The value of x = 93°
What is sum of exterior angles of polygon?
A polygon's exterior angles are created by extending one of its sides and its other side. 360 degrees is the total of all the exterior angles in a polygon. You're already familiar with the word "polygon." A flat figure with three or more line segments and an enclosed perimeter is referred to as a polygon. The line segments are referred to as the sides, and the intersection of two sides is referred to as the polygon's vertex. Adjacent sides are a pair of sides that intersect at the same vertex. The interior angle is an angle at one of the vertices. All different kinds of polygons have different internal and external angles at each vertex.
According to above property,
We have(x-11)° + (x+10)° + 31° + (2x-42)° = 360°⇒ 4x - 12 = 360⇒ x = 93°
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Tina´s family is taking a road trip. If they travel for 3.5 hours on the first day, 2 hours on the second day 4.5 hours on the third day, and 4 hours on the fourth day, how long did they drive overall
Answer:
14.
Step-by-step explanation:
this a addition problem since it says "overall".
you simply add them.
Determine the coordinates of the vertices of the resulting image A'B'C'D'E'
after ABCDE
is rotated 90°
counterclockwise about the origin using the answer bank below.
The coordinates of the vertices of the resulting image A'B'C'D'E' is A'(-2,2), B'(-4, 2), C'(-6,4), D'(-4,6) and E' (-2,6) when ABCDE
is rotated 90° counterclockwise about the origin.
When point M (h, k) is rotated through 90 degrees in a clockwise direction around the origin O, the rotation of the point occurs. M' will represent the updated location of point M (h, k) will become M'(k, -h).
In 90° counterclockwise rotation,
(x, y) becomes (-y, x)
A(2, 2) becomes A (-2, 2)
B (2, 4) becomes B' (-4,2)
C(4,6) becomes C (-6, 4)
D (6,4) becomes D' (-4,6)
E (6, 2) becomes E' (-2, 6)
Answers:
A'(-2,2)
B'(-4, 2)
C'(-6,4)
D'(-4,6)
E' (-2,6)
Hence there are the answers for the given question.
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pls help me with this question
The length of the given rectangle is calculated as: 18 yards
How to find the dimensions of the rectangle?The formula for the area of a rectangle is:
Area = Length * Width
Let length be denoted by x and let width be denoted by y.
We are told that the length is twice its' width. Thus:
x = 2y
If area is 162 yd², then we have:
y * 2y = 162
2y² = 162
y² = 162/2
y² = 81
y = √81
y = 9
Thus:
x = 2 * 9 = 18 yards.
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Select the correct answer from each drop-down menu.
Aerial's grandmother gave her $5,500.00 to save for her college education. She went to the bank to open a savings account. The bank told her they had two options available.
Account A will pay 5.5% simple interest until the account is closed.
Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. When the initial account is closed, the bonus account will be closed as well and the money from the two accounts will be combined.
If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account
is the better choice earning her
more.
If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account B is the better choice earning her $41.25 more.
two step equations
find the value of the unknown variable in the equation
3b+4= - 31
help asap! giving brainliest!
⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️
The graph of a function f is shown below.
Use the graph of the function to find Its average rate of change from x=-1 to x = 3.
Simplify your answer as much as possible.
Answer:
Step-by-step explanation:
2
would you like to know how I got that?
there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?
A. 5:7
B. 7:5
C. 3:4
Answer:
eather a 5:7 or c 3:4
Step-by-step explanation:
i rlly do hope this helps and good luck
Redue the rate 100 miles per 5 hours to its unite rate and write the miles Portion
find the volume of the cylinder either enter an exact answer in terms of Pi or use 3.14 for pi
\(v = h\pi \: {r}^{2} \)
v = 5×3,14×2power 2
= 62.8
Answer:
V=πr2h=π·22·5≈62.83185
A house is bought for 20 000 and sold 24 000. What is the percentage profit
Answer:
20%
Step-by-step explanation:
Profit = 24000 - 20000 = 4000
\(Profit \: percent = \frac{4000 \times 100}{20000} \\ = \frac{400000}{20000} \\ = 20\%\)
List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}
Answer:
Domain: {7, 4, 0} Range: {-8, 4, 1, 8}
Step-by-step explanation:
the domain is just the x values and the range is just the y values when just a list of cordinates are given.
The diameter of a hydrogen atom is about 1.05 cross times 10 to the power of negative 10 end exponentmeters. a protein molecule has an overall length of 3000 times (or 3 cross times 10 cubed times) the diameter of a hydrogen atom. what is the length of the protein molecule, in meters, if it were written in scientific notation?
The length of the protein molecule, in meters, is 208 × 10⁻⁹m.
What is an atom?An atom is a matter particle that defines a chemical element uniquely. An atom is made up of a central nucleus and one or more negatively charged electrons. The nucleus is positively charged and contains one or more protons and neutrons, which are relatively heavy particles.To find the length of the protein molecule:
Diameter of hydrogen atom = 104 × 10⁻¹⁰m
We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.
