Answer:
The sum of all internal angles of this polygon is: [tex]900^o[/tex]
Step-by-step explanation:
Recall that the formula for the number of diagonals of a polygon with n-sides is given by the formula:
[tex]diagonals=\frac{n\,(n-3)}{2}[/tex]
and since Lucero noticed that the number of digonals was 7 more that the number of sides, then, these two quantities (n + 7) and the number of diagonals must be equal. we can set an equation stating such, and solve for "n" (number of sides of the polygon):
[tex]n+7=\frac{n\,(n-3)}{2} \\2(n+7)=n(n-3)\\2\,n+14=n^2-3\,n\\n^2-3\,n-2\,n-14=0\\n^2-5\,n-14=0\\(n-7)\,(n+2)=0\\[/tex]
therefore n = 7 or n = -2
The only answer with meaning is the first one (7 sides), since a polygon must have a positive number of sides.
Now that we know the number of sides of the polygon, we can find what the sum of its internal angles should give, based on the equation;
Addition of internal angles of a polygon is = [tex](n-2)\,180^o[/tex]
Which in our case renders:
[tex](n-2)\,180^o=(7-2)\,180^o= 5\,(180^o) = 900^o[/tex]
5x^2y/15xy simplified?
Answer: x/3
Step-by-step explanation:
5x²y/15xy
=x²y/3xy ⇔ divide 5 on both sides
=x²/3x ⇔ eliminate y
=x/3 ⇔ divide x on both sides
Hope this helps!! :)
Please let me know if you have any question
Solve it: 3^x-1=(√3) Plz solve fast
Answer:
x = 3/2
Step-by-step explanation:
3^(x-1)=(√3)
Rewriting sqrt(3) as 3 ^ 1/2
3^(x-1)= 3 ^ (1/2)
The bases are the same so the exponents are the same
x-1 = 1/2
Add 1 to each side
x-1+1 = 1/2 +1
x = 3/2
use the associative and communicative properties to make this calculation easier. justify the steps.
6. (17×50)
Answer:
Step-by-step explanation:
6*(17*50) = 6 * (50 * 17) {Commutative property}
= (6 * 50) * 17 {Associative property}
= 300 * 17
= 5100
SOMEONE ANSWER THESE PLEASE!!
1.) why isn’t 9.72 a whole number?
2.) why isn’t -25 a whole number?
If the lines A and B are parallel then find the value of x
Answer:
The answer is 113 as we find angle qps and then x by alternate angle property.
A monomial
B binomial
C trinomial
D quadrinminal
-25x=300 what does x equal
Answer:
x = -12
Step-by-step explanation:
inverse operation
-25x = 300
divide by -25 on both sides
x = -12
Answer:
x = -12
Step-by-step explanation:
All you have to do is divide 300 by -25.
I hope this helps, have a good night! :)
plz help you only have to recreate them in another way plz
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answer:
D
Step-by-step explanation:
just took it got it right
Answer:
its D
Step-by-step explanation:
write the quadratic equation in standard form x squared + 3x = 8
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
ax² + bx + c = 0 (standard form)
Answer:
x² + 3x = 8
Step-by-step explanation:
Which of the following equations have exactly one solution?
Choose all answers that apply:
A. −5x+12=−12x−12
B. −5x+12=5x+12
C. −5x+12=5x−5
D. −5x+12=−5x−12
Answer:
A, B, & C
Step-by-step explanation:
A: -5x +12 = -12x - 12
+12x +12x
7x + 12 = -12
-12 -12
7x = -24 [Divide both sides by 7 to get x]
x = -24/7
B: −5x + 12 = 5x + 12
-5x -5x
-10x + 12 = 12
-12 -12
-10x = 0 [Divide both sides by -10 to get x]
x = 0
C: −5x + 12 = 5x − 5
-5x -5x
-10x + 12 = -5
-12 -12
-10x = -17 [Divide both sides by -10 to get x]
x = 17 / 10
D: −5x + 12 = −5x − 12
+5x +5x
12 ≠ -12 [The statement is false, so it isn't the correct answer]
PLEASE HELP What is the slope of the line y=−4y
Answer:
The slope is 0
Step-by-step explanation:
9 + (–9) = 0 what is the property
Answer:
I think it's "inverse property of addition"
hope this helps :3
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1/2x. Explain who is correct.
