=========================================================
Explanation:
x = exterior angle
x+108 = interior angle, as its 108 degrees larger than the exterior
The two angle pairs add up to 180, since they form a straight line
exterior+interior = 180
x+(x+108) = 180
2x+108 = 180
2x = 180-108
2x = 72
x = 72/2
x = 36
The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.
Answer:
10 sidesStep-by-step explanation:
Let the number of sides is n.
We know the sum of interior angles is:
180(n - 2)So each interior angle is:
180(n - 2)/nWe also know the sum of exterior angles is 360, so each exterior angle is:
360/nWe are given the difference of the interior and exterior angles:
180(n - 2)/n - 360/n = 108Solve the equation for n:
180(n - 2) - 360 = 108n180n - 360 - 360 - 108n = 072n = 720n = 10The polygon has 10 sides
what’s the equivalent multiplication statement to 9 divide 1/11
pq + 4; use p=4, and q = 4
Answer:
20
Step-by-step explanation:
pq + 4
Given:
p = 4
q = 4
We plug the numbers in:
pq + 4
4(4) + 4
16 + 4
20
The answer you are looking for is 20.
Since p=4 and q=4,
Therefore,
pq+4
Substitute each of the given values of the variables,
(4)(4)+4
16+4
20
f(x) = x − 7 and g(x) = x2 find f(g(−1))
Answer:
g (-1) = (-1)² = 1
f(g(-1)) = f(1)
f(1) = 1 - 7 = -6
What is the value of -2/3 x (-1/4)x(-24/4)
Answer:
-1
Step-by-step explanation:
In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?
Answer:
523.2 students
Step-by-step explanation:
87.2%×600=523.2 students
Answer:
523.2
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event
Answer:
It is a dependent event, because it depends of the number she'll get rolling the die
Evaluate the function: f(n)=3n-1 ; f(-1)= ?
Answer:
A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)
Step-by-step explanation:
A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)
In which of the following pairs of numbers is -6 larger than the first number, but smaller than the second number?
Answer:
-7, -6, -5
Step-by-step explanation:
-7 < -6
-5 > -6
-7 < -6 < -5
Which equation represents a line which is parallel to the y-axis?
x = 6
O y = -1
Submit Answer
O x = 4y
Oy= 2 +1
PLS HELP ASAP
Answer:
x=6
Step-by-step explanation:
when there is no 'y' in equation, the line is always
parallel to y-axis
A submarine that is already at 605 feet below sea level ascends (rises up) 475 feet before descending (sinking down) another 255 feet.
Answer:
-350ft
Step-by-step explanation:
so basically 605 is negative and 255 is a negative then you add those two then it would be -860 then you subtract the positive 475 and that will equal -350
Suppose the average yearly salary of an individual whose final degree is a master's is $50 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $124 thousand. Find the average yearly salary of an individual with each of these final degrees.
Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
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Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
Answer: -1, 13
Step-by-step explanation:
mark me brainliest if you want plz
Midpoint formula: (x2 + x1)/2, (y2 + y1)/2
(-6 + 4) / 2, (14 + 12) / 2
(-2) / 2, 26 / 2
(-1, 13)
4.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2
Answer:
A. b2 – 4ac = 0
Step-by-step explanation:
Hey user☺☺
Option a is correct
Because the graph has only one solution.
As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.
Hope this will help☺☺
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.
Answer:
Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.
Which expression is equivalent to -0.62u+u+ 0.89u?
0.51u
Ou + 0.27
Submit Answer
1.27u
O 1+ 0.27
Answer:
[tex]⚪ \: \: 1.27 \: u[/tex]
Step-by-step explanation:
[tex] - 0.62u + u + 0.89u \\ = ( - 0.62 + 1 + 0.89)u \\ = 1.27u[/tex]
What is the prime factorization of 81?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.
Answer:
[tex]3^{4}[/tex]
Step-by-step explanation:
81
27 3
9 3
3 3
3*3*3*3 = [tex]3^{4}[/tex]
algebra hcf
10xyz and 15y²z²
Answer:
5yz
Step-by-step explanation:
1st expression=10xyz
=5*2*x*y*z
2nd expression=15(y)2 (z)2
=5*3*y*y*z*z
therefore H.C.F=5yz
underlines are taking common.
