Find the measure of each exterior angle of a regular polygon in which the sum of the measures of the interior angles is 2,520 degrees.

Answer:

8

Step-by-step explanation:

f(x) = 5(3) - 7

f(x) = 15 - 7

f(x) = 8

Answer:

Look below.

Step-by-step explanation:

Point slope fromula: y-y1=m(x-x1)

First we have to plug in our points and slope into the formula.

3 will be plugged into x1 while -1 will be plugged into y1.

Since m represents slope we will plug in -2 into m.

Answer: y+1=-2(x-3)

Step-by-step explanation:

[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]

Answer:

3/10

Step-by-step explanation:

3/5 x 2/4

2/4 = 1/2

3/5 x 1/2

3 x 1 = 3

5 x 2 = 10

3/5 x 2/4 = 3/10

Answer:

hi

Step-by-step explanation:

hi

Answer:

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Answer:

3. second

4. first

Step-by-step explanation:

Answer:

given radius =6

Area of triangle =1/2*base*height

=1/2*6*6=18

area of quadrant =1/4πr^2

=1/4*22/7*6*6=22/7*9=198/7=28.2

area of shaded region =area of quadrant -area of triangle

=28.2-18=10.2

Answer:

x= 15

Step-by-step explanation:

4x+15=75

4x = 60

x = 15

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

Answer:

w<10

Step-by-step explanation:

 I am really tired and I dont feel like showing all my work, unless you want me to then just ask

Answer:

3w+16=0>6+4w=0

3w=-16>4w=-6

w=-16/3>w=-6/4

w=-16/3>w=-3/2

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

Answer:

4) 40 Square inches

Step-by-step explanation:

You do 2 x 4 then divide by 2. after that you multiply by 4.  Then you add the square which is 2 x 2

Answer:

Option D, $2.71

Step-by-step explanation:

Step 1:  Figure out the height

[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]

[tex]29.16 + b^{2} = 295.84[/tex]

[tex]b^{2} = 266.68[/tex]

[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]

[tex]b = 16.33[/tex]

Step 2:  Figure out the area

[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]

[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]

[tex]A = 454.77[/tex]

Step 3:  Figure out the price

[tex]454.77 * 0.006[/tex]

[tex]2.72862[/tex]

Answer:  Option D, $2.71

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars

Answer:

d. None of the above

Step-by-step explanation:

✔️Area of triangle 1 = ½*b*h

b = 11 in.

h = 3 in.

Area of triangle 1 = ½*11*3 = 16.5 in.²

✔️Area of triangle 2 = ½*b*h

b = 8

h = 9

Area of triangle 2 = ½*8*9 = 36 in²

✔️Area of parallelogram 1 = b*h

b = 11 in.

h = 9 in.

Area of parallelogram 1 = 11*9 = 99 in.²

✔️Area of parallelogram 1 = b*h

b = 9 in.

h = 11 in.

Area of parallelogram 2 = 9*11 = 99 in.²

✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²

the area of the figure is 113

Answer:

1/4

Step-by-step explanation:which is 2/8 simplified

Answer:

69.5935735 miles or about 70 miles

Step-by-step explanation:

Answer:

19.4 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

Given

Height of plane from the ground= 1200 = adjacent

Horizontal distance = 3400ft = Adjacent

Required

angle of depression theta

tan theta = opp/adj

tan theta = 1200/3400

tan theta = 12/34

tan theta = 0= arccos.3529

theta=  (0.3529)

theta = 19.4 degree

Hence the angle of depression is 19.4 degrees

Answer:

9*√3

Step-by-step explanation:

The exact value of Sin60 = √3/2

Sin(60)  = opposite side/ hypotenuse

hypotenuse = 18

√3/2 = x / hypotenuse

√3 / 2 = x / 18     multiply by 18

18 √3 /2 = x        divide by 2  

9 √3   = x

Answer:

Step-by-step explanation:

uh anymore info??

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

Answer:

C

Step-by-step explanation:

it lacks the inequality signs

Answer:

i think its A

Step-by-step explanation:

But if i am incorrect i apologize

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

Answer:

Nathanial will charge $12

Step-by-step explanation:

If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.