Four of the interior angles of a pentagon are congruent and the fifth angle is five times as large as the measure of the other four angles. What is the measure of each of the smaller angles?
A. 60
B. 72
C. 90
D. 108
E. 120

Answer:

x=-8

Step-by-step explanation:

2x−3=5x+20+1

2x−3=5x+21

2x−3+3=5x+21+3

Then simplify those numbers

2x=5x+24

Then subtract 5x from both sides

Answer:

x=-8

Step-by-step explanation:

open brackets first

2x - 3 = 5x + 20 + 1

2x - 3 = 5x + 21

transpose

2x - 5x = 21+ 3

calculate

-3x = 24

x= -3/24

x= -8

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Answer:

it depends, I can't see which angle for some reason, but a triangle has a total of 180 degrees

Step-by-step explanation:

Answer:

The expression x^3 + ax^2 - 15x + b has a factor of x – 2 and leaves a remainder 75 when divided

by x + 3. Find the value of a and of b.

Let p(x) = x3 + ax2 + bx +6

 (x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0                                                                                       

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)                                                                              

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3                                                                                      

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)                                    

Equating the value of b from (ii) and (i) , we have

 (- 7 -2a) = (-10 - 3a)

a = -3                                                    

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

Answer:

slope=2

Step-by-step explanation:

slope = y/x

hope this helps

Answer:

(n - 5)(n + 5)

Step-by-step explanation:

a² - b² = (a - b)(a + b)

n² - 25 = n² - 5² = (n - 5)(n + 5)

Answer:

A equivalent fraction for 1/2 is 6/12

Step-by-step explanation:

Answer:

2/4, 3/6, 4/8, 5/10, and 6/12 are all equivalent fractions. Hope this helped :)

Answer:

1000 miles

Step-by-step explanation:

Answer:

16786

Step-by-step explanation:

16786

12143

9643

Answer:

18 boys

Step-by-step explanation:

set a proportion

8         24

--  =     ---

6          x

24(6)=8(x)

144=8x

divide 8 by both sides

18 boys

Answer:

there are 32 boys

Step-by-step explanation:

24 divided by 6 = 4

24 + 8 =32

Answer:

yes ur right

Step-by-step explanation:

180-130 = 50

50/2 = 25

this works because the sides are equal length

good stuff

Answer:

yep

Step-by-step explanation:

18-=130+x=x

180=130+2x

-130  -130

50=2x

25=x

yep

Answer:

4(49a²+7ab+9)

Step-by-step explanation:

Answer:

No..... who's that's

Step-by-step explanation:

jsjsjdkdhshnskxjxnxbhckdkdkmfjcjcjcjncjcnxmxkxjjxjxjxhchdhjxjxjcjcjjgkfkf

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

i hope thats the answer

Answer:

Step-by-step explanation:

your answer is the second bubble

Answer:

where the question sista

Step-by-step explanation:

Answer:

These numbers are not the same as 4/9 is bigger than 2/5.

Step-by-step explanation:

As we have to compare the decimal forms of 2/5 and 4/9.

We determine that the numbers in decimal forms are:

[tex]\frac{2}{5}=0.4[/tex]

[tex]\frac{4}{9}=0.44444...\:[/tex]

so

[tex]\frac{4}{9}=0.44444[/tex] is clearly bigger than [tex]\frac{2}{5}=0.4[/tex].

Therefore, these numbers are not the same as 4/9  is bigger than 2/5.

Answer:

C. 3

Step-by-step explanation:

5x - 2 = 13

5x = 15

x = 15 ÷ 3

x = 3

Answer:

x=3

Step-by-step explanation:

Move all terms that dont  contain x to the right side to solve    

Answer:

3a^2p-2a^2-8ap-4p^2

Step-by-step explanation:

Responder:

Número total de bolas = 245/23

Explicación paso a paso:

Dado que:

Bolas blancas = 1/5

Bolas negras = 1/7

Bolas rojas = 7

Sea el número total de bolas = x

Bolas blancas = 1 / 5x

Bolas negras = 1 / 7x

Por tanto, total;

(x / 5 + x / 7 + 7) = x

((7x + 5x) / 35) +7 = x

(12x / 35) + 7 = x

7 = x - 12x / 35

7 = (35x - 12x) / 35

7 = 23 veces / 35

245 = 23x

x = 245/23

Answer:

23 cents per ounce

Step-by-step explanation:

3.22 divided by 14 = 0.23

0.23  

3.22/ 14 = .23 per oz.

Answer:

3300ft

Step-by-step explanation:

5280 x 0.625=3,300

Answer:

The force the player hit the ball with is 900 N

Step-by-step explanation:

Given;

mass of the baseball, m = 0.75 kg

acceleration of the ball, a = 1200 m/s²

The force the player hit the ball with is given by the following equations;

F = ma (based on Newton's second law of motion)

where;

F is the applied force

m is mass of the baseball

a is the acceleration of the baseball

F = ma

F = (0.75 x 1200)

F = 900 N

Therefore, the force the player hit the ball with is 900 N

Answer:

b=24

Step-by-step explanation:

40^2 - 32^2 = 576

√576 = 24

Answer:

2

Step-by-step explanation:

For Every x value the y value increases by 2

1.5 x -3 +4. x=-3

-15+4

-11

2.-4/4-2 x-4-3. y=-4

-1-+8-3

7-3

4

Answer:

7,8

Step-by-step explanation:

Answer:

Since the number line is in increments of 3 you have to move it four lines past 0.

Step-by-step explanation:

The number line is done in increments of 3.

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

Feel free to give brainliest.

Have an amazing day!

Answer:

first box : 19

second box : 1

last box : 1/19 to the power of 2

Answer:

900

Step-by-step explanation:

10 times 9 is 90 so just add the missing 0

Answer:

x=-1

Step-by-step explanation:

7x-5=2x

-7x -7x

-5=-5x

-5/-5=-5x/-5

-1=x

hopefully this helps :)