Find the value of x given the EXTERIOR angle measures in a convex pentagon are x, 77, 72, 64, and 80.

Answers

Answer 1

Answer:

x = 67°

Step-by-step explanation:

The sum of the exterior angles of a convex pentagon is 360°.

Hence, by adding the given angle measures, we can find x.

⇒ x + 77 + 72 + 64 + 80 = 360

⇒ x + 149 + 144 = 360

⇒ x + 293 = 360

x = 67°

Answer 2

Answer:

The value of x is 67°

Step-by-step explanation:

We know that exterior angles of any polygon sum to 360°.

Use the given angle measures to find the sum

x + 77 + 72 + 64 + 80 = 360

Solve it for x

x + 293 = 360x = 360 - 293x = 67

Related Questions

how many ways can 3 city council members from a list of 20 candidates be selected

Answers

20C2, the answer is 190

what is the slope of the line​

Answers

Answer:

Step-by-step explanation:

(0, 2) (2, 0)

(0-2)/(2-0)= -2/2= -1

y - 2 = -(x - 0)

y - 2 = -x + 0

y = -x + 2

What is the surface area of the box formed by the pattern below?

Answers

Answer:

S.A = 2( L×W+W×H+ H×L)

= 2(2×4+4×1+1×2)

= 2(8+4+2)

2(14)

= 2×14= 28

Step-by-step explanation:

answer 28

Rewrite the equation below so that it does not have fractions:

3/4x - 2 = 5/12

Do not use decimals in your answer.

Answers

Answer:

Equation = [tex]\frac{3}{4}[/tex] x - 2 = [tex]\frac{5}{12}[/tex]

First: [tex]\frac{3}{4}[/tex] x = [tex]\frac{5}{12}[/tex] + 2

Then: [tex]\frac{3}{4}[/tex] x = [tex]\frac{29}{12}[/tex]

Answer: x = [tex]\frac{29}{9}[/tex] —> 9x = 29

—-

Have a nice day!!

What is the value of the rational expression below when xis equal to 4?
x-12/x-8

Answers

Answer:

= -7

Step-by-step explanation:

given x = 4

12/4 = 3

4 - 3 - 8 = -7

What is the mean absolute deviation.

Answers

Answer:

1.56 rounded 1.6

Step-by-step explanation:

MAD (Mean Absolute Value):

step 1: Find the mean of the data

formula: sum of the data set / total number of terms

sum of the data set: 4 + 9 + 4 + 5 + 3 = 24

total number of terms: there is 5 numbers in the data set

mean = 24 / 5

mean = 4.8

step 2: Find the distance between each data and mean.

3, 4, 4, 5, 9

Distance between 3 and 4.8 is 1.8                 (4.8 - 3 = 1.8)

Distance between 4 and 4.8 is  0.8               (4.8 - 4 = 0.8)

Distance between 4 and 4.8 is  0.8               (4.8 - 4 = 0.8)

Distance between 5 and 4.8 is -0.2               (4.8 - 5 = -0.2)

Distance between 9 and 4.8 is -4.2               (4.8 - 9 = -4.2)

step 3: take the absolute value of any negative numbers

|-0.2| and |-4.2| is 0.2 and 4.2

step 4: add all the distances

1.8 + 0.8 + 0.8 + 0.2 + 4.2 = 7.8

step 5: divided it by the number of data

7.8 / 5 = 1.56

Let me know if you have any questions !

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Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M

any help?
A : Point M
B : Point N
C : Point L
D : Point K

Answers

Point M

It is at 3.75 and negative 2.25 so it has to be it.
Answer is A -point M
See picture for reference

What is the approximate value of X?! Help ASAP please

Answers

Triangles are similar

x/5=12/1313x=60

x=60/13x=4.615x=4.62

Option E

Answer:

Both of the triangles are similar but they look like they have been rotated a bit.  Sides x is similar to 12 and side 5 (the hypotenuse) is similar to 13.  Therefore we can just set up an equation and cross-multiply.