Answer:
The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 1/2(10).
Step-by-step explanation:
Answer:
The point that represents what the local business will donate is (10, 5). After testing the point in both equations, you can see that student B wrote the correct equation; 5 = 1/2(10)
Step-by-step explanation:
got correct on edge 2022
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
Answer:
21
Step-by-step explanation:
When rolling 3 standard number cubes, the probability of getting all three is to match 6/216. What is the probability that the three numbers do not match? Explain reasoning
please help
use the numbers 5 and 3 to provide an example of the Commutative Property of Addition.
Answer:
COMMUTATIVE PROPERTY
a+b=b+a
so with given numbers
5+3=3+5 is the answer.
Step-by-step explanation:
hope it will help :)
Evaluate: -12x3 please help me with this
Answer:
-36
Step-by-step explanation:
12 * 3 = 36
When you multiply by a negative number, the number becomes a negative therefore, -12*3 = -36
Answer:
-36
Step-by-step explanation:
When multiplying a negative and a positive the answer is always going to be negative. So 12x3=36 and the 12 is negative and the 3 is positive, so the answer is -36.
Solve y – 7 > 3 + 2y A) y -10 D) y > -10
Answer:
D. [tex]-y > 10[/tex]
Step-by-step explanation:
First, move the variable (+ 2y) to the left-hand side and change its sign.
[tex]y - 2y - 7 > 3[/tex]
Then, move the constant (+ 7) to the right-hand side and change its sign.
[tex]y - 2y > 3 + 7[/tex]
Then, collect the like terms (y - 2y)
[tex]-y > 3 + 7[/tex]
Finally, add the numbers (3 + 7). That will get you your final answer.
[tex]-y > 10[/tex]
angela took 104 selfies last week. 1/4 of the selfies taken include her BFF Brianna. How many selfies include Brianna?
Answer:
I don't really know because I am dumb sorry
Answer:
26
Step-by-step explanation:
A students pays of 18 an hour is 4 more than twice the amount of the student earns per hour at an internship enter an solve an equation to find the hourly pay of the intership
Answer:
the hourly pay fro the internship is $7/hr
Step-by-step explanation:
The statement can be written mathematically as below
[tex]18 = 4 + 2x[/tex]
the hourly rate of the internship is [tex]x[/tex]
solving the equation, we have
[tex]18 = 4 + 2x[/tex]
subtract 4 from both sides of the equation
[tex]18 - 4 = 4 +2x -4[/tex]
[tex]14 = 2x[/tex]
[tex]x = 14/2[/tex]
[tex]x = 7[/tex]
the hourly pay fro the internship is $7/hr
Answer: $7
Step-by-step explanation:
According to the question , we have
$18=4+2 (amount of the student earns per hour at an internship)
Let x be the amount of the student earns per hour at an internship, then the equations will be
18 = 4+2x
Subtract 4 from both sides , we get
14 = 2x
Divide both sides by 2, we get
7 = x
Hence, the hourly pay of the intership was $7 .
Monique had $14.33 in her walllet. Her mother gave her $5.50 and she found a quarter on the floor. She owes her friend $20. Does Monique have enough money to pay her friend back? If so how much does she have left over? If not how much money does she need?
Answer:
yes she has enough money to pay her friend back
Step-by-step explanation:
14.33
5.50
+ 0.25
$20.08 this what she has and she will have 8 cents left over after she pays her friend
6 + ( - 3 ) is ___ units from 6, in the ___ direction.
Answer:
6+(-3) is 3 units from 6 in the right direction
Step-by-step explanation:
6 + ( - 3 ) is 3 units from 6, in the right direction.
