A linear pair is supplementary.
It always helps to draw out a diagram with the information you have - it makes the solving process more visual and sometimes easier. I have attached a diagram of this linear pair.
So, since a linear pair is supplementary, we know these two angles add to equal 180°. Let's write this in an equation.
(5n + 15) + (4n + 21) = 180
Solve for n.
(5n + 15) + (4n + 21) = 180
5n + 15 + 4n + 21 = 180
9n + 36 = 180
9n = 144
n = 16
We're not done yet - now we have to plug this in for n to find the angle measures.
5n + 15
5(16) + 15
80 + 15
95
4n + 21
4(16) + 21
64 + 21
85
Lastly, check your work by adding the angle measures.
95 + 85 = 180
Answer:m∠EFG = 95°
m∠GFH = 85°
You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(x)=-16^2 + 32t + 5.2
Answer:the ball is released when t = 0
The ball is 5.2 feet above the ground when it is released
The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function has height with time t
f(x)=-16t² + 32t + 5.2
At the time of release, the value of time t will be 0
So, t = 0
f(x) = 0 + 0 + 5.2 ⇒ f(x) = 5.2 feet
So height is 5.2 feet
Now,
The time taken to cover this height will be
5.2 = 16t² + 32t + 5.2
16t² + 32t = 0
16t(t + 2) = 0
t = 0 and -2
Since if some height exists then time can never be 0 and time also does not exist in negative so consider 2.
Hence "The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.
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It’s simple I swear!!! what is the square root of 25 times the square root of 9
Answer:
15
Step-by-step explanation:
1st multiply the numbers: 25 × 9 = 225
2nd factor the number: 225 = √15^2
3rd apply radical rule: √15^2 = 15
Hope I helped :)
Answer:25 square root of 9
=25^9
Step-by-step explanation: if its a graph go to wolfram to see it because i cant draw it .
I hope I helps you.
SOLVE FAST BRAINLIEST ASAP
Y-9=41
Answer:
Y = 50
Step-by-step explanation:
Solve for Y:
Y - 9 = 41
Add 9 to both sides:
Y + (9 - 9) = 9 + 41
9 - 9 = 0:
Y = 41 + 9
41 + 9 = 50:
Answer: Y = 50
Answer:
Y=50
Step-by-step explanation:
First you have to know that whatever you do to one side of the equal sign you must do to the other. Now you want to try and get rid of the 9 so you can separate the variable.
Y-9=41
+9 +9
Y = 50
six more than twice a number is 24
Answer:
Step-by-step explanation:
I would say the answer is 6
6 + 6 than times by two is 24
What is 72 ÷ 8 + 4y3 when y = 3?
Answer:
117
Step-by-step explanation:
Given
72 ÷ 8 + 4y³ with y = 3, substitute y = 3 into the expression
= 72 ÷ 8 + 4 × 3³ ← evaluate exponent
= 72 ÷ 8 + 4 × 27 ← evaluate division and multiplication
= 9 + 108 ← calculate addition
= 117
Allen Barry deposited checks
totaling $1,584.19 into his savings
account. He withdrew $96.00 while
depositing some loose change. Allen's
total deposit was $1,530.24. How much
did he deposit in loose change?
Answer:
$42.05
Step-by-step explanation:
Take $96.00 from 1,584.19 to figure out how much he had before he deposited
1,584.19 - 96 = 1,488.19
Now take away what he had after he took 96, to after he added.
1,530.24 - 1,488.19 = 42.05
Allen deposited $42.05
What is the equation for the line that passes through the points (-5, 2) and (5,-6)?
Answer:
4x + 5y = -10 or y = -⅘x - 2
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{ -2 - 6}{5 + 5} = - \frac{8}{10} = - \frac{4}{5} [/tex]
Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:
y - y₁ = m(x - x₁)
y + 6 = -⅘(x - 5)
y + 6 = -⅘x + 4
- 6 - 6
_______________
y = -⅘x - 2
If you want it in Standard Form:
y = -⅘x - 2
+⅘x +⅘x
___________
⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅘x + y = -2]
4x + 5y = -10 >> Line in Standard Form
__________________________________________________________
y - 2 = -⅘(x + 5)
y - 2 = -⅘x - 4
+ 2 + 2
______________
y = -⅘x - 2
y = -⅘x - 2
+⅘x +⅘x
___________
⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅘x + y = -2]
4x + 5y = -10 >> Line in Standard Form
** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!
I am joyous to assist you anytime.
SUBTRACT
(−2x4−2x3+8x2+2)−(x4−5x3+2x+7)
Enter your answer, in standard form, in the box.
Answer:
[tex] -3x^{4} + 3{x}^{3} + 8{x}^{2}- 2x - 5[/tex]
Step-by-step explanation:
To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
Based on the calculations, the solution to the expression is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]
What is the distribution property of multiplication?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.
