Pls help and show workings
Due ASAP

Answer:

First polygon has 16 sides

Second polygon has 24 sides

Step-by-step explanation:

Let the number of sides for first polygon be a and that for the second polygon be b

formula for sum of interior angle is;

180n-360

So for individual interior angle we have;

(180n-360)/n

So for polygon A

(180a-360)/a

For polygon B

(180b-360)/b

Let’s divide both to equate to the ratio

(180a-360/a)/(180b-360)/b) = 21/22

Factor out 180

(a-2)/a * b/b-2 = 21/22

b(a-2)/a(b-2) = 21/22

22b(a-2) = 21a(b-2) •••••• (i)

For the second part

Sum of exterior angle of any polygon is 360

Individual exterior angle is 360/n

for the first polygon;

360/a ;

For the second 360/b

Thus;

b/a = 3/2

2b = 3a ••••••••(ii)

b = 3a/2

11(2b)(a-2) = 21a(b-2)

11(3a)(a-2) = 21a( 3a/2-2)

33a(a-2) = 21a(3a-4)/2

22a(a-2) = 7a(3a-4)

22a^2 - 44a= 21a^2-28a

22a^2-21a^2+28a - 44a = 0

a^2 + 28a - 44a = 0

a^2 -16a = 0

a(a-16) = 0

a = 0 (which cannot be)

or a-16 = 0

a = 16

Recall;

b = 3a/2

b = 3(16)/2

b = 24

Answer:

No correlation

Step-by-step explanation:

There's no discernible trend in the data.

Given:

Total number of beans = 20

Number of blue of beans = 8

One bean is selected from the bag at random.

To find:

The probability that she will draw a bean that is NOT blue.

Solution:

We have,

Total number of beans = 20

Number of blue of beans = 8

Number of non-blue beans = 20 - 8

                                              = 12

Now, the probability that she will draw a bean that is NOT blue is

[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]

Therefore, the correct option is C.

Answer:

2,400

Step-by-step explanation:

2,389 rounded to the nearest hundred is 2,400

Answer:

4m+0.50

Step-by-step explanation:

Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.

Step-by-step explanation:

The experimental probability of the spinner stopping on the number 4 is 1/25.

Experimental probability is a probability that is determined on the basis of a series of experiments.

A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

Given that, a spinner with the numbers 1 through 8 is spun 25 times.

we need to find the experimental probability of the spinner stopping on the number 4

So,

Experimental Probability =

P(E) = Number of times an event occurs / Total number of trials.

Number of times an event occurs = 1

Total number of trials = 25

Therefore,

P(E) = 1/25

Hence, the  experimental probability of the spinner stopping on the number 4 is 1/25.

Learn more about experimental probability click;

https://brainly.com/question/30694293

#SPJ3

Answer:

Step-by-step explanation:

(distance) d = (speed) s * t (time)

                    = 55km/h * 12.30m/s

                    = 11.275 km

                    = 11.275 * 1000

                    = 11275m

Step-by-step explanation:

hope it helps you

here is ur answer

Answer:

3/4   and  2/5 have a common denominator of 20, so re-write

15/20x - 2 = 8/20       Now multiply both sides by 20

15x-40 = 8

Step-by-step explanation:

hope this helps!! good luck!!

Answer:

B. congruent - SAS

Step-by-step explanation:

IT IS CONGRUENT BY SAS AXIOM.

HOPE IT HELPS :)

The value of x is 1/2y+3/2

Answer:

y = 2x - 3

Step-by-step explanation:

8 + 2y - 5x + y = x - 1

3y = 6x - 9

y = 2x - 3

slope is 2, y-intercept is -3

Answer:

its f

Step-by-step explanation:

==================================================

Explanation:

Apply the law of cosines to find angle C

c^2 = a^2 + b^2 - 2*a*b*cos(C)

19^2 = 11^2 + 17^2 - 2*11*17*cos(C)

361 = 121 + 289 - 374*cos(C)

361 = 410 - 374*cos(C)

361 - 410 = -374*cos(C)

-49  = -374*cos(C)

-374*cos(C) = -49

cos(C) = (-49)/(-374)

cos(C) = 0.131016042780749  ..... which is approximate

C = arccos(0.131016042780749)

C = 82.4716905247836

C = 82 degrees

Notes:

Answer:

1.998 km

Step-by-step explanation:

From the question, we know that:

When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.

We convert 2000 mm to km

1 mm =1 × 10^-6 km

2000mm = x

2000mm × 1 × 10 ^-6km

= 0.002km

Subtracting this from the total distance

2.5km - 0.002 km

= 2.498 km

1 metre = 0.001 kilometre

We convert

He walks 500m to the bus stop, he then gets on the bus.

1 metre = 0.001 kilometre

We convert 500 m to km

1 m = 0.001 km

500m = x

x = 500 × 0.001

= 0.5 km

Subtracting this from the current distance, the distance he travelled on the bus is:

2.498km - 0.5km

= 1.998 km

Therefore, he travelled 1.998 km on the bus

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

Step-by-step answer:

0.5(x+0.8)=1.4

0.5x+0.4=1.4

0.5x+0.4-0.4=1.4-0.4

0.5x=1

0.5x/0.5=1/0.5

x=2

Plzzzzz give me Brainliest!!!!!  

Answer:

Search it up

Step-by-step explanation:

Someone already answered it on brainly

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

9514 1404 393

Answer:

  32 = (x) +(2x -5) +(2x -3)

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = a + b + c

  32 = (x) +(2x -5) +(2x -3)

__

This can be simplified to ...

  32 = 5x -8

and solved to find x:

  x = (32 +8)/5 = 8

Answer:

2.)  "My parents will be very disappointed in me."

Step-by-step explanation:

This is the only explanation that will get you out of any bad situations.

1.) I'll try it once: if you try it once, you'll be hooked on it forever.

2.) Correct answer: Only way to get out of a situation like this affectively.

3.) My friends and I prefer weed: This would still suggest you still use drugs.

(I think it's smart to post it in math! :)

Answer:

(−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

I really hope it helps!

Good Luck!

Answer:

The length of the missing leg:

Step-by-step explanation:

Given

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

Answer:1.95

Step-by-step explanation:

Answer:

the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.

Step-by-step explanation:

I'm not sure if that's what you were asking for but there .

brainiest please.