Can someone help me with this question? I am willing to give brainliest + 20 points. Please explain WHY you think this answer is correct so I can have a better understanding.

Answer:

[tex]The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}[/tex]

Step-by-step explanation:

A diagonal is defined in geometry as a line connecting to two non adjacent  vertices.

Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices

Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;

Total possible diagonals = n × (n - 3)

However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;

[tex]The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}[/tex]

Answer:

34

Step-by-step explanation:

1+33=34

Answer:

a=-(c/b)/d

Step-by-step explanation:

a+c/b=d

d-a=c/b

-a=(c/b)/d

a=-(c/b)/d

Answer:

Step-by-step explanation:

Explanation:

Step one:

The original price of the video game= $28.5

Cash at hand= $22

Discount= 30%

Tax= 10%

1. Pat's strategy

Amount discounted

=30/100*28.5

=0.3*28.5

=$8.55

28.5-8.55

=$19.95

Amount of tax added

=10/100*28.5

=0.01*28.5

=2.85

=17.15+2.85

=$22.8

Hence going by Pat's strategy, the total amount to be paid is

=$22.8

2. Henri's strategy

=70/100*28.5

=0.70*28.5

=$19.95

110% of $28.5

=110/100*28.5

=1.1*28.5

=$31.35

the tax is

31.35-28.5

=$2.85

i. Hence by Henri's strategy, the sales price with tax is

=19.95+2.85

=$22.8

ii. Yes Pat's strategy will compute the correct total,

   30% of $28.5 is $8.55 which is the amount to be deducted as a discount

   10% of $28.5 is $2.85 which is the amount to be added as tax

    Hence the total amount to be paid is $22.8

iii  Yes Henri's strategy also gave the correct total

  70% of 28.5 is $19.95

  110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5

   = 31.35, substracting the original price we got the tax added

    which is $2.85

iv. No, they both don't have enough money to purchase the video game,

  because they only have $22and the game is to be sold for $22.8

Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.

Answer:

isyllus is correct

they can not from a triangle

Step-by-step explanation:

Answer:

42 + 6t = 30 + 8t

Step-by-step explanation:

1st species starts with 42f. They gain 6 frogs a year, with the letter 't' representing years. 42 + 6t would be the rate for the first species. 2nd species starts with 30 and gains 8 frogs a year, the letter 't' also representing years. So 30 + 8t would be the rate. Writing an equation to find when the groups are equal, it would result in 42 + 6t = 30 + 8t

To find the answer to this,

42 + 6t = 30 + 8t

Step 1: Subtract 30 from both sides

42-30 +6t = 30-30 + 8t

12 + 6t = 8t

Step 2: subtract 6t from both sides

12 + 6t-6t = 8t-6t

12 = 2t

Step 3: divide both sides by 2

12/2 = 2t/2

6 = t

Step 4 : Rearrange

t = 6

Answer = 6

Answer:

x = 3.5

y = -2x + 4

y = ?

y = -2(3.5) + 4

y = -3

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

Answer:

A) Lexi is 15 and Tanner is 18

B) Enrique has 24 magnets and Peter has 88 magnets

Step-by-step explanation:

1.

t = 3 + l

t + l = 33

substitute:

(t) + l = 33

(3 + l) + l = 33

3 + 2l = 33

-3 -3

2l = 30

/2 /2

l = 15

Lexi is 15

solve for t:

t + 15 = 33

-15 -15

t = 18

Tanner is 18

2.

e = p - 64

e + p = 112

substitute

(e) + p = 112

(p - 64) + p = 112

2p - 64 = 112

+ 64 +64

2p = 176

/2 /2

p = 88

Peter has 88 magnets

e + (p) = 112

e + 88 = 112

- 88 - 88

e = 24

Enrique has 24 magnets

Answer:

The answer is -13

Step-by-step explanation:

Answer:

=-19

Step-by-step explanation:

5x-3y-z

if x=-2, y=2, and z=-3

Putting value of x,y,z in equation

5x-3y-z= 5X-2-3X2-3=

=-10-6-3 = -19 answer

Answer:

x>9/5

Step-by-step explanation:

2/3x-1/5>1

Solve like a regular equation.

