 40 degrees

I believe it's 60?
Not sure though

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


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

What is x if the angle is 40 degrees

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

Given the triangle below, which of the following is a correct statement? Right triangle ABC with AB measuring 5, AC measuring 6, and BC measuring 8. cot angle B equals 6 over 5 csc angle C equals 3 over 4 cot angle C equals 8 over 5 csc angle B equals 4 over 3

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

∆ABC is rotated 100° counterclockwise about point P to create ∆A'B'C'. what is angle m C'A'B'?A.50° B.60°C.70°D.100°

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