[tex]\frac{x}{5} = \frac{12}{13}[/tex]

[tex](x * 13) = (5 * 12)[/tex]

[tex]13x = 60[/tex]

Divide 12 from both sides

[tex]13x/13 = 60/13[/tex]

[tex]x=4.615[/tex]

Best option would be Option E, 4.62

Which is a coeffecient

Answers

Answer:

B is a coefficient

Step-by-step explanation:

Coefficient of 2O2 is 2.

B = 2

now bsf yall know........

Answers

Answer:

24 - 14.4b

Step-by-step explanation:

5. John is now three times as old as Bill.
In four years, John will be only twice
as old as Bill. Find John's age.
6
A. 4
B.
C.
8
D. 10
E. 12

Answers

Answer:

12 is johns age

Step-by-step explanation:

all you have to do is multiply johns age times 3 then you get your anser

The following table gives the statements and justifications for solving the equation 4(x - 7) + 14 =
3x - 9.

Which of the following gives the justification steps in the correct order?

Answers

Answer:

From top to bottom:

Simplify

Combine like terms

Subtract 3x from both sides

Add 14 on both sides

Step-by-step explanation:

Hope this helps

i need this answer as fast and soon as possible

Answers

Answer:

1.732

Step-by-step explanation:

Answer: 1.732

Detailed Explanation:

In the question, the value of √3 is already given as approximately 1.73205081. Therefore we consider only three decimal places which would be 1.732

Urgent help!!!

Write equation in slope intercept form.

1.25 (25) = 31.25

Answers

The equation in slope intercept form is,[tex]31.25 = 1.25 \times 25 +0[/tex]. The given equation is obtained by comparing the standard equation of the straight line.

What is a slope of a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

The given equation is;

1.25 (25) = 31.25

31.25=1.25 (25)

The standard equation of the slope intercept form. is;

[tex]\rm y = mx +x[/tex]

On comparing the given equation with the above equation, we get;

y=31.25

m=1.25

x=25

c=0

The equation in slope intercept form is;

[tex]31.25 = 1.25 \times 25 +0[/tex]

Hence, the above equation is the slope intercept form.

Learn more about the slope of the straight line;

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Margot has 8 kilograms of apples.how many liters Of apple juice can Margot make. How do l do this?????

Answers

Answer:

so about 4?

Step-by-step explanation:

1 kilogram = 1,000 grams

2 kilograms = 2 times 1,000 which equals 2,000 grams

2,000 grams makes one liter

uhh this is just an educated guess...

If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?

Answers

Answer:

like a 85 hop this helps I'm so sorry have a good day stay safe

Answer:

your grade will be 166%.

Step-by-step explanation:

First I subtract 86-50=36.

second I add 100+30=130.

total is 130+36=166%

type in the correct solutions to match each graph.

Answers

Answer:

congruent and parallel those are two of them i dont know the other 2 sorry

Step-by-step explanation:

Jesse measured a farm and made a scale drawing. The scale of the drawing was 1 centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how many centimeters wide is the goat pen in the drawing?

Answers

46 is the answer have a great day

Help please I don’t get this one

Answers

Answer:

[tex]P = 8\pi[/tex]

Step-by-step explanation:

To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.

We know the diameter is 4m, thus, the circumference of one circle (two halves) is:

[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]

To get the total perimeter (circumference) multiply the result by 2:

[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]

Find the factor of each ff.
8t²-16t-4​

Answers

Answer:

For me, this quadratic expression can simply be factored by 4 because all the values divide by four. so:

[tex]4( {2}t^{2} - 4t - 1)[/tex]

Step-by-step explanation:

Just factor it by 4

Answer:

4(2t^2 - 4t - 1)

Step-by-step explanation:

8t²-16t-4​

= 4(2t^2 - 4t - 1)

2t^2 - 4t - 1  is prime so there are no more factors.

which of the follow r-values represents the no or low coorelation

Answers

The r-value that represents the no or low correlation is 0.0

How to determine the r-value?