Length of protein molecule = 2000 × Diameter of the hydrogen atomLength of protein molecule = 2 × 10⁺³ × 1.04 × 10⁻¹⁰Length of protein molecule = 2 × 1.04 × 10⁻¹⁰⁺³Length of protein molecule = 2 × 1.04 × 10⁻⁷Length of protein molecule = 2.08 × 10⁻⁷Length of protein molecule = 208 × 10⁻⁷⁻²Length of protein molecule = 208 × 10⁻⁹mTherefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.
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The correct question is given below:
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
What is the following quotient? startfraction 9 startroot 2 endroot over 4 minus startroot 7 endroot endfraction startfraction 9 startroot 7 endroot startroot 14 endroot over negative 3 endfraction startfraction 36 minus 9 startroot 7 endroot 4 startroot 2 endroot minus startroot 14 endroot endfraction startfraction 36 9 startroot 7 endroot 4 startroot 2 endroot startroot 14 endroot over 9 endfraction startfraction 79 over 9 endfraction
The quotient of the following expressions is given as 7.69, -9.18, 14.10, 7.69, and 8.78.
What is the quotient?The quotient means the separation of something into different parts, sharing of something among different people, places, etc.
1. Start fraction 9 + start root 2 and root over 4 minus start root 7 end root end fraction.
\(\dfrac{9 + \sqrt2}{4-\sqrt7} = 7.69\)
2. Start fraction 9 start root 7 end root + start root 14 end root over negative 3 end fraction.
\(\dfrac{9\sqrt7 + \sqrt{14}}{-3} = -9.18\)
3. Start fraction 36 minus 9 start root 7 end root + 4 start root 2 end root minus start root 14 end root end fraction.
\(36 - 9\sqrt7 + 4 \sqrt2 - \sqrt{14} = 14.10\)
4. Start fraction 36 + 9 start root 7 end root + 4 start root 2 end root + start root 14 end root over 9 end fraction.
\(\dfrac{36 + 9\sqrt7 + 4 \sqrt2 + \sqrt{14} }{9} = 7.69\)
5. Start fraction 79 over 9 end fraction.
\(\dfrac{79}{9} = 8.78\)
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john has walked 15% of the way home from school. if he has walked 54 yards so far, how far does he walk home from school
Answer: John walks a total of 360 yards from school.
Step-by-step explanation:
Let's represent the total distance John walks from school as "x".
According to the problem, John has already walked 15% of the way, which can be written as:
0.15x
We also know that he has walked 54 yards so far, which means:
0.15x = 54
To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:
x = 54 ÷ 0.15
x = 360
Therefore, John walks a total of 360 yards from school.
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what is the slope of the line
Answer:
-2/3
Step-by-step explanation:
pick two points
0,5 and 9,-1
Substitute in y2-y1/x2-x1
5+1/0-9
6/-9
-2/3
slope-intercept form
y=-2/3+5
A lake has a surface area of 15.4 square miles. What is its surface area in square meters?
Terry bought some gum and some candy. The number of packs of chewing gum was one more than the number of mints. The number of mints was three times the number of chocolate bars. If gum cost 6 cents a pack, mints cost 3 cents each, and chocolate bars cost 10 cents each, how many of each confection did he get for 80 cents?
Answer:
Hi!!
Step-by-step explanation:
7 = chewing gum
6 = mints
2 = chocolate
Answer:
number of packs of chewing gum is 7
number of mints is 6
number of chocolate bars is 2
Step-by-step explanation:
number of packs of chewing gum → x, cost 6¢
number of mints → y = x-1 =3z, cost 3¢
number of chocolate bars → z = y/3 = (x-1)/3, cost 10¢
put in equation 6x + 3y +10z = 80 plug in term of x
6x +3(x-1) +10((x-1)/3) =80 multiply each side by 3
18x +9(x-1) +10(x-1) =240 distribute
18x+9x-9+10x-10 =240 combine like terms
37x-19 = 240 add 19 in each side
37x =259
x = 7
plug into y = x-1 = 7-1 = 6 so y=6
and z = y/3 =6/3 =2 so z = 2
i need help plss i need an answer
(PLEASE HELP ME ASAP)
Write down a number that has a value less than |4.7|
Answer:
4.6
Step-by-step explanation:
3.. litteraly anything less than that
Answer:
0
Step-by-step explanation:
|4.7| = 4.7
Any number less than a positive 4.7 is less than |4.7|.
mr.ortega sandwich shop sells and 6 inch sandwich for 3.30 and a 12 inch sandwich for 7.20 he wants to find out which sandwich is the better deal
Answer:
the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch
Please please help please!!
Answer:
The vertex is at (-2,-8)
Step-by-step explanation:
You go left 2, and down 8, and then it's a scale of 1
A sequence can be generated by using an=1/4an−1, where n is a whole number greater than or equal to 1.
Given a7=20, what is a8?
2
5
40
80
Answer: its 40
Step-by-step explanation:
Can someone help with 16 and 18
9514 1404 393
Answer:
16. k^5/j^3
18. 81y^20
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c) . . . . where b may be 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
___
We can simplify the given expressions as follows.
