A polygon which is regular has interior angles measuring 150°. This polygon is called a:​

Answers

Answer 1

Answer:

Step-by-step explanation:

equilateral triangle

Answer 2

Answer:

Dodecagon (12 - sided polygon)

Step-by-step explanation:

Let it be n- sided polygon.

Sum of interior angles is 150n.

On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:

S = 180(n - 2)

Compare the sums and solve for n:

180(n - 2) = 150n180n - 360 = 150n180n - 150n = 36030n = 360n = 360/30n = 12

12-sided polygon is called dodecagon


Related Questions

5. Resolve into factors. a) 2x + 5x + 3
please do this

Answers

Hi there!

[tex]\large\boxed{(2x + 3)(x + 1)}[/tex]

We can split into factors using the "guess and check" method.

Factors are in the format of:

(ax + b)(cx + d), where in this instance:

a · c = 2

bc + da = 5

b · d = 3

Thus, we get:

(2x + 3)(x + 1)

Answer:

2x^2 +5x +3            3*2 =6  and 3+2 = 5

2x2 +2x +3x +3

2x(x +1) + 3(x+1)

(x+1)(2x+3)

     

Step-by-step explanation:

Solve for x: −3x − 3= −3(x + 1)

Question 4 options:

All real numbers


No solution


6


−6

Answers

Answer:

all real numbers

Step-by-step explanation:

The equation of x has No solution.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

−3x − 3 = −3(x + 1)

Expanding the brackets we get,

−3x − 3 = −3x − 3

Collecting like terms together we get,

−3x +  3x = −3 + 3

Solving we get,

0 = 0

So, this equation has no solution.

Thus, the equation of x has No solution.

To learn more about equations here :

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if x:14= 1:7, find x. P​

Answers

Answer:

2

Step-by-step explanation:

x:14 = 1:7

x/14 = 1/7

x = 14/7

=> x = 2

Solve the equation.
30- (x + 5) = 7x-7
The solution is x =

Answers

Answer:

[tex] - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864[/tex]

________o____o_____

30–(x+5)=7x-7

30 – x–5 =7x -7

7x+x = 30-5+7

8x = 32

x= 32/8

x=4

I hope I helped you^_^


X=4
30-x+5=7x-7
25-x=7x-7
-x+25=7x-7
-x=7x-32
(subtract 7x from both sides)
-8x=-32
(divide by -8) (remember negative times negative= positive)
X=4

8 more than a number is 14. Find the number

Answers

Answer:

the answer is 6

Step-by-step explanation:

14 minus 8 is 6

V=s^2h/3
Find the volume of a square pyramid If ‘s’ is increased by 30% and ‘h’ remains constant

Answers

Answer:

1.69s^2h/3.

Step-by-step explanation:

New s = 1.3s

New volume = (1.3s)^2h /3

= 1.69s^2h/3.

THE father is 20 years older than his son five years ago he was three times as old as his son was find their present ages (STEP BY STEP PLZ) (HOPE U ENJOY IT)​​

Answers

the answer is the son is 10 and the dad is 20 because 5 - 20 = 15 (15/3 = 5) (5+5 = 10)

The area of a cuboid = 2 (lb + bh + lh) and volume = l*b*h. Find the area and volume of these cuboids.
I) l =7 cm,b= 5 cm,h=3 cm
please help me with this question step by step I have to submit it in 10. minutes I will mark you as brainlist​

Answers

Answer:

Area = 142 cm^2, Volume = 105 cm^3

BRAINLIEST, PLEASE! (ALMOST AN ACE!)

Step-by-step explanation:

Area: lb + bh + lh

l = 7, b = 5, h = 3

2((7)(5) + (5)(3) + (7)(3))

2(35 + 15 + 21)

2(50 + 21)

2(71)

142 cm^2

Volume: lbh

l = 7, b = 5, h = 3

(7)(5)(3)

35(3)

105 cm^3

got some math for yall

Answers

Answer:

option A is correct answer

Use the figure below to answer these questions

Answers

Answer:

thus is so easy

Step-by-step explanation:

too easy

solve for u 2(4u-9)=14
plzzzz
will give brailiest

Answers

ANSWER:
u=4

EXPLANATION:
distribute the 2 and simplify.

