Answers
Answer:
x = 17
Step-by-step explanation:
The two indicated angles are corresponding and congruent, thus
11x - 31 = 8x + 20 ( subtract 8x from both sides )
3x - 31 = 20 ( add 31 to both sides )
3x = 51 ( divide both sides by 3 )
x = 17
Answer:
the answer is number 4 17
Step-by-step explanation:
Related Questions
Jae is constructing an open box from a piece of cardboard that is 9 in. wide and 12 in. long. He cuts squares of equal size from each comer of
the cardboard, as shown in the picture, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x
Answers
Answer:
The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is
[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].
Step-by-step explanation:
We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:
[tex]V = w\cdot h \cdot l[/tex]
Where:
[tex]w[/tex] - Width, measured in inches.
[tex]h[/tex] - Height, measured in inches.
[tex]l[/tex] - Length, measured in inches.
Polynomial functions in standard form are represented by the following form:
[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]
Where:
[tex]n[/tex] - Order of the polynomial, dimensionless.
[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.
[tex]x[/tex] - Indepedent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:
[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]
[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]
[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]
The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is
[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].
The volume of a box is the amount of space the box can occupy.
The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
The dimension of the cardboard is given as:
[tex]\mathbf{Length = 12}[/tex]
[tex]\mathbf{Width = 9}[/tex]
Assume the size removed from the box is x
The dimension of the box becomes
[tex]\mathbf{Length = 12 -2x}[/tex]
[tex]\mathbf{Width = 9 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, the volume (V) of the box is:
[tex]\mathbf{V = Length \times Width \times Height}[/tex]
Substitute known values
[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]
Open brackets
[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]
Open brackets
[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]
[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]
Rewrite as:
[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]
Express as a function
[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
Hence, the polynomial function is:
[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
Read more about volumes and functions at:
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The record high temperature in Alabama is 112°F and the record low temperature is −27°F. What is the difference between the highest and lowest temperature?
Answers
The difference between the highest and lowest temperature is 85°F.
Answer: 139F
Step-by-step explanation: You take 112F, and add negative which is -27F and you get the difference.
What is the sum of the arithmetic sequence 3, 9, 15 …, if there are 34 terms?
Answers
Lets subtract 3 from each term we get 0,6...
Now we have muplitles of 6
6*0
6*1
Now we can find last number whcich is 6*33=198
now use formula to find sum
PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answers
Answer:
ok hold on lemme go get something then ill edit my answer
Step-by-step explanation:
WILL GIVE BRAINLYIEST Which item, A or B has a higher overall net force? Show your work and include units.
Answers
Answer:
a does because 5-3= 2 net force to the right and b would total out to 1 to the right
Step-by-step explanation:
How do you solve a problem involving squeeze theorem?
Answers
Answer:
Step-by-step explanation:
if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.
In a triangle the longest side is 3 inches longer than twice the shortest side. The third side is 2 inches less than twice the shortest side. If the perimeter of the triangle is 61 inches, which equation should be used to find the length of the shortest side, s?
Answers
Answer:
your face
Step-by-step explanation:
:)
Let's let A, B, C represent the sides of the triangle from shortest to longest, then:
A = ?
B = A + 2
C = A + 3
To find the perimeter we add all the sides p = A + B + C, and based on the problem
p = A + B + C
26 = A + (A + 2) + (A+3)
26 = 3A + 5
21 = 3A
7 = A
Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:
A = 7
B = 7 + 2 = 9
C = 7 + 3 = 10
The lengths of the sides are 7 in, 9 in, and 10 in.
May I get brainliest please? :)
Find the product of (3.7 × 104) and 2.
A. 7.4 x 10^3
B. 0.74 x 10^4
C. 7,4 x 10^4
D. 74 x 10^4
Answers
Answer:
A. The answer is 7.4x10^3
Answer:
A. The answer is 7.4x10^3
Step-by-step explanation:
Which sets of ordered pairs show equivalent ratios use the grid to help you check all that apply
Answers
Answer:
(2,2), (4,4), (6,6)
Step-by-step explanation:
2×1= 2
2×2 = 4
2×3 = 6
Answer:
2nd and 4th options are correct choices.
Step-by-step explanation:
From the incomplete picture given below, we have:
2nd = (2,2), (4,4), (6,6)
4th = (4,1), (8,2), (12,3)
Enjoy!
20. SAILING On a sailing trip, each passenger needs a
life jacket, a lunch, and a bottle of water. Write an
expression in simplest form that represents the
weight carried by r passengers on the sailing trip.
Interpret the expression.
Answers
PLEASE I NEED THIS IN AN HOUR OR SO (15 point)
A line goes through the points (4, 6) and (–2, 3). What is the slope of the line perpendicular to that line?
Write the equation of the line through the points (–6, 3) and (9, 8).
Answers
All functions are relations. True False
Answers
Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30
Answers
Steps:
The solutions for the the system of equations are given as x = 1 and y = 2 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given system of linear equations are as follows,
12x - 7y = -2 (1)
8x + 11y = 30 (2)
In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,
2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30
=> -14y - 33y = -94
=> -47y = -94
=> y = 2
Substitute y = 2 in equation (1) to get,
12x - 7 × 2 = -2
=> 12x = -2 + 14
=> x = 12/12 = 1
Hence, the given system of linear equations is solved by elimination to give x = 1 and y = 2 respectively.