16.\(\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}\)
__
18.\((x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}\)
Observa el ejemplo resuelto y calcula de este modo los restantes
. [(-14)- (+3)] - (+8) =
. [(-16) - (-9)] (-7) =
[(+18) - (-6) - (+18) =
[(+21) - (-16) - (-14) =
[(-32) - (-19)] -(-11) =
[(-49) - (-21)] - (+12)=
The values for the remaining calculations are:
[(-14)- (+3)] - (+8) = -25[(-16) - (-9)] (-7) = 0[(+18) - (-6) - (+18) = 6[(+21) - (-16) - (-14) = 51[(-32) - (-19)] -(-11) = -2[(-49) - (-21)] - (+12) = -40How to solve addition and subtractions?To calculate the remaining values step by step:
Simplify the first expression: [(-14) - (+3)] - (+8) =
Subtracting 8: = -14 - 3 - 8
= -25
Simplify the first expression: [(-16) - (-9)] - (-7) =
Adding 7: = -16 + 9 + 7
= 0
Simplify the first expression: [(+18) - (-6)] - (+18) =
Subtracting 18: = 18 + 6 - 18
= 6
Simplify the first expression: [(+21) - (-16)] - (-14) =
Adding 14: = 21 + 16 + 14
= 51
Simplify the first expression: [(-32) - (-19)] - (-11) =
Adding 11: = -32 + 19 + 11
= -2
Simplify the first expression: [(-49) - (-21)] - (+12) =
Subtracting 12: = -49 + 21 - 12
= -40
Therefore, the remaining calculations are:
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What is the slope of the line shown in the graph?
Answer:
1/2
Step-by-step explanation:
from point to point, you rise by one and run to the right by two
therefore, slope = 1/2
Ann put $2,500 in the bank and left it for 2 years. At the end of the 2 years she found that she had $2,700. Calculate:
i) the simple interest earned.
ii) the annual rate percent paid by the bank.
Answer:
1. 200 per two years or 100/year, 2. 4%
Step-by-step explanation:
2700-2500=200 interest earned for two years or 100 per year
principle x interest rate =interest earned per year
2500 x interest rate =100
interest rate =100/2500
interest rate =.04 or 4%
The area of a square is 25 square meters. what is the length of one side of the square
Answer:
6.25.
Step-by-step explanation:
25 divided by 4 is 6.25.
Can someone help me I think I'm doing my math wrong
Answer:
Ay bruv I need to see the answer choices to help
Step-by-step explanation:
Lavonne sold 4 times as many raffle tickets as Kenneth. Lavonne sold 56 raffle tickets. Write an equation with a variable and solve the equation to find how many tickets Kenneth sold
Equation: 4x = 56
Answer: 14 tickets
Step-by-step explanation:
4x = 56
Lavonne's tickets sold 4 times as many as Kenneth's. This means we would need to multiply Kennneth's ticket by 4 to equal Lavonne's.
4x/4 = 56/4
Now you need to solve the equation by isolating x. Here you have to divide both sides by 4.
x = 14
Kenneth sold 14 tickets.
4(14) = 56
Please help!!! Anything is helpful!
Step-by-step explanation:
Equation to find the sum of the first n terms :
\(S_{n}\) = \(\frac{n}{2}\) x (2\(a_{1}\) + (n - 1)d)
- where n is the first n terms
- where \(a_{1}\) is the first term in the sequence
- where d is the difference (To find the difference: \(a_{1}\) - \(a_{2}\))
How to find n for the given sum :
1. Using the previous equation, plug in all the numbers that you know
2. PEMDAS then combine all like terms
3. Distribute what's on the outside to the inside of the parenthesis
4. Move \(S_{n}\) to the other side to make a quadratic equation
5. Solve the quadratic, then use the positive number and round that number (term of numbers that isn't whole isn't possible ig??)
Question 1:
Sum of first 10 terms : \(S_{10}\) = \(\frac{10}{2}\) ( 2 x 2 + (10 - 1)6)
\(S_{10}\) = \(\frac{10}{2}\) (4 + (9)6) = (4 + 54) = 58
\(S_{10}\) = \(\frac{10}{2}\) x 58
Answer : 290
Find n for the given sum : 1704 = \(\frac{n}{2}\) x (2 x 2 + (n - 1)6)
distribute 6 into (n-1)
1704 = \(\frac{n}{2}\) x ( 4 + 6n - 6)
combine like terms
1704 = \(\frac{n}{2}\) x ( -2 + 6n )
Distribute \(\frac{n}{2}\) to ( -2 + 6n )
1704 = \(\frac{-2n}{2}\) - \(\frac{6n^{2} }{2}\)
Simplify fractions and move 1704 to the other side
-3\(n^{2}\) - n + 1704 = 0
Use a quadratic calculator to find the answer and use the answer with the whole number
Answer : -24
Question 2:
(i'm just gonna show you the answers for the rest of them-)
Sum of the first 14 terms: 490
Find n for the given sum: 33.65 (I'm gonna round it to 34)
Question 3:
Sum of the first 21 terms: 483
Find n for the given sum: 11.48 (rounded: 11)
Question 4:
Sum of the first 32 terms: -1328
Find n for the given sum: -9.34 (rounded -9)
really hope this helps in any way :D