2/3x-1/5>1   add 1/5 to both sides

2/3x>1/5+1

2/3x>6/5 divide by 2/3 on both sides

x> 9/5

Answer:

[tex]x>\frac{9}{5}[/tex]

Step-by-step explanation:

Start at 2/3x - 1/5 > 1

Add 1/5 to both sides :

2/3 x > 6/5

Multiply both sides by 3 :

2x > 18/5

Divide both sides by 2 :

x > 9/5

Answer:

y= 1/3x - 1

Step-by-step explanation:

1/3 is slope so m and -1 is the y-intercept

Answer:

Step-by-step explanation:

1. given

2. A bisected angle forms 2 congruent angles

3.given

4.reflexive propriety

5. ASA theorem

Answer:

Step-by-step explanation:

2). Definition of bisector.

4). Reflexive property

5). ASA postulate of congruency.

Answer:

1, 3, 6 = 61°

2, 4, 5, 7 = 119°

Answer:

m∠1 = 61°

m∠2 = 119°

m∠3 = 61°

m∠4 = 119°

m∠5 = 119°

m∠6 = 61°

m∠7 = 119°

Step-by-step explanation:

Ah transversals, a simple subject which was taught to be so complicated.

Basically its a complicated way of demonstrating parallelism and intersection of two straight lines.

m∠6 is equal to angle 61 due to a rule of vertical angle; basically the mirroring properties of two intersecting lines. If you'd like this subject broken down further leave me a comment.

Corresponding angles are ∠2 and ∠5, and ∠3 and 6∠. It's easier to visualize them on their own. To help with this I'll provide a cleaned-up visual.

They are equal to each other just as 61 is equal to m∠1

the 61 and the m∠5 will add up to 180 because straight lines are straight and 180 degrees.

Hope this helps

Answer:

i think its A

Step-by-step explanation:

Answer:

what has become of this site????

Step-by-step explanation:

they literally told me to pay a fee for being greatful for points

Answer: 40,000

Step-by-step explanation:

Answer:

about 199

Step-by-step explanation:

12*16 is 192 it has to be a little more not enough to be 300 though

Answer:

i tink 88 percent

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)

Answer:

3.5 is the answer.

Answer: The answer is 3.5 or 3 1/2

Answer:

10 yrs

Step-by-step explanation:

A=P(1+r/n)^nt, P=initial investment, r=annual interest rate,n=number of compounding periods per year, A=amount after t years

For given problem:

P=37000

r=5.5%=.055

n=1

A=62000

..

62000=37000(1+.055)^t

62/37=1.055^t

tlog(1.055)=log(62/37)

Using log keys on calculator:

t=log(62/37)/log(1.055)≈10 yrs

about 13 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is a little unclear in this statement.

10% of the number is greater than 1 but less than 7 1/3 . Do you mean 7 1/3%

List all the perfect squares between 1 and 100

1     4     9    16    25     36     49    64    81   and 100

The number is not a multiple of 6 which lets out 36

The number is greater than one because 10% of the number is greater than 1.

7.33333% = 7.333 / 100 * N

That lets out 100 which 7.3333% = 7.3333

So what do we have left?

4 9 16 25 49 64 81

That's as far as I can get you. Perhaps if you clarify what is unclear, we might be able to take it further. Leave a statement, and I will revise my answer.

Answer:

39

Step-by-step explanation:

If you multiply 4×2 you get the answer 8 when you add 8 you get the answer 16 if you add 23 you get the answer 39 your problem should look like this...

4×2+8+23=39

Answer:

$100.00

Step-by-step explanation:

1 tablecloth=$20 each

$20.00$=x5=$100.00

Since there is 5 tablecloths multiply $20.00 and 5.

Answer:

113.04

Step-by-step explanation:

3.14 x 6 squared

6x6=36

3.14x36=113.04

Answer:

Principal = $12600

Step-by-step explanation:

Simple Interest Formula

I = PRT

The formula for Principal Amount is:

I/RT = P

R = 5.5% = 0.055

T = 3

I = $231

P = 231 / 0.055 × 3

P =231/ 0.0183333333

P = $12600.000023

Approximately = $12600