What are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given:
6 + ( - 3 ) is ___ units from 6, in the ___ direction.
as we know that 6 +(-3) = +3 units
So, -3 is 3 units away but the direction depend on the sign between the numbers.
Then, according to the sign the direction is on right side.
Hence, 6 + ( - 3 ) is 3 units from 6, in the right direction.
Learn more about integers here:
https://brainly.com/question/1768254
#SPJ2
Frank works in the supply room of a law firm. At the beginning of the month, he had 27 boxes of pens with 13 pens in each box. At the end of the month, there were 61 pens left. How many pens did he give out over the month?
Answer:
290
Step-by-step explanation:
first you multiply 27 times 13 and get 351.you then subtract 351 from 61 and get 290.
Answer:
290
Step-by-step explanation:
27x13 = 351
351-61= 290
I can't seem to find the answers or understand how this works.
Answer:
m = 5
n = 12
Step-by-step explanation:
Opposite sides in a parallelogram are equal
so:
m+1 = 6
m = 6-1
m = 5
n is opposite to 12 so n = 12
Amal can run 1\8 mile in 1 1\2
if Amal can maintain that pace, how long will it take him to run 1 mile
Answer:36 minutes.
Step-by-step explanation:
Multiply 12 by 3. I have this for homework right now and this is what i got and it was correct. I hope this helped!
Turn 14/6 into a mixed number
[tex]2 \frac{2}{6} [/tex]is the mixed fraction of [tex] \frac{14}{6} [/tex]
Answer:
2 1/3
Step-by-step explanation:
You first have the fraction 14/6.
To convert it into a mixed number you have to divide 14 by 6.
14 divided by 6 is approximately 2.333333, continued.
2.3333 in fraction form is 2 2/6
But you have to simplify it making the fraction 2 1/3
please help me find the x
Answer:
x=2
bd/ba=be/bc
6/6+4=x+1/x+1+x
6/10=x+1/2x+1
12x+6=10x+10
12X-10X=10-6
2X=4
X=4÷2=2
Answer:
x = 2
Step-by-step explanation:
Basic proportionality theorem,
[tex]\frac{AB}{BD}=\frac{CB}{BE}\\[/tex]
AB = AD + DB = 4+6 = 10
CB = CE + EB = x + x +1 = 2x +1
[tex]\frac{10}{6}=\frac{2x+1}{x+1}[/tex]
Cross multiply
10*(x+1) = 6*(2x+ 1)
10*x + 10*x = 6*2x + 6*1
10x + 10 = 12x + 6
Subtract 10x from both sides
10x + 10 - 10x = 12x + 6 - 10x
10 = 2x + 6
Subtract 6 form both sides
10 - 6 = 2x + 6 - 6
4 = 2x
Divide both sides by 2
4/2 = 2x/2
2 = x
x = 2
solve for x need help asap
Answer:
the answer is 23
Step-by-step explanation:
3x=69 ( vertically opposite angle)
x=69/3
x=23
Hope this helps. :)
Which mathematician wrote "The Elements"?
Answer:
Euclid wrote "The Elements''
Step-by-step explanation:
Answer:
Euclid
Step-by-step explanation:
"The Elements" is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC.
Tina and her friends want to go bowling. Family Bowling Alley charges $1 for shoes and $4 dollars per game. Knight Owl Bowling charges $2 for shoes and $3.75 per game. How many games will it take for the cost of bowling at each alley be the same?
Answer:
Number of games = 4
Step-by-step explanation:
Let the number of games = x
Family Bowling Alley charges $1 for shoes and $4 dollars per game
If x games is played
Cost= 1+4(x)
Knight Owl Bowling charges $2 for shoes and $3.75 per game.
If x games is played
Cost = 2 + 3.75(x)
When the both cost are equal
1+4(x)= 2+3.75(x)
4x-3.75x = 2-1
0.25x = 1
X= 1/0.25
X= 4
Number of games = 4