Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination

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The value of x is 11.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given equations

5x + 2y =  67

x = 3y - 7

substitute the value of x in equation 1

5(3y - 7) + 2y = 67

15y - 35 + 2y = 67

17y = 67 + 35

17y = 102

y = 6

and x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence value is 11.

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Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

Answer:

The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.

Answer:

D) 16

Step-by-step explanation:

TE=8

TE is half of FE, meaning that FE is equal to double TE.

8x2=16

Hope this helps :)

Step-by-step explanation:

-2x-6=8x+ 12-x-4

x-2x-6=8x+12-4

-2x - 6 = 7x + 8 or -9x - 6 = 8 are the equivalent equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

To solve the equation -2(x+3)= 4(2x+3)-(x+4), Katrina can use equivalent equations obtained by simplifying each side of the equation using the distributive property, combining like terms, and solving for x.

One possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4 \\-2x - 6 = 7x + 8[/tex]

Another possible equivalent equation is:

[tex]-2(x+3)= 4(2x+3)-(x+4)\\-2x - 6 = 8x + 12 - x - 4\\ -2x - 6 = 7x + 8\\-9x - 6 = 8\\-9x = 14 \\x = -14/9\\[/tex]

Therefore, the equivalent equations that Katrina can use to solve the original equation are:

-2x - 6 = 7x + 8 or -9x - 6 = 8

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Answer:

A:Tina's. B: Gabby's

Step-by-step explanation:

Luckly the two people are using the same unit to measure both time (in weeks) and height (in inches), so no conversion needed.

At this point, let's start dealing with the questions.

A. They bought the plants at week 0.

For Tina, we calculate [tex]f(0) = 0+1.5 = 1.5[/tex]

For Gabby, we scout the table till we find week 0 and check the corrisponing value: it's (0; 1) Since 1 is smaller than 0, at start Tina plant was taller.

B. The easiest way would be to stare at Gabby's table for a bit, and notice that each increase is 2 more than the previous, and the progression starts at 1. We can write it as an equation as [tex]g(x) = 2x+1[/tex]. If you confront with Tina's growth, you can tell that Gabby's plant grows twice as fast - the slope is double. Else, you can see that even just after one week, Tina's plant will be 2.5 in tall, while Gabby's outgrew hers already. That's possible only if the plant is growing faster.

Answer:

100 + 100 + 30 + 30 + 30 + 30 = 320 cm^3

Answer:

n+45

Step-by-step explanation:

Just name "a number" as n or any other variable

Answer:

45 + x

Step-by-step explanation:

Answer:

(-1,-1) I think

Answer:

0.83 pounds

Step-by-step explanation:

2.45 take away 1.62

Answer:

30

Step-by-step explanation:

What you need to do is add all the sides when you want to find perimeter so for this one you would want to do 8+8+7+7 and that should give you 30. I hope I could help!!

Answer:

Step-by-step explanation:

assuming it is a rectangle, there is no information on the shape of the quadrilateral, add all sides.

7 + 8 + 7 + 8 = 30 units

Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

Answer:

For (a)

Well let “x” be amount of sales

And let ”y” be total pay

so 1200 is the base pay/ weekly

And a 5 percent commission on amount of sales

5 percent can be written as 0.05

Now we can make an equation

1200+0.05x = Y

So that would be your equation

Now for (b)

If she sold 10,000 that week as commission we can just plug it into our equation

1200+0.05(10,000)=y

Now solve

5 percent of 10,000 is 500 dollars.

Now 1200+500=1700

(b) is 1700 earned that week

Now for (c)

We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.

So same equation

1200+0.05x=3000

x=36,000 have to be solve in order to make 3,000 income Per week.

Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Answer:

B

Step-by-step explanation:

The sum of 6 and x is less than or equal to - 20.

Answer:  (6+x) ≤ -20

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table

m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (2, - 3 ) , then

- 3 = - 6 + c ⇒ c = - 3 + 6 = 3

The y- intercept c = 3 → D

Answer: x = -(8/3)

Step-by-step explanation:

7=3(5+x)

7=15+3x

3x = -8

x = -(8/3)

Answer:

20, 35, 50

Step-by-step explanation:

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

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

check

26 + 28 = 54

Answer:

for the die it's a 4 to 6 chance and the coin is a 50% chance

Answer:

6,10,14

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4 quest make 1 gallon so 4*3=12

Answer:

Since it is symmetrical, the angles will be the same on both sides.

So EFG = 56*

And 180* - 56* = 124*

And 124* / 2 = 62*

So m<FEG = 62*

Answer:

D- 62

Step-by-step explanation:

Answer:

1 hr, 48 minutes

Step-by-step explanation:

you can create a proportion:

doughnuts/hours = doughnut/hours (h)

1500/9 = 300/h

cross-multiply to get:

1500h = 2700

h = 27/15

h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60