A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
What is heptagon?A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
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Answer:
C. 124
Step-by-step explanation:
E2020
Which of the following is the correct factorization of the polynomial below?
x2-18
O A. (x+3)(x-6)
O B. (x-3)(x + 6)
O C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.
Answer:
D. The polynomial is irreducible
Step-by-step explanation:
This polynomial is unfactorable. x² and 18 share no common factors. It is already in simplist form.
hope this helps :)
One factor of f (x ) = 5 x cubed + 5 x squared minus 170 x + 280 is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
x = –4, x = –2, or x = 7
x = –7, x = 2, or x = 4
x = –7, x = 5, or x = 280
x = –280, x = –5, or x = 7
The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:
(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40
Hence:
(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)
= 5(x² - 6x - 8)(x + 7)
= 5(x - 4)(x - 2)(x + 7)
The roots are at:
0 = 5(x - 4)(x - 2)(x + 7)
x = 4, x = 2 or x = -7
The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7
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A land snail, a clam, and an octopus all share this body structure:
Question 22 options:
gills
muscular foot
segmented bodies
jointed appendages
Answer:
A muscular foot
Step-by-step explanation:
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Can someone pleast help me with this
can you right a opening paragraph stateding why kids should do sports please, thanks!
Simplify 5+1(-24)+(-21×1)
Tom makes $296.10 in 6 days. How much does he make in 5 days?
If you answer this question right, I'll give you (BRAINLIEST)
A social studies test has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions.
TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF
If a student randomly guesses for all four questions, what is the probability they get all four questions correct?
Enter your answer as a fraction, like this: 3/14
Answer:
1/16
Step-by-step explanation:
To find probiblity all you have to do is divide the number of events by the number of possible outcomes
There are 16 possible outcomes
and there is only 1` way that the student can get all 4 questions right
so the answer is: 1/16
Answer:
1/16
Step-by-step explanation:
Number of possible outcomes = 16
Only one set will be the correct option
P(getting all four questions correct) = 1/16
The distance between the school and a students house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days
This week Gap is offering 40% off all shirts and 50% off all shorts. Katie purchased 3 shirts for $25.65 and one pair of shorts priced at $22.80. About how much did Rebecca pay for the sweaters and jeans before tax?
The amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We're specified that:
Discount percent on shirts = 40%Discount percent on shorts = 50%The price of all 3 shirts = $25.65The price of one pair of shorts = $22.80Before taxing, the price to be paid is real price (marked on the items) - discount offered on them.
Now, we get:
Price of each shirt is assumingly same, and so as for both of shorts. The discounts would be same for all shirts, and the discount will be same for all shorts.
So sum of discounted price = discount on summed price.
Thus, discoutned price of 3 shirts = 40% discount on $25.65
= $25.65 - 40% of $25.65
We get this:
[tex]25.65 - \dfrac{25.65}{100} \times 40 = 25.65 \approx 0.6 = 15.39[/tex] (in dollars)
Similarly, we get:
Discounted price of shorts= $22.80 - 50% of %22.80 = 22.80 - 11.40 = 11.40 dollars
Thus, the total discounted price = discounted price of shirts and shorts= $15.39 + $11.40 = $26.79
Thus, the amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79
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Bill bought a certain food in which there are 300 calories in 100 g of that food. What is the number of calories in a 20 g portion of this food?
Answer:
60
Step-by-step explanation:
If there are 300 calories in 100g of Bill's food, then we can divide 5 on both sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.
Simplify the expression
-6 +4x+ 9 -2x
Answer:
3 + 2x
Step-by-step explanation:
combine -6 + 9 = 3
combine 4x - 2x = 2x
Distributive Property to find (a+8)(a-3)
Answer:
[tex]a^{2} + 5a -24[/tex]
Step-by-step explanation:
For the distributive property, it is like multiplying each term by the other whole group.
For this problem we can set it up like this:
a(a-3) + 8(a-3) =
a^2 - 3a + 8a - 24 =
a^2 + 5a - 24
Which is the slope of the line that passes through the points (-3,-2) and (1,0)
Answer:
[tex]Slope = \frac{1}{2}[/tex]
Step-by-step explanation:
Let m be the slope of the line
We can calculate the slope m this way :
[tex]m = \frac{0-(2)}{1-(-3)} = \frac{2}{4 }= \frac{1}{2}[/tex]
The PE room at school has a variety of colored balls that can be used to play in the school yard. There are 16 red balls, 12 orange balls, 8 yellow balls, and 11 pink balls.
What is the probability that you are going to get a BROWN ball?
Answer:
0%
Step-by-step explanation:
There are no brown balls, so therefore it is impossible to get one.
Find the volume of each sphere. Be sure to include appropriate units.
(Show your work)
Answer:
2145.5m^3
679.2yard
Step-by-step explanation:
v
[tex]volume \: of \: a \: sphere = \frac{4}{3}\pi \: r {}^{3} \\ when \: r = 8 \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 {}^{3} \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 \times 8 \times 8 \\ volume = \frac{4 \times 22 \times 512}{3 \times 7} \\ volume = \frac{45056}{21} \\ volume = 2145.5m {}^{3} \\ \\ for \: the \: second \: shape \\ volume = \frac{4}{3} \times \frac{22}{7} \times 5.5 {}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 166.373 \\ = \frac{14641}{21} \\ = 697.2yard[/tex]
20 x 20 divided by 53 x z z=12
Answer:
90.5660377
Step-by-step explanation:
20×20÷53×12
400÷53×12
7.54716981×12
90.5660377
Jaime rolls a number cube and spins a colored spinner. The spinner is divided into three equal sections. The tree
diagram shows all the possible outcomes that can occur.