Answer:

4 is the answer

Step-by-step explanation:

2 (4u-9)=14

8u-18=14

8u=14+18

8u =32

divide by 8

u=4 answer

i have no idea how to solve this help

Answers

Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Is the following number rational?
-.19

Answers

it is rational because you can express it as a fraction -19/100

Find the measures of
21
and
22
80°
2102°

Answers

Answer:

Angle 1 is 22°

Angle 2 is 78°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

To find Angle 2, you would have to do 180° take away 102°.

180-102=78°

Angles in a triangle also add up to 180°.

So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.

80+78=158°

180-158=22°

Hope this helps :)

If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°

Answers

Answer:

B

Step-by-step explanation:

Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )

We are given that angle MOK and angle JOM are supplementary

Supplementary angles add up to 180

This means that:

angle MOK + angle JOM = 180

If angle JOM = angle LOK

Then angle MOK + angle LOK also = 180

If angle MOK = 66 and angle LOK = x + 64

Then 66 + x + 64 = 180

Note that we've just created an equation that we can use to solve for x

We now solve for x

66 + x + 64 = 180

Combine like terms

66 + 64 = 130

130 + x = 180

Subtract 130 from both sides

x = 50

We also want to find the measure of angle LOK.

To do so we simply plug in the value of x into x + 64

angle LOK = x + 64

x = 50

angle LOK = 50 + 64 = 114

So x = 50 and angle LOK = 114

Hence the answer is B

find the GCF of 3,14,5?

Answers

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

Answer:

1

Step-by-step explanation:

Factors for 3: 1 and 3  

Factors for 5: 1 and 5  

Factors for 14: 1, 2, 7, and 14

Since 1 is the greatest common factor in 3,5,14 ,

GCF = 1

23. The table shows the number of hours a group of friends
worked doing various jobs and the amount each earned.
Select the correct hourly rate to complete the table. Then
place a checkmark in the row for the person who had the
greatest hourly rate.
Hours
Amount Earnings Greatest
Worked Earned (s) per hour ($) Hourly Rate?
36.25
Caleb
5
Jeremy
7.5
65.25
Maria
4.25
34.00
Rosa
8
54.00

Answers

calebs hourly rate- $7.25
jeremys hourly rate- $8.70
maria’s hourly rate- $8.00
rosas hourly rate- $6.76

A jar contains some number of pennies. When pennies are removed 2, 3, 4, 5, 6 or 8 at a
time, one penny is left over. There are no pennies left over when they are removed 7 at a
time. What is the least number of pennies that could be in the jar?

Answers

Answer:

721.

Step-by-step explanation:

The total number must be a multiple of 7

One less than the number is the LCM of 2 3 4 5 6 and 8.

The LCM is worked out as follows

2

3

4 = 2*2

5

6 = 2*3

8 = 2*2*2

LCM = 2*2*2* 3*5 = 120

But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.

240 + 1 = 241 - not divisible by 7

480 + 1  = 481 - not divisible by 7

720 + 1 = 721

721/7 = 103

Answer:

Step-by-step explanation:

Let say n the number of pennies in the jar.

n is a multiple of 7 : n=7*k

n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120

n-1=120*t

n-1=120*t

n=7*k

120*t=7k-1

7k=120*t+1

[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]

The least number of pennies is 721 (when a=0)

Proof:

n-1=720

720/2=360

720/3=240

720/4=180

720/5=144

720/8=90

721/7=103

Given the points A(-1, -2), B(-1, 2) and C(6,0), use the distance formula to
classify the triangle
by its sides.

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

A triangle that contains 2 equal sides but one side different

5x - 7.4 (x - 3) + 8.1

Answers

Answer:

-2.4x + 30.3

Step-by-step explanation:

5x - 7.4 (x - 3) + 8.1

5x - 7.4x + 22.2 + 8.1

-2.4x + 30.3

Can someone help me on this please.