For a r value to show no correlation, then the r value must be 0 or close to 0

Since the r values are not given, then we can assume that the r value is 0

Hence, the r-value that represents the no or low correlation is 0.0

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Calculate the volume of this cylinder, giving your answer to 1 decimal place.

Answers

Step-by-step explanation:

given radius r =20÷2=10

Height h=9

volume of cylinder

v= πr^2h = 22÷7 ( 10)^2 ×(9)

= 2828.571429.

hence the required volume of cylinder is 2828.571429

15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.

Answers

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

The first three terms of an arithmetic progression are 2x, x+4, 2x - 7 respectively.
a. Find the value of x
b. Find the three terms
(6 m
c. What is the common difference?

Answers

Answer:

a)  x = 7.5

b)  15,  11.5,  8

c)  -3.5

Step-by-step explanation:

As there is a common difference between consecutive terms of an arithmetic progression, then:

[tex]a_3-a_2=a_2-a_1[/tex]

Given:

[tex]a_1=2x[/tex][tex]a_2=x+4[/tex][tex]a_3=2x-7[/tex]

Therefore:

[tex]\implies a_3-a_2=a_2-a_1[/tex]

[tex]\implies (2x-7)-(x+4)=(x+4)-2x[/tex]

[tex]\implies 2x-7-x-4=x+4-2x[/tex]

[tex]\implies x-11=-x+4[/tex]

[tex]\implies 2x=15[/tex]

[tex]\implies x=7.5[/tex]

Inputting the found value of x into the term expressions to find the three terms of the arithmetic progression:

[tex]a_1=2(7.5)=15[/tex][tex]a_2=(7.5)+4=11.5[/tex][tex]a_3=2(7.5)-7=8[/tex]

The common difference (d) is the difference between each consecutive term.  To find the common difference, subtract one term from the next term:

[tex]\implies d=a_3-a_2= 8 - 11.5 = -3.5[/tex]

[tex]\implies d=a_2-a_1= 11.5-15 = -3.5[/tex]

Therefore, the common difference is -3.5

Two lines intersect at a point, forming angle 1, angle 2, angle 3, and angle 4.
Angle 1 and angle 3 are vertical angles.
Angle 2 and angle 4 are vertical angles.
m angle1 = 70
What is the measure of angle 2?
O 20°
O 70°
O 90°
O 110°

Answers

the measurement of angle 110°


Asking for help on this again because i reallu need it!!

Answers

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

If xy + 1/(xy) = 2 , then what does (x^2)(y^2) + 1/((x^2)(y^2)) = ?
Show all work.
Show any graphical support.
Explain what happened with both the math work and the graph(s).

Think about what happened.
Would it happen with more terms or the next function in the sequence?
Why or why not? Explain.

Answers

The value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]

So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]

The value of the expression will be calculated as:-

 [tex]xy+\dfrac{1}{xy}=2[/tex]

Squaring the above equation.

[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]

[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]

Again squaring the above expression.

[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]

[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]

Hence the value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

To know more about Expression follow

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If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?

Answers

Let's examine what the problem gives us:

Distance ⇒ 10000 milesTime ⇒ 200 ft

What does the problem want:

  ⇒ time (in hours)

Must find the relationship between distance, speed, and time:

   ⇒ Distance = Speed * Time

       ⇒  [tex]Time = \frac{Distance}{Speed}[/tex]

Let's convert some units:

We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour

               ⇒ let's convert

                  ⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]

Now let's solve:

   [tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]

Answer: 73.33 hrs (estimated)

 

A 2-pack of movie tickets costs $17.24. What is the unit price

Answers

Answer:

As the two pack of ticket cost 17.24. Mean that the unit or the price of one pack will be half of it which is

8.62

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Given ,

2 pack movie tickets costs $17.24

Unit price = $17.24/2 = $8.62

A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?

Answers

Answer:

B  =  R 100 000

Step-by-step explanation:

B will be   2  out of   4 + 3 + 2   =    2/9 of the total

            2/9 * 450 000 = 100 000

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