The interior angle of a polygon is 3degrees greater than the exterior angle.find the sum of the angles of the polygon​

Answers

Answer 1

Step-by-step explanation:

We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .

According to the Question ,

> x + x + 3 = 360°

> 2x = 357=

> x = 357°/2

> x = 178.5°


Related Questions

help asap please ------------------

Answers

Answer:

Correct answer 1

Step-by-step explanation:

Can some help with this problem

Answers

Answer:

20 degrees.

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.

A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is​

Answers

Answer:

Step-by-step explanation:

someone help me please with this algebra problem

Answers

Answer:

D.

Step-by-step explanation:

She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.

Answer: D.

Find the HCF of:
3x and 6x.​

Answers

Answer:

3x

Step-by-step explanation:

We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,

[tex]\implies Numbers = 3x \ and \ 6x [/tex]

Let's factorise the numbers , we get .

[tex]\implies 3x = 3 \times x [/tex]

[tex]\implies 6x = 3\times 2 \times x [/tex]

The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .

[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]

CAN SOMEONE HELP ME ASAP!!!

Answers

Answer:

5÷35 = 1/7× 100

Step-by-step explanation:

P(E)= n(E)÷ n(s)

Answer:

17%

Step-by-step explanation:

Add all of the students up and then form a ratio:

30 students in total; 5 seniors/30 students

5/30 = 1/6 = 16.67%

(I think that's the answer, hope it helps)

Help..................​

Answers

Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

Write the equation of the line parallel to =12−6 that passes through (2,−3).

Answers

Answer:

y=2-3

Step-by-step explanation:

using a calculator

Answer qn in attachment​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct .

Step-by-step explanation:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]

[tex]option \: b \\ thank \: you[/tex]

What conversion ratio was skipped in this multiple-step conversion? ​

Answers

Answer:

B

Step-by-step explanation:

B was missed. You have to convert this from hours into minutes before you can deal with seconds.

Can someone help me with this math homework please!

Answers

Answer:

-7x and -2x

Step-by-step explanation:

because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.

they're kind of like 2 separate equations. hope this helped! :)

Find (f9)(x).

A.
B.
C.
D.​

Answers

Answer:

(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)

Step-by-step explanation:

Mathematically;

(fg)(x) = f(x) * g(x)

so we have;

4x^2 +x^4 * √(x^2 + 4)

But √(x^2 + 4) = (x^2 + 4)^(1/2)

So we have;

(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)

Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3

2. 4:15

3. 3/10

4. 13/21

5. 6/16

6. 8:11

7. 9:20

8. 11:25

9. 5/16

10. 7/12

11. 6:13

12. 4:9

13. 2:5

14. 19/45

15. 12/25

Please make it quick

Answers

Answer

15. 12/25

Step-by-step explanation:

Because the surface value of this question

Solve for x. Round to the nearest tenth, if necessary.

Answers

Use cos,

COS= ADJ/HYP

COS(61)= 5.5/X

Final answer:

X= 5.5/COS(61)

X= 0.1 [rounded to nearest tenth]
X = 0.1 hoped this helped

Which expression is equivalent to c+c - 7c?

1- 6c
-5c
c- 6

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]

[tex]\huge\textsf{c + c - 7c}[/tex]

[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]

[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]

[tex]\large\textsf{= 2c - 7c}[/tex]

[tex]\large\textsf{= \bf -5c}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

C+c-7c

2c-7c

(2-7)C

-5C

The daily listening audience of an AM radio station is five times as large as that of its FM sister station. If 144,000 people listen to these two radio stations, how many listeners does the FM station have?

Answers

Answer:

The number of FM listereners are 24000.

Step-by-step explanation:

Let the listeners of FM are p and thus the istereners of AM are 5p.

According to the question,

p + 5 p = 144000

6 p = 144000

p = 24000

The number of FM listereners are 24000.

18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2

Answers

Answer:

B

Step-by-step explanation:

When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function

With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it

Thus;

f(x) = x^2 would be;

g(x) = (x-4)^2

Corresponding to a shift to the right of upto 4 units on the x axis

Answer:

g(x)= (x-4)^2

Step-by-step explanation:

Plato/Edmentum

A big box can hold 12 marbles and a small box can hold 5 marbles. There are a total of 99 marbles. How many big boxes are there?

Answers

Answer:

7 cajas grandes y 3 cajas pequeñas  

Step-by-step explanatio:

the pair of the lines x^2-3y^2=0 and the straight line x=a enclose a triangle which is

Answers

Step-by-step explanation:

x²-3y²=0x=√3y and x-√3yΔOAB is equilateral triangle∴ orthocentre and centroid of ΔOAB concides ∴ orthocentre =( 29/3 ,0)=( x1 + x2 + x3 / 3 , y1 + y2 + y3 / 3 )I NEED BRAINLIEST ✌️ PLZ

You are selecting meals for a school event and you are planning on at least 240 students at this event. The chicken meal will cost $5 and the beef meal will cost $8 per serving. Your total budget is $1200.00. Select a system of linear inequalities that shows the various numbers of Chicken and Beef meals you can prepare. Let x = number of chicken meals and let y = number of beef meals.

Answers

Answer:

x + y ≥ 240

5x + 8y ≤ 1200

Step-by-step explanation:

Assume;

Number of chicken meals = x

Number of Beef meals = y

Total budget = $1200

Find:

Inequality

Computation:

Number of chicken meals + Number of Beef meals  ≥ Total students

x + y ≥ 240

Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)

5x + 8y ≤ 1200

What is the multiplicative rate of change for the exponential function f(x) = 21
2

Answers

I’m not sure but you should search it up

x + 3 = 5. Find the value of x.