Answers

Ok so when u do this you have to put alottttt

HELP MARKING BRAINLIEST EXTRA POINTS !!
explain how you would find the perimeter and area of the quadrilateral shown on the coordinate grid what does the slope of the segments that are what sides of the figure have to do with classifying the quadrilateral. ​

Answers

Answer:

The quadrilateral is a rectangle[tex]Perimeter=8\sqrt{2} \,\,Unit[/tex][tex]Area=6\,\,sq.unit[/tex]

Step-by-step explanation:

Given,

[tex]A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)[/tex]

Now,

[tex]Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC[/tex]

[tex]AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle[/tex]

[tex]Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit[/tex]

[tex]Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit[/tex]

Hope you have understood this.....  

ask me if you have any confusion.....  

if you liked it pls mark it as the brainliest

5x-4[7+(2x-4)], for x=-3
with shown work please

Answers

Answer: -3

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x= -3

Given expression

5x - 4 [7 + (2x - 4)]

Substitute x value into the expression

=5(-3) - 4 [7 + (2(-3) - 4)]

Simplify by multiplication

=-15 - 4 [7 + (-6 - 4)]

Simplify value in parentheses

=-15 - 4 [7 + (-10)]

Simplify value in bracket

=-15 - 4 [-3]

Simplify by multiplication

=-15 - (-12)

=-15 + 12

=[tex]\boxed{-3}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

5×(-3)-4{7+[2×(-3)-4]}
-15-4[7+(-6-4)]
=-15-4[7+(-10)]
=-15-4(7-10)
=-15-4×(-3)
=-15+12
=-3

Hope my answer helped u :)

how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s

Answers

Answer:

I think answer is 195.Is it right make me a braillent

student.

If the perimeter of a rectangle
is 124m & the width is 35m,
what is the length?

Answers

Let length be x

ATQ

[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]

[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]

[tex]\\ \sf\longmapsto 2x+70=124[/tex]

[tex]\\ \sf\longmapsto 2x=124-70[/tex]

[tex]\\ \sf\longmapsto 2x=54[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]

[tex]\\ \sf\longmapsto x=27m[/tex]

Solve each of the following quadratic equations.

a. x^2-8x+ 15 = 0

b. 2x^2 - 5x - 6 =0​

Answers

Answer:

[tex]a. \: \: x = 3 \: \: and \: 5[/tex]

[tex]b. \: \: x = \frac{5± \sqrt{73} }{4} [/tex]

Step-by-step explanation:

[tex]a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5[/tex]

[tex]b. \: \: 2x^2 - 5x - 6 =0 \\ x = \frac{5± \sqrt{73} }{4} [/tex]

Hope it is helpful....

Addison owes his mom $39. He earned $30 for mowing his neighbors lawn and then lent his sister $21. Which expression represents Addison's financial situation?

A. -39 - 30 - 21
B. -39 + 30 - 21
C. 39 - 30 + 21
D. 39 + 30 + 21​

Answers

B as -$39 as he owes his mom that, then +30 as he earned it and then since he lent his sister $21 that’s $21 less so -$39+$30-$21

Answer:

B

Step-by-step explanation:

because he owes that automatically negative .

he also earns 30 plus dollars

and he gave away 21 dollars and giving away is taking away .

Nikki's cousin lives 60 miles away, so Nikki decided
to take the train to visit him. If the trip took
2 hours, how many miles per hour did the train
travel?

Answers

Answer:

30

Step-by-step explanation:

just divide 60 by 2

If the distance between Nikki's cousin and Nikki is 60 miles and covered in 2 hours then the speed of the train is 30 miles per hour.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Nikki's cousin lives 60 miles away, so Nikki decided to take the train to visit him. If the trip took 2 hours. Then the speed of the train will be

[tex]\rm Speed = \dfrac{60}{2}\\\\Speed = 30 \ miles/hour[/tex]

More about the speed link is given below.

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Which equation represents a line which is parallel to the x-axis?
y = x - 1
y = 8
x = - 5
x = - 3y​

Answers

Answer:

y = 8

Step-by-step explanation:

The equation of a line parallel to the x- axis has equation

y = c

where c is the value of the y- coordinates the line passes through.

Then

y = 8 ← is equation of line parallel to the x- axis

Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?

Answers

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

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