Determine which ordered pair is a solution to the following equation x+y=8
Answer:
(8,0)
and infinite number of ordered pairs make the equation
true 4,4 ... 5,3 ... 9,-1 ....
the solution can be said to be the loation where the graph crosses the x axis that point is (8,0)
Step-by-step explanation:
5x+2
2x
Perimeter:
PLEASE HELP
Answer:
14x + 4
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:
(5x + 2)×2 = 10x + 4
And it also have two sides with length 2x, so:
(2x)×2 = 4x
And now just add it:
10x + 4 + 4x = 14x + 4
Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions
2. Shelby and her two friends have 2 pies left after the bake sale after
school. They divide the pies evenly among themselves. How much pie did each
student receive?
Answer:
.67
Step-by-step explanation:
There are three friends and two pies. You are splitting the pies not the people so you divide 2 by 3 to get 0.66666667. Meaning each girl got .67 or around 6/10 of a pie.
9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)
Welcome to Brainly! I'm happy to help!
We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.
A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.
This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!
1,610×1,000=1,610,000 (one million six hundred and ten thousand!)
Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.
1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)
So, Tobias ran 4,830,000 millimeters!
Have a wonderful day and keep on learning! :D
Ju Chan solved the previous question by finding the expression 4(-15).
Which problem would give the same result? Select two options.
Answer:
-15(4) or -4(15) or 15(-4)
Step-by-step explanation:
As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.
Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.
Answer:
(-1)(15+15+15+15)
(-15)+ (-15)+ (-15)+ (-15)
Step-by-step explanation:
is 5/3 an integer?
Answer:
No!
Step-by-step explanation:
An integer is a a whole negetive number. A few examples are 4, -4, or even 4/4.
Help with geometry please
Write a variable expression to represent the phrase. The difference of a number and 1
Answer:
[tex]x-1[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The difference of a number and 1
⇒ [tex]x-1[/tex]
I hope this helps!
f(x) = (x + 1)(x - 5). What is the vertex?
(1,5)
(5.1)
(2.-9)
(-9,2)
Answer:
(2, -9)
Step-by-step explanation:
f(x) = (x + 1)(x - 5)
[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]
[tex] = f(x) = {x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} + ( - 4x) - 5[/tex]
= a = 1, b = -4
[tex] = x = \frac{ - 4}{2 \times 1} [/tex]
[tex] = x = - \frac{ - 4}{2} [/tex]
[tex] = x - ( - 2)[/tex]
[tex] = x = 2[/tex]
= f(x) = (x + 1) x (x - 5); x = 2
= f(2) = -9
= (2, -9)
put in order , smallest to largest 0.13 ,0.7 , 0.6
Answer:
0.13, 0.6, 0.7
Step-by-step explanation:
Basically when comparing a decimal from least to greatest look at the tenths place. Whoever's is the smallest, is the smallest decimal. Then you look at the second smallest etc. If two tenths are the same then you would compare the hundredths place so on.
PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.
Answer:
7 + b/5 = 4
OR
b/5 + 7 = 4
Step-by-step explanation:
also, b = -15
g(b)=5b-9
h(b)=(b-1)^2
(h*g)(-6) = ???
[tex](h \times \: g)(b) = (b - 1)^{2} (5b - 9) \\ = ( {b}^{2} - 2b + 1)(5b - 9) \\ = 5 {b}^{3} - 19 {b}^{2} + 23b - 9[/tex]
[tex](h \times \: g)( - 6) = 5( - 6) ^{3} - 19( { - 6}^{2}) + 23( - 6) - 9 \\ = 5( - 216) - 19(36) - 138 - 9 \\ = - 1080 - 684 - 138 - 9 \\ = - 1911[/tex]
I hope I helped you^_^
The value of function (h·g)(b) for x=-6 is -867.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are g(b)=5b-9 and h(b)=(b-1)².
Now, (h·g)(b)=h(b)×g(b)
= (b-1)²×5b-9
= (b²-2b+1)×(5b-9)
= b²(5b-9)-2b(5b-9)+1(5b-9)
= 5b³-9b²-10b²+18b+5b-9
= 5b³-10b²+23b-9
Now, (h·g)(-6)
= 5(-6)³-10(-6)²+23(-6)-9
= -1080+360-138-9
= -867
Therefore, the value of function (h·g)(b) for x=-6 is -867.
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In a single throw of two coins,find the probability of getting each of the following:-)
i.)Tails on both
ii)Tails at least on one
iii)Tails on one
iv)No tails
Should be answered by:-)
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Step-by-step explanation:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p( tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast is 3 (TT,th,ht,)
p( atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p( atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p( no tails) = 1/4
hope it's understandable.
Answer:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p(tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast
is 3 (TT,th,ht,)
p(atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p(atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p(no tails) = 1/4