Answers

Answer:

2

Step-by-step explanation:

=> x + 3 = 5

=> x = 5-3

=> x = 2

Answer:

x=2

Step-by-step explanation:

x=5-3

x=2

value of x is 2

39. Boat ride
A boat travels 50 miles
due west before adjusting
its course 25 degrees north of west and traveling an
additional 35 miles. How far is the boat from its point of departure?
How far as the boat from
its point of departure?

Answers

Answer:

64.0655322 miles is maybe the answer

Which product is positive?

O (2/5) (-8/9) (-1/3) (-2/7)

O (-2/5) (8/9) (-1/3) (-2/7)

O (2/5) (8/9) (1/3) (-2/7)

O (-2/5) (-8/9) (1/3) (2/7)

Answers

Answer:

D

Step-by-step explanation:

because there is an even number of negatives\

Hope this help have a good day

Answer:

4 th option

Step-by-step explanation:

The product of an even / odd amount of positive numbers is positive

The product of an even amount of negative numbers is positive.

The product of an odd amount of negative numbers is negative.

Option 1

The product of 1 positive and 3 negative numbers will be negative

Option 2

Similar to option 1

Option 3

The product of 3 positive and 1 negative will be negative

Option 4

The product of 2 negative and 2 positive numbers will be positive

Answer the questions about the perpendicular bisector below.

Answers

Given:

The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).

To find:

The perpendicular bisector of line segment DO.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of DO is:

[tex]Midpoint=\left(\dfrac{1+7}{2},\dfrac{5+(-1)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(4,2\right)[/tex]

Therefore, the midpoint of DO is (4,2).

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of DO is:

[tex]m=\dfrac{-1-5}{7-1}[/tex]

[tex]m=\dfrac{-6}{6}[/tex]

[tex]m=-1[/tex]

Therefore, the slope of DO is -1.

We know that the product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]m_1\times (-1)=-1[/tex]

[tex]m_1=1[/tex]

The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-2=1(x-4)[/tex]

[tex]y-2+2=x-4+2[/tex]

[tex]y=x-2[/tex]

Therefore, the equation of the perpendicular bisector of DO is [tex]y=x-2[/tex].

can anyone help me here asapp,, I am in this question for nearly an hour

Answers

Answer:

See below

Step-by-step explanation:

Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:

AB^2 - BD^2 = AD^2

We have the values of AB and BD, so we can substitute them and solve for AD:

x^2 - (x/2)^2 = AD^2

x^2 - x^2 / 4 = AD^2

AD^2 = 3x^2 / 4

AD = x√3 / 2

DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:

AD^2 + DE^2 = AE^2

(x√3 / 2)^2 + x^2 = AE^2

3x^2 / 4 + x^2 = AE^2

AE^2 = 7x^2 / 4

AE = x√7 / 2

Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4

Therefore, we can come to the conclusion AE^2 = 7 EC^2


A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.

Answers

Answer:

∆a = 1/2

Step-by-step explanation:

parabolas cross the x-axis at (-4, 0) and (6, 0)

y = a(x + 4)(x - 6)

At the y-intercept x = 0

y =  a(0 + 4)(0 - 6)

y = -24a

-----------------------

y-intercept of the first parabola is (0,–12)

-12 = -24a

a = 1/2

-----------------------

y-intercept of the second parabola is (0, -24)

-24 = -24a

a = 1

----------------------

What is the positive difference between the a values

∆a = 1 - 1/2

∆a = 1/2

Find the sum
(-4) + 2/3 ​

Answers

Answer:

[tex]-3\frac{1}{3}[/tex]

Step-by-step explanation:

---------------------------------------

Given:

[tex](-4)+\frac{2}{3}[/tex]

--------------->>>>

Make the denominators the same.

[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]

--------------->>>>

Multiply inside the parenthesis.

[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]

--------------->>>>

Join the denominators.

[tex]\frac{-12+2}{ 3}=[/tex]

--------------->>>>

Add the numerators.

[tex]-\frac{10}{3}[/tex]

--------------->>>>

Convert to mixed fraction.

[tex]-3\frac{1}{3}[/tex]

---------------------------------------

Hope this is helpful.

Answer:

-10/3.

Step-by-step explanation:

(-4). 2

----- + ------

1 3

we have to make the denominator same:

so.,

-4. ×. 3. -12

---- ---- = ------

1. ×. 3. 3

-12 2. -12+2

---. + ---- =. -----------

3. 3. 3

-10

=. ----

3

Which of the following is not a congruence theorem or postulate?
A.) AAS
B.) SSS
C.) AA
D.) SAS

Answers

Answer:

C.) AA

Step-by-step explanation:

AA is a similarity theorem

hope this helps stay safe :)

Answer:

The answer would be C.

Step-by-step explanation: Hope this helps :)

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

What is the equivalent equation solved for h?

StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h

Answers

The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

Subject of Formula

From the question, we are to determine the equivalent equation solved for h

From the given information,

The amount of potential energy, P, is modeled by the equation

P = mgh

To determine the equivalent equation solved for h, we will make h the subject of the equation,

From,

P = mgh

Divide both sides of the equation by mg

That is,

[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]

∴ [tex]\frac{P}{mg} = h[/tex]

Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

Learn more on Subject of formula here: https://brainly.com/question/24155675

#SPJ1

Answer

B

Step-by-step explanation:

Edge 2022

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