Answer:
Step-by-step explanation:
The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.
Hope this helps you!!
Take look at this! Please see if you can figure it out. :(
Jeff Claims that the expression -6(2m-4) is equivalent to -12m-4. Is he correct? Explain your answer.
Thank you
square root (5/6)^2 help i need it fast
I need help, if you give answer ASAP I’ll reward a lot of points!!
Answer:
A = 31.875 inches squared
Step-by-step explanation:
Area of a parallelogram is bh
b = 12 and 3/4 is just 12.75 inches
h = 2 and 1/2 is just 2.50 inches
Multiply these together and you get the area,
A = (12.75)(2.50) = 31.875 inches squared
Answer:
31.875 (31.88 rounded)
Step-by-step explanation:
A =b x h
A =12.75 x 2.5
A = 31.875
----------------------
12.75 = 12 [tex]\frac{3}{4}[/tex]
2.5 = 2[tex]\frac{1}{2}[/tex]
Determine whether each of the following is a characteristic of a protist, fungus, or both. Unicellular Stationary Reproduces through spores Eukaryotic Cilia Autotrophic
Answer:
100% correct
Step-by-step explanation:
The properties of the protists differ from that of the fungi but they are both eukaryotic organisms and are unicellular.
What is a protist?
A protist is an organism that belongs to the Kingdom Protista. Fungus are the organisms that belong to the kingdom fungi.
Now, let us differentiate between the properties of the protists and the fungi;
Unicellular - both fungi and protists
Stationary - fungi
Reproduces through spores - fungi
Eukaryotic - both fungi and protists
Cillia - protists
Autotrophic - fungi
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Please help me with this!!!
Answer:
Its the first one.
Step-by-step explanation:
Just subtitue in values, the only one that works is the first one.
can anyone help me with this math question
12 boys
hope it helps...!!!
A base of a trapezoid is 16 feet, and the height is 3 feet. The area of the trapezoid is 36 square feet. Find the length of the other base
Answer:
8 feet
Step-by-step explanation:
Area of a trapezoid: h(a + b)/2
height, h = 3 ft
base 1, a = ?
base 2, b = 16 ft
area, A = 36 ft^2
36 = 3(a + 16)/2
72 = 3(a + 16)
24 = a + 16
8 = a
I hope this helps!
Which graph represents the solution set of this inequality?
11g-5< 49
Choose 1 answer:
Answer:
Answer choice A is the correct answer
Step-by-step explanation:
** Before you start: If anything that is < or > you shouldn't fill in the plot.
If it has ≤ or ≥then you need to fill in the plot.**
Terminology:
(>) : Greater than (Don't fill in)
(<): Less than (Don't fill in)
(≤) : Less than or equal to (Fill in)
(≥) : Greater than or equal to (Fill in)
In this case, the answer choices C and D are wrong automatically.
Your Inequality:
11g + 5 ≤ 49
Subtract 5 both sides
11g ≤ 49-5
11g ≤ 44
Divide 44 by 11
g ≤ 4
Find an answer choice that has a number greater than 4 but has a filled-in circle/plot.
Answer choice A is the correct answer
Sara uses ribbon to make hair bows. The length of each ribbon Sara uses is represented by the line plot shown. What is the difference, in feet, between one of the pieces of ribbon that has the longest length and one of the pieces that has the shortest length?
1 foot because if you do 1 1/2 - 1/2 = 1
A washing machine has the following cycle: soak for 15 minutes, wash for 30 minutes, and rinse for 10 minutes. If you approach the machine at a random during the cycle, what is the probability that the cycle will be in the rinse phase when you arrive at the machine
If the slope of a line is undefined, does the line rise (from left to right), fall (from left to right), horizontal or vertical?
Answer:
Vertical.
Step-by-step explanation:
Slope judges the vertical angle in which the line is moving, from point to point. If the line is vertical in it of itself, there will be no specific point in which you can use to define the slope. The denominator of run is always 0, and having a 0 for denominator will result in the fraction being undefined. You cannot have parts of nothing, mathematically.
Vertical. Please consult the explanation for more details.
Solution:If the line's slope is undefined, then the line is vertical.Lines with an undefined slope have a run of zero.Remember one of the formulae for slope: Rise/Run.If the run is zero, the slope is undefined.You should be cognisant of the fact that division by zero is undefined. If not, please do not worry. Let me explain what the run is. The run is the amount of units we move left or right, or "run".The rise is the quantity of units we move up and down, or "rise".Hope it helps.
Do comment if you have any query.
whats 1784 rounded off
Answer:
1780 is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let
Answer:
Depends on which digit r you asking for
thousands: 2000
hundreds: 1800
tenths: 1780
units: 1784
PLEASE HELP!! 20 POINTS!!
Answer:
yea
Step-by-step explanation: