4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5

Answer:

Step-by-step explanation:

c

so you have to combine like terms so subtract 8 - 4 and the 4 disappears so it be like this

8 - 2x = 4 + x

-4 -2x = -4 + x

4 - 2x = x

next combine the like terms of the 2x so

4 - 2x = x

4 + 2x = +2x

4 = 2x

now you divide 4 by 2 so like this

4 = 2x

2   2

and your answer is x = 2 try to solve the other one if you need help ask me

The distance between the two points pictured will be [tex]\sqrt{61}[/tex].

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].

To learn more about the distance between the two points refer to;

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Answer:

n=61

Step-by-step explanation:

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

Alternate solution

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

Additional comment

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

Answer:

X= 5/18

Step-by-step explanation:

Answer:

No, no, no, yes, yes.

Step-by-step explanation:

A integer is a whole number, 1, 2, 3, etc.

Step-by-step explanation:

(2,4)===(4,-2)

(4,3)===(3,-4)

(2,3)===(3,-2)

Answer:

A

Step-by-step explanation:

the rock lands when it reaches height 0.

so, for what t is h(t) = 0 ?

16t² - 100 = 0

16t² = 100

now we pull the square root on both sides (we can ignore the negative solutions, as negative seconds don't make any sense in our scenario)

4t = 10

t = 10/4 = 5/2 = 2.5 seconds

so, A is correct.

Step-by-step explanation:

what do you mean by "the hard part" ?

anyway,

we need to sum the numbers in every column creating 5 sums.

then we need to multiply these 5 numbers (product) and divide the result by 16 (we need 1/16 of that product).

so, we have

5 + 1 = 6

1 + 6 + 4 + 8 = 19

2 + 1 + 3 = 6

2 + 5 = 7

1 + 0 + 7 = 8

6×19×6×7×8 = 38,304

38,304 / 16 = 2394

that is your code : 2394

Check the picture below.

Answer:

s^2 = 324 would mean side length s = 18

Step-by-step explanation:

The square root of 324 would be 18.

A square with side length s has an area of 324 square centimeters. So, the side of the square is 18cm

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = [tex]side^2[/tex]

A square with side length s has an area of 324 square centimeters.

The area of a square = [tex]side^2[/tex]

then s = √324

           =18

Thus, the side of the square is 18cm

Learn more about the area;

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Answer:

270 Miles

Step-by-step explanation:

18 miles per gallon

15 gallons

Basically count 18, 15 times

18*15=270

The van can travel 270 miles

Answer:  3a - 2b + 3

Step-by-step explanation:

(3a + 2b - 7) - (4b - 10)

open the bracket

3a + 2b - 7 - 4b + 10

combine like terms

3a + 2b - 4b - 7 + 10

3a - 2b + 3

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

120 cm^3

The equation for a triangle: 1/2bh.

1/2(a)(b)

1/2(10)(24)

1/2(240)

120 cm^3

Answer:

Step-by-step explanation:

Y=(X-3) 3+1

1. Flip the way the equation is facing

1+3 (3-x)=Y

2. Add or Subtract

4 (3-x)=Y

3. Do the parentheses

4(-3x)=Y

4. Solve for X ( Undo addition or Subtraction)

(4-4)=0

What ever you do to one side you have to do to the other!

Y-4

Your New Equation Looks Like

-3x= -4 + Y

5. Undo Multiplication

-3x/3= x

What ever you do to one side you have to do to the other!

-4/3 y/3

6. Divide Y

y/3= 3

7. New equation

X= -4/3 + 3

8. Plug in X to the Original Equation

Y=2(-4/3+3) -3 +(3+1)

9. Solve accordingly

Answer:

I believe the answers are a and e.

Step-by-step explanation:

Let me know if you want an explanation.

Hope this helps!!!

Answer:

He sold 38 cars

Step-by-step explanation:

first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22

then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

m∠M = 52°

m∠K = 52°

m∠L = 128°

m∠J = 128°

Step-by-step explanation:

If the given shape is a parallelogram, its opposite interior angles are equal.

⇒ m∠M = m∠K

⇒ 7x - 4 = 5x + 12

Subtract 5x from both sides:

⇒ 2x - 4 = 12

Add 4 to both sides:

⇒ 2x = 16

Divide both sides by 2:

⇒ x = 8

Substitute found value of x into the expressions for each angle to find the measures of the angles:

⇒ m∠M = 7(8) - 4 = 52°

⇒ m∠K = 5(8) + 12 = 52°

As the angles on the same side of the transversal in a parallelogram sum to 180°, then

⇒ m∠J + m∠M = 180°

⇒ m∠J = 180° - m∠M

⇒ m∠J = 180° - 52°

⇒ m∠J = 128°

As m∠L = m∠J  then m∠L = 128°

Answer:

-9 < x < 9

Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.

Answer:

Bc 23

Step-by-step explanation:

because you muply 42 to 65 and u will get that the same answer

The age of the car that Devon purchased is given by: Option C: 5 years

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

We can use compound interest's formula (with a bit modification if necessary) whenever there is compounding on a base amount on some fixed rate for some time.

For this case, there is decrement happening, so rate can be taken negative. Thus, we take:

R = -35%

Let the car is T years old.

Then, as we have: Initial price of the car = P = $16000, and the final price of the car = A = $2000, thus, we get:

[tex]A = P(1 +\dfrac{R}{100})^T\\\\2000 = 16000(1 + (-35/100) )^T\\1/8 = (1-0.35)^T\\0.125 = 0.65^T\\\\T = log_{0.65}(0.125)\\T \approx 4.827 \approx 5 \text{ (in years) }[/tex]

Thus, the age of the car that Devon purchased is given by: Option C: 5 years

Learn more about compound interest here:

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Answer:

C 5 years

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5% of 180 = 5/100 x 180

=> 5/10 x 18

=> 90/10

=> 9

Answer:

9

Step-by-step explanation:

5% of 180 = 5/100 of 180

10% = 18 ----->  5% = 9

180 = ?/1000 ------->  180 = 18000 / 100    =  180

5% of 180 = 9

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]

     = [tex]\sqrt{(-12)^2+0^2}[/tex]

     = [tex]\sqrt{144+0}[/tex]

    = [tex]\sqrt{144}[/tex]

    = 12

Answer:

he correct answer is D. 12 adult tickets, 4 child ticket

Step-by-step explanation:

Check the picture below.  When will it reach its height? well, at the vertex, so

[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&24\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&50\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+24t+50\implies \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients}[/tex]

[tex]h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+24}t\stackrel{\stackrel{c}{\downarrow }}{+50} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 24}{2(-16)}~~~~ ,~~~~ 50-\cfrac{ (24)^2}{4(-16)}\right)\implies \left( \cfrac{3}{4}~~,~~50-\cfrac{576}{64} \right)[/tex]

[tex]\left(\cfrac{3}{4}~~,~~50+9 \right)\implies \stackrel{\underset{\qquad \downarrow }{\textit{how far up it went}}}{\underset{\stackrel{\uparrow \qquad ~~}{\textit{when it reached it}}}{\left( \cfrac{3}{4}~~,~~59 \right)}}[/tex]