the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S

NEED STEP BY STEP EXPLANATION

Answer:

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

c) Solve the equation.

Substitute x in the second equation and solve for y:

Then find x

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

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Answer: Roy

Step-by-step explanation:

(5, -1) has a positive x value and negative y value. Therefore, it is in the 4 quadrant which is the bottom right corner. In this case, Roy is the only one in the 4 quadrant where the community center is.

Answer:

its in between joe and dan

Step-by-step explanation:

Answer:

a.  Oscar charges more to tutor for 5.5 hours than Latoya.

b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.

Step-by-step explanation:

Charges by Oscar:

1st hour of tutoring = $25

Additional hour or fraction = $15

For tutoring for 5.5 hours, Oscar charges:

1st hour of tutoring = $25

4.5 hours of additional tutoring = $75 ($15 * 5)

Total charges = $100

Charges by Latoya:

= 30x, 0.6, where x = hours of tutoring

Total charges = 30 * 5.5 * 0.6 = $99

Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).

are they being multiplied or added or subtracted?

Answer:

(3, -1)

Step-by-step explanation:

3x +y = 8

-3x   =-3x

Y=-3x +8 Substitute into 1st equation           y=-3x+8

2x-7(8-3x+8)= 13                                                 -3(3) + 8

2x-56+21x= 13                                                       -9 +8

23x-56 =13                                                        y = -1    

     +56= +56

23x   =      69

23             23

   x = 3

solution (3, -1)

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Answer:

x² + 4x + 3

Step-by-step explanation:

Dividing by (x - 5) then use h = 5 as divisor

5 | 1    - 1    - 17    - 15

    ↓     5     20     15

   -------------------------------

     1     4      3       0 ← remainder = 0

quotient = x² + 4x + 3

[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.

Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.

Synthetic division of the given question-

5    |     1        -1        -17        -15

                     5         20        15

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

           1         4         3           |0|          

Remainder = 0

Quotient = [tex]x^{2} + 4x+3[/tex]

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4

In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25

In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17

In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6

In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13

Answer:

kinectic + electric = internal

Step-by-step explanation:

Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.

Answer:

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .

Energy on a smaller scale

Internal energy includes energy on a microscopic scale

It is the sum of all the microscopic energies such as:

translational kinetic energy

vibrational and rotational kinetic energy

potential energy from intermolecular forces

One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Given that there is 50% chance of having a boy in a single birth.

Let it be represented by p, so

p=50%=0.5

According to Bernoulli's theorem, the probability of exactly r success in n trials is

[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]

where p is the probability of success.

So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is

[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]

As p=0.5, so

[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]

=0.375

Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.

Answer:

the slope is 3

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:

-5/15 = -1/3

This means we have a slope of -1/3.

Alternatively, we could just the points and put them into the slope formula.

We have the points (0,25) and (15,20). We can substitute those values into the formula:

m = y₁ - y₂ / x₁ - x₂

m = 25 - 20 / 0 - 15

m = 5/-15

m = -1/3

Works all the same.

Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x−6−3x

−2x+4=−6

Step 2: Subtract 4 from both sides.

−2x+4−4=−6−4

−2x=−10

Step 3: Divide both sides by -2.

−2x /−2 = −10 /−2

x = 5

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

Answer: 348

Step-by-step explanation:

Given : Total employees work = 725

Proportion of employees are post graduate = 52%

Proportion of employees are not post graduate = 100%-52% = 48%

The number of employees were not post graduate  = 48% of 725

= 0.48 x  725

= 348

Hence, the number of employees were not post graduate  = 348

A) £3264000.

. £1000 increased by 5000% =£51,000

. £51,000×64=£3264000

B) £6528000

. £2000 increased by 5000% =£102,000

. £102,000×64=£6528000

Step-by-step explanation

Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

Answer:

C. y=4/5x + 8 is the answer

Answer:

The answer is D: y= -4/5x + 8

Answer:

From Calculating, the slope would be 0.

Step-by-step explanation:

           This is because of the fact that the two points create a straight line across the x-axis. The points do not have any distance up or down, the only distance is 8 units across. The slope would be 0 because there isn't a slope, only a distance. Hope this helps.

Answer:

A) - 7

slope -intercept form       y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Step-by-step explanation:

Explanation:-

Given that slope 'm' = -3 and point (0,-7)

The equation of the straight line passing through the point and having slope 'm'

y - y₁ = m ( x- x₁)

The equation of the straight line passing through the point ( 0,-7) and slope m = -3

y - (-7) = -3 ( x -0)

y +7 = -3x

3x +y + 7=0

The equation of the line 3x +y + 7=0

Final answer:-                                        

slope -intercept form      y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Answer:

4. Obtuse

5. Right

6. Acute

Step-by-step explanation:

Pythagorean Theorem.

a^2 + b^2 = c^2

a + b > c = Acute

a + b < c = Obtuse

a + b = c = Right

Answer:

35

Step-by-step explanation:

20 + 15 = 35

hope this helps

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

Answer:

B.

Step-by-step explanation:

Irrational as π is irrational.