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How could you write the numerical expression “4x + 1.25” in words?
Answers
What is 47.2% as a fraction? (can someone show the work)
Answers
Answer: 59/125
Step-by-step explanation:
What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.
-3.09 +x= -0.7 What is the answer?
Answers
Answer:
2.39
Step-by-step explanation:
-3.09+X=-0.7
X=-0.7+3.09
X=2.39
x= -0.7 + 3.09
2. calculate the sum
x=2.39
Determine the domain of the relation.
{(3.0), (2,8), (17,10)}
Answers
Answer:
work is pictured and shown
I need help with this one please.
Answers
Answer:
m=3
Step-by-step explanation:
slope=m=y2-y1/x2-x1
(29,97),(18,64) for given points
m=64-97/18-29 ⇒ m=-33/-11
m=3
b): 97/29 ,64/18,-14/-8, 52/14,-71/-27
No, it does not matters which points you take to calculate the slope because at each point m=3for points (18,64) and (-8,-14)m=-14-64/-8-18
m=-78/-26
m=3for points:(-8,-14) and (14,52)m=52+14/14+8
m=66/22
m=3for points (14,52) and (-27,-71)m= 3write the equation of a line at a point (-8,-14)the equation of a line: y=mx+by=-14 , x=-8 , m=3, find b-14=3(-8)+b-14=-24+bb=-14+24b=10the equation : y=3x+10Find the solution set.
r^2 = 16
Separate the two values with a comma.
Answers
The solution set is r = (+4, -4) .
Which inequality represented the situation: clint has to spend a minimum of $75 in order to use his coupon at the store
Answers
Answer:
i think its c
Step-by-step explanation:
I think thats its C because 75 is the lowest it can go.
Name this angle in three different ways
Answers
Angle LMN
Angle NML
Angle M
These are the only ways to name this angle
Answer:
Angle NML, LMN, and the angle created by rays MN and ML intersecting at point M.
Step-by-step explanation:
The first two ways are just the points in order. The third can be written in multiple ways but I believe this one is quite explanatory.
Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
Answers
area of triangle formula=1/2*base*height
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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A class has 50 students. 20 students are playing basketball and rest are playing volleyball. The percent of the class playing basketball is?
a) 20 percent
b) 40 percent
c) 60 percent
Answers
Answer:
60 percent
Step-by-step explanation:
so 50 is half of 100,right? so that means you can just multiply everything by 2 to make it easier. so then there are 100 students and 40 play basket ball. so that means 40 percent play basketball and that only leaves 60 remaining :)
median of 2.5, 2.3, 2.3, 1.8, 2.3, 1.5 please help its due today ;(
Answers
Answer:
I got 2.3
Step-by-step explanation:
line them up in order and count from the outside
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: Given \: data}}[/tex] :
[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]
[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :
[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]
[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]
Finding the position of median
[tex] \bold{ \boxed{ \sf{ \: Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]
[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.
[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]
[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]
[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]
[tex] \longmapsto{ \sf{median = 2.3}}[/tex]
∴ Median = 2.3
-------------------------------------------------------------
[tex] \star \: \underline{ \tt{Remember ! }}[/tex]
▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.
▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.
Hope I helped!
Best regards! :D
~TheAnimeGirl
Are same side exterior angles congruent
Answers
multiply a+b, 7a^2b^2
Answers
Answer:
7a²b²(a + b)
Step-by-step explanation:
(a+b) (7a²2b²)
apply the exponential rule:
= 7(a + b) (ab)²
= 7a²b²(a + b)
Ann's Paycheck showed a regular weekly salary of $835.50 a deduction of 13.29 a bonus of 34.35 and 28.95 for overtime. what is ANN's final pay?
Answers
Answer:
$885.01
Step-by-step explanation:
Answer:
$885.51
Step-by-step explanation:
$835.50-$13.29= $822.21
-The first step is to subtract the deduction. Deduction always means subtract.
$822.21+$34.35= $856.56
-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.
$856.56+$28.95= $885.51
-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.
Which of these numbers rounds to 7.6? 7.546 7.630 7.670 7.720
Answers
Answer:
Step-by-step explanation:
only 7.630 round to 7.6
Ben buys bottles of sports drinks from the store for $2 each and takes them to his school's football games. He sells
them to the crowd for $5 each.
How many bottles
does he need to sell to make a profit of $75?
Answers
Answer:
15
Step-by-step explanation
We divide the amount he's selling them for, by the amount of money he needs to make.
75 divided by 5 equals 15.
He needs to sell 15 sports drinks to make $75.
Answer:
25
Step-by-step explanation:
75:(5-2)=25
and to check it
2×25=50
25×5=125
profit = 125-50
profit=75
answer is 25
The sides of a triangle are (x + 3) cm, (2x - 1) cm, and (3x + 4) cm. What is the perimeter of the triangle? *
Answers
Answer:
Step-by-step explanation:
Perimeter is all sides added together...
X+3+2x-1+3x+4
Combine like terms
X+2x+3x.. 6x
3-1+4.. 2+4.. 6
Answer:
6x+6