Mathematics High School

a polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​

Answers

Answer 1
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180
​

⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.

Related Questions

(HELP FAST PLEASE)
Robert runs 2 1/3 laps in 4 1/3 minutes. At this rate how long will it take to run 3 laps?

Answers

Answer:

7

Step-by-step explanation:

This is easy. You simply see what 2 1/3 is of 3. The answer is 7.

Please make brainliest!

Answer:

[tex]5 \frac{7}{50}[/tex]

Step-by-step explanation:

we can write the following ratios

laps:time

2.333:4.3333

3:x

To solve this just multiply 4.333 by 1.28571428571 (this is what we mulitplied 2.333 by to get 3)

do this and round to get 5.14 minutes

let's convert this into a fraction just in case

5.14= 514/100 = 257/50 = 5 7/50

Nico gives himself $90 a month to spend on fast food. He spends
$30 a week. The graph represents the amount of money Nico
has left after each week.

Answers

well if he spends $30 a week the the money should last about 3 weeks. so there wold be 3 weeks worth of money each month. so you can assume that he uses $1080 a year. and he buys fast food for 36 weeks.

The floor of a rectangular living room is 12 feet by 16 feet. What is the distance between
opposite corners of the living room?

Answers

Answer:

The width of Dana's living room is 16 feet.

Explanation:

Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.

For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:

a

2

+

b

2

=

c

2

Let the length of 12 be

a

and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let

c

be 20. Substituting and solving gives:

12

2

+

b

2

=

20

2

144

+

b

2

=

400

144

−

144

+

b

2

=

400

−

144

0

+

b

2

=

256

b

2

=

256

√

b

2

=

√

256

b

=

16

What is the constant in the
expression below?
15 – 4b
A
B
С

Answers

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

com/forms/d/e/1FAIpQLSeaV3E4GEivw--oxpi043rlf3g1huKMHD79-ccdtkntgEc32g/viewform?hr_submission=Cho
Question 2: Using the following data [2.5 kg, 3.1 kg, 3.4 kg, 3.5 kg, 3.5 kg, 4 kg,
4.1 kg] calculate the interquartile range
I need the lower quartile upper quartile and the interquartile range

Answers

Answer:

interquartile should be 3.45kg

lower quartile is 2.8kg

upper quartile is 3.75kg

A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?

Answers

200m i’m pretty sure
1000 metres =5 rounds
1000/5=200 metres= 1 round
Perimeter of square = 4 times length
4 times length =200
Length =200/4
Length =50 metres

Divide.Enter the quotient in the simplest form.

7/10 divided by 4/5

Please hurry

Answers

I think it’s .22 I’m not sure hope this helps :)

James has $45 in his savings account. Each week, he earns and deposits $100 from mowing the family lawns. Write an equation that represents his total, y, after x weeks.

Answers

Answer:

i might have forgot

Step-by-step explanation:

opps

Answer is y=100x + 45

As he gets 100 each week the total for x number of weeks is 100x
He had 45 to begin with so in total after x weeks he has 100x plus the 45 he begun with which is 100x+45 = y

help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?

Answers

Answer

Step-by-ste$6.48- $6.00= $.48

.48÷ 6.0= 0.08

0.08 = 8%

tax rate is 8%

p explanation:

Answer:

3%

Step-by-step explanation:

6.18-6.00 = .18

.18/6.00= .03

.03= 3%

X-3+7(x + 3) - 3x – 12

Can someone simplify it or expand it please I need it in like 5 mins !

Answers

Answer:

5x+6

Step-by-step explanation:

x-3+7x+21-3x-12

5x+6

[tex] =\tt x - 3 + 7(x + 3) - 3x - 12[/tex]

[tex] =\tt x - 3 + 7x + 21 - 3x - 12[/tex]

[tex] =\tt 7x + x - 3x - 3 - 12 + 21[/tex]

[tex] =\tt 8x - 3x - 15 + 21[/tex]

[tex] \color{plum}=\tt\bold{ 5x + 6}[/tex]

▪︎Therefore :

[tex]\color{hotpink} =\tt x - 3 + 7(x + 3) - 3x - 12 \color{plum}=\tt\bold{ 5x + 6}[/tex]

Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know

Answers

Answer:

Step-by-step ex

♥ Hey Valerie Here! ♥ please help

Answers

Answer:

C?

I hope this helps, if not C than A- i get them mixed at times- Sorry

Step-by-step explanation:

♥ Hey Grey Here! ♥

The figure below shows a right triangle:

What is r ÷ p equal to? (6 points)

Group of answer choices

A. sin y°

B. sin x°

C. tan y°

D. tan x°

Answers

Answer:

tan y°

Step-by-step explanation:

by using the Sine Rule (See attached), we can form the equation:

[tex]\frac{r}{sin (y)} = \frac{p}{sin (x)}[/tex]

rearranging this, we get:

[tex]\frac{r}{p} =\frac{sin(y)}{sin(x)}[/tex]   ---------------------eq 1

Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°

i.e x + y = 90°

with a little rearranging, we get

x = (90° - y)

Substituting this into eq 1 above, we get:

[tex]\frac{r}{p} =\frac{sin(y)}{sin(90- y)}[/tex]  ---------eq 2

recall that from the trigonometric co-function identities,

sin (90°- y) = cos y

substituting this into eq 2 gives :

[tex]\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)[/tex]   (answer)

Sx - 2y = 3
-5x + 4y = 9
Solve the system of equations.
es -
A)
x = 6, y = 3
B)
* = 6, y = 13
x = 3, y = 6
D)
x = 1, y = 0

Answers

Answer:

Yes

Step-by-step explanation:

i would like to know this question and can you show your work to so I can understand

Answers

Answer:

162

Step-by-step explanation:

a=[tex]\frac{a+b}{2} h[/tex]

a=base and the base is 13 ft.

b= also means base which is 23 ft.

h= height which is 9 ft.

so 13+23 is 36

36/2 is 18

and 18 times 9 is 162

sorry for the lengthy answer but i hope this helps :) have a nice day !!

simplify 4 to the 11th power over 4 to the -8th power

Answers

Answer:

274878070200

Step-by-step explanation:

4 to the power 11 = 4194304

4 to the power -8 = 0.00001525878

4194304/0.00001525878 = 274878070200

. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon of vanilla.
What is the unit rate of cups per teaspoon?

Answers

X= 4/3 = 1 1/3 cups.
1 1/3 cups per 1 teaspoon of vanilla
To get to 1 tbs we multiply 1/2 by 2
If you do that to one side you have to do it to the next
2/3 x 2 is 4/e which simplifies to 1 1/3

Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.

Answers

If I am not wrong, n = 105, because 660-555=105.

Find the area...
HURRY!!!!!

Answers

Answer: 38

Step-by-step explanation:

what is the y-value

y = 6x – 3

x+2y = 7

Answers

Answer:

i love algebra anyways

the ans is in the picture and the steps how got it

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

work out the value of x and y?

Answers

Step-by-step explanation:

x = 49° { being vertically opposite angles }

y = 63° (being alternate angles)

Hope it will help :)

7x + 4 = 25, then x is equal to

a) 29/ 7 b) 100/7 c) 2 d/ 3

Answers

Answer:

d) 3

Step-by-step explanation:

7x+4=25

7x=21

X=3

Answer: D. 3

Step-by-step explanation:

Given

7x+4=25

Subtract 4 on both sides

7x+4-4=25-4

7x=21

Divide 7 on both sides

7x/7=21/7

x=3

Hope this helps!! :)

Please let me know if you have any questions

Sombody pls help me:(

Answers

1: 8:1

2: 2/4:3/4

3: 1:2

4: 32/4:3/4

Mrs. Smith took her bird to the vet. Tweety weighed 1 and 3/10 pounds. The vet said that Tweety weighed 4/10
pound more last year. How much did Tweety weigh last year?

Answers

Add 4/10 to the bird’s current weight of 1 an 3/10...you get 1 and 7/10 pounds
(or 1 7/10)

solve for x and y in the parallelogram

Answers

Answer:

x=3

y=6

Step-by-step explanation:

Hope this helps! :)

Piz help me fast asap thx​

Answers

Answer:

y = 476^x

Step-by-step explanation:

y = 250(1.904)^×

y = 476^x

Hope this helps, thank you !!

Answer:

Loading. . .

Step-by-step explanation:

Can anyone answer this for me thanks.

Answers

Answer:

ghhhbvhnv

Step-by-step explanation:

kjkjkjjn,nj,jn,jn

WILL GIVE BRAINLIEST AND 20 POINTS!
Find m∠x given m∠y = 25°.

Answers

Step-by-step explanation:

If <y=A

In this case 360-25=335

Plzzzzzzzz HELP!!!!!!

Answers

It should be =8.32362

add x³-2x²y+4xy²-y³,2x³-5xy²+3x²y-4y³​

Answers

Answer:

Step-by-step explanation:

.......................................

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