The size of each exterior angle in a regular polygon is 20°

Work out how many sides the polygon has.​

Answer:

270

Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

Answer:

t=0

Step-by-step explanation:

The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.

Answer/Step-by-step explanation

1. When adding real numbers with the same sign the sum will have the same sign as the numbers added.

2. When adding real numbers with different signs you subtract the lesser absolute value from the greater one. The sum will then have the same sign as the number with the greater absolute value.

3. There are a couple of properties of addition:

The additive commutative property tells us that the order in which you add the numbers does not change the sum.

4. And the additive associative property tells us that it also that the order in which we group three or more numbers does not affect the sum.

5. The additive identity property tells us that the sum of a number and 0 is always the number.

6. And the additive inverse property tells us that if you add a number with its opposite you will always get 0

Answer:

C

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

They just don't :)

Answer:

False

Step-by-step explanation:

Trust me

Answer:  -5  + (10) = 5

Step-by-step explanation:

keep change flip -5 - (-10) you get -5 + (10) = 5

Answer:

12 Miles

Step-by-step explanation:

27 - 3 = 24

24 ÷ 2 = 12

Answer:

x = -3, y = -0.512

x = -1, y = -3.2

x = 0, y = -8

x = 2, y = -50

Step-by-step explanation:

Answer:

if 90% = $36

100%= ?

100%×$36

90%

3600 = $40

90

Step-by-step explanation:

you use the method of cross multiplying

Answer: Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.

Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

Step-by-step explanation:

Answer:

It's either 400 or 1,200.

Step-by-step explanation:

Other people are saying 400, I got 1,200 by multiplying 1,600 to 0.75 which gave me that answer. I do not know how other people got 400.

Answer:

5

Step-by-step explanation:

Answer:

A , E, F

Step-by-step explanation:

Three statements are true based on the graph the correct options are D, E,F

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

For option D, we can see in the graph the bus has completed 200 miles of distance between the 2nd and 3rd hour. So, there are more than 3hours remaining, and option D is correct

For option E, it is clear from the graph that after 4 hours the distance traveled by the bus is 130miles

For option F; the distance traveled in first 4 hours= total distance from home - remaining distance after 4 hours

310-130=180miles

time= 4hours

speed=distance/time

speed= 180/4= 45miles per hour

hence, D, E,F are true

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ6

Answer:

x = 10

Step-by-step explanation:

DE is the midsegment joining the midpoints of BC and AC respectively.

Therefore, by the property of midsegment of a triangle,

DE will be parallel and half of the measure of the third side of the triangle.

DE = [tex]\frac{1}{2}(AB)[/tex]

5 = [tex]\frac{x}{2}[/tex]

x = 10 units

Answer:

1/5 is a rational number

Step-by-step explanation:

"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."

Answer: 1.92

Step-by-step explanation:

Formula to find the mean absolute deviation:

[tex]MAD =\sum^{n=i}_{n=1}\dfrac{|x_i-\overlien{x}|}{n}[/tex]

, where [tex]\overline{x}=[/tex] mean , [tex]x_i's[/tex] = data values, n= number of data values.

Given data: 5,9,7,0,3,5,5

n= 7

Mean:

[tex]\overline{x}=\dfrac{5+9+7+0+3+5+5}{7}\\\\=\dfrac{34}{7}[/tex]

MAD = [tex]\dfrac {|5-\dfrac{34}{7}|+|9-\dfrac{34}{7}|+|7-\frac{34}{7}|+|0-\dfrac{34}{7}|+|3-\dfrac{34}{7}|+|5-\dfrac{34}{7}|+|5-\dfrac{34}{7}|}{7}[/tex]

[tex]=\dfrac{\frac17+\frac{29}{7}+\frac{15}{7}+\frac{34}{7}+\dfrac{13}{7}+\frac17+\frac17}{7}\\\\=\dfrac{\frac{94}{7}}{7}\\\\=\dfrac{94}{49}\approx1.92[/tex]

Hence, the  mean absolute deviation of 5,9,7,0,3,5,5 is 1.92(approx)

the sequence is 25/4(4/5)^x

plug in 10 for x to get your solution:

25/4(4/5)^10=4^9/5^8

Answer:

the answer is 6

hope it helps

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 0.4, y = 4.

=> (4) = (0.4)k, k = 10.

Hence when x = 5,

y = kx = (10)(5) = 50.

The answer is 50.

Answer:

14

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

ok so there is one angle and 2 sides

Answer:

2 + 2 + 2 + 2 + 2 + 2 = 4 × 3

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

Part a) Is x = 0 a solution to both inequalities

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

Part b) Is x = 4 a solution to both inequalities

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

solving -2x < 10

[tex]-2x\:<\:10[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]

Simplify

[tex]2x>-10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]

[tex]x>-5[/tex]

[tex]-2x<10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}[/tex]

solving -6 < -2x

-6 < -2x

switch sides

[tex]-2x>-6[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)<\left(-6\right)\left(-1\right)[/tex]

Simplify

[tex]2x<6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{6}{2}[/tex]

[tex]x<3[/tex]

[tex]-6<-2x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]

Thus, the two intervals:

[tex]\left(-\infty \:,\:3\right)[/tex]

[tex]\left(-5,\:\infty \:\right)[/tex]

The intersection of these two intervals would be the solution to both inequalities.

[tex]\left(-\infty \:,\:3\right)[/tex]  and [tex]\left(-5,\:\infty \:\right)[/tex]

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

FOR  -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

Answer:

x = 18

Step-by-step explanation:

[tex](7x - 7) \degree = (6x + 11) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 7x - 7 = 6x + 11 \\ \\ 7x - 6x = 11 + 7 \\ \\ x = 18[/tex]