Based on the information provided above, we have this expression:
[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]
By applying the distributive property of multiplication to the given expression, we would open the parentheses by distributing the negative sign as follows:
[tex]-2x^4-2x^3+8x^2+2-x^4+5x^3-2x-7\\\\-3x^4+3x^3+8x^2-2x-5[/tex]
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Complete Question:
SUBTRACT
[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]
Enter your answer, in standard form, in the box.
2x - 3y = 3
x + 2y = 5
by substitution or elimination
2x - 3y = 3
x + 2y = 5
In the second equation we have an x-term that has a coefficient of 1 (which means the x is all by itself), so we can isolate that x and solve by substitution.
x + 2y = 5
x + 2y - 2y = 5 - 2y
x = 5 - 2y
The expression 5 - 2y will be substituted for x in the first equation.
2x - 3y = 3
2(5 - 2y) - 3y = 3
Solve for y.
2(5 - 2y) - 3y = 3
10 - 4y - 3y = 3 (distribute the 2)
10 - 7y = 3 (collect like terms)
-7y = -7 (subtract 10 from both sides)
y = 1 (divide both sides by -7)
Substitute 1 for y in the second equation to find x.
x + 2y = 5
x + 2(1) = 5
Solve for x.
x + 2(1) = 5
x + 2 = 5 (multiply)
x = 3 (subtract 2 from both sides)
Always check your work. Substitute into the original system.
2x - 3y = 3
2(3) - 3(1) = 3
6 - 3 = 3
3 = 3
x + 2y = 5
3 + 2(1) = 5
3 + 2 = 5
5 = 5
Answer:x = 3 and y = 1; (3,1)
the factors of 6x-30 are ?
Answer:
6 and x - 5
Step-by-step explanation:
Given expression,
[tex]6x-30[/tex]
Since, factor of a number or an expression is obtained after breaking up the number or expression,
Or we can say a number is always divisible by its factor.
[tex]\because 6x - 30 = 6x - 6\times 5 = 6(x-5)[/tex] ( By the converse of distributive property )
Thus, 6 and x - 5 are the factors of 6x - 30.
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?
Answer:
5 out of 13
Step-by-step explanation:
you will see all the multiples of six and 4 between 1 and 13.Which are
6=6 and 12
4=4,8,12
which are five numbers so 5 out of 13
4.) At a school fundraiser for every 9 boxes of
chocolate sold you earn 6 points. If you were
to sell 33 boxes, how many points would you
have earned?
2, 8, 7, 8, 6, 15, 6, 3, 8
What is the range of the data?
ОА. 2
Ов. 6
Ос. 8
Op. 13
OE. 15
Answer: 13
Step-by-step explanation: To find the range of the data set shown here, let’s first go over what range is. The range of a data set is the difference between the greatest number and the least number.
To find the range of the data set shown here, we will need to subtract the least number from the greatest number.
Least number = 2
Greatest number = 15
Greatest number - least number = range
15 - 2 = range
13 = range
Therefore, the range of the data set shown here is 13.
Does any one know this??
Answer:
Scalene triangle
Step-by-step explanation:
The correct answer is scalene triangle because this type of triangle has angles of many different sizes or measures ;)
PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :)
Answer:
○ B. Scalene Triangle
Step-by-step explanation:
All angles and sides are incongruent, according to the what you see in the triangle.
I am joyous to assist you anytime.
What happened on September 11, 2001?
Answer:
On 11 September 2001 (known as 9/11 in America), Islamist extremists hijacked four planes that were flying above the US. Two of them were flown into the twin towers of the World Trade Center in New York. Another was crashed into the Pentagon, the top military building in the capital city, Washington DC.
Step-by-step explanation:
Answer:
On the morning of September 11, 2001, 19 al-Qaeda terrorists hijacked four commercial passenger jet airliners, intentionally crashing two into the World Trade Center in New York City. The hijackers crashed a third airliner into the Pentagon. The fourth plane crashed in a field near Shanksville, Pennsylvania.
Hope this helps :)
A lawyer has an annual income of $173, 482 and will pay a 5.5% income tax rate. What is the amount of income tax in dollars and cents that the lawyer will have too pay?
Final answer:
The lawyer with an annual income of $173,482 and a tax rate of 5.5% will pay $9,541.51 in income taxes.
Explanation:
To calculate the amount of income tax that the lawyer needs to pay, we multiply their annual income by the income tax rate. In this case, the lawyer has an annual income of $173,482 and the income tax rate is 5.5%. The calculation would be:
Income Tax = Annual Income × Income Tax Rate
Income Tax = $173,482 × 0.055
Income Tax = $9,541.51
Therefore, the lawyer will pay $9,541.51 in income taxes.
how do you solve 2i and 2ii
Answer:
15 and 21
Step-by-step explanation:
Given the n th term formula
T = 2n + 5
To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula
[tex]T_{5}[/tex] = (2 × 5) + 5 = 10 + 5 = 15
[tex]T_{8}[/tex] = (2 × 8) + 5 = 16 + 5 = 21
Given:
Tn = 2n+5
`The fifth term, i.e., n=5Substituting the value inside the formula we get,
2(5) + 5 => 10 + 5 => 15
2. The Eighth term, i.e., n=8
Substituting the value inside the formula we get,
2(8) + 5 => 16 + 5 => 21
which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?
Answer:
○ A. x + y = 5
Step-by-step explanation:
Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so -1 remains the same:
1 = -[4] + b
↑
-4
5 = b
You have the equation, but all answer choices are in Standard Form, so we need to convert from Slope-Intercept to Standard:
y = -x + 5 >> Parallel Equation
+x + x
_________
x + y = 5 >> Standard Equation
I am joyous to assist you anytime.
Thom earns $12.40 per hour at the
Yankee Bowling Alley. He regularly
works 40 hours per week. He is paid
time and a half for each our of overtime
work. Last week he worked 42 hours.
What was his gross pay for the week?
Answer:
$3,645.6
Step-by-step explanation:
1hr=$12.4
42hrs=x
x=$520.8×7 =$3,645.6
15 POINT PLZ HURRY a kitchen measures 24 1/6 feet by 9 2/3 estimate the area of the kitchen
show work plz
Answer:
223 11/8 ft squared
Step-by-step explanation:
i made an improper fraction first then multiplied the numerators together and the denominators together and got 4205/18 then i simplified and got 233 11/18
145 x 29 = 4205 = 233 11/18
6 3 18
The total cost after tax to repair Deborah’s computer is represented by 0.07(4 0h) + 4 0h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of tax Deborah has to pay? Explain
Answer:
depending on the national/ regional legal provisions in favour of the tax contributor where either the work is provided/ the computer was aquired/ placed, repaired/ the repair company has declared fiscal residency the cost ( in hours) could be determined by 0.07 ( 40h)
Final answer:
The expression 0.07(40h) in the equation represents the amount of tax Deborah has to pay. 0.07 stands for the 7% tax rate applied to the cost of repair, which is denoted by 40h.
Explanation:
The student has asked to identify the part of the expression in 0.07(4 0h) + 4 0h, which represents the tax Deborah has to pay for her computer repairs, where h represents the number of hours it takes to repair the computer. In this expression, the tax component is given by 0.07(40h).
The 0.07 represents the 7% tax rate on the cost of repair. The cost of repair, before tax, is represented by the term 40h. When you multiply 40h by 0.07, you are calculating 7% of the repair cost which equates to the tax amount.
Which formula can be used to describe the sequence below?
-8, -5, -2, 1,4,
Answer:
add by 3
Step-by-step explanation:
-8+3=-5
-5+3=-2
-2+3=1
1+3=4
Answer:
Step-by-step explanation:
this is a arithmetic sequence the first term is : A1 = -8
the comon difference is d = -5-(-8) =-2-(-5) =1-(-2) = 4-1 =3
the formula can be used to describe this sequence is :
An =A1 +(n-1)d
An = -8 +3(n-1)
An = 3n -11
-9x-6y=15,9x-10y=145
-9x-6y=15
9x-10y=145
Find y first by eliminating the x.
Add the two equations together.
-9x+9x-6y+-10y=15+145
-6y+-10y=15+145
-6y-10y=160
-16y=160
divide both sides by -16 to get +y
-16y/-16=160/-16
y=-10
Use the substitution method to find x
-9x-6y=15
-9x-6(-10)=15
Do the bracket first
-9x+60=15
Move +60 to the other side. Sign changes from +60 to -60.
-9x+60-60=15-60
-9x=-45
Divide both sides by -9
-9x/-9=-45/-9
x=5
Answer:
( 5,-10)
Is 63÷17= 37?I don't know
Answer:
No.
Step-by-step explanation:
The answer needs to be rounded, but it's approximately 3.706
Answer:
No it is 3.70588235294
You can also round it up to 3.705 or 3.706
Which of the following statements best summarizes nationalism in the Middle East during the 1920s?
The most accurate summary of nationalism in the Middle East during the 1920s is option c: Broken Western promises and conflicting nationalist goals set the nations of the former Ottoman Empire on the path to conflict.
After World War I, the Middle East experienced a surge in nationalist aspirations as the Ottoman Empire collapsed. However, the promises of self-determination made by Western powers, particularly through the Sykes-Picot Agreement and the Balfour Declaration, were largely unfulfilled.
This led to widespread discontent and conflicting nationalist goals, creating tensions and setting the stage for regional conflicts. Additionally, the imposition of artificial borders and the interference of Western powers further fueled nationalist sentiments, contributing to a turbulent period of political, social, and economic unrest in the Middle East during the 1920s.
The failure of Western promises and the clash of nationalist ambitions indeed played a pivotal role in shaping the trajectory of the region.
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The probable question may be:
Which of the following statements best summarizes nationalism in the Middle East during the 1920s?
a. Self-determination allowed the peaceful creation of new, modern nation states in the former Ottoman Empire.
b. The discovery of resources encouraged regional cooperation and introduced an era of prosperity for all people.
c. Broken Western promises and conflicting nationalist goals set the nations of the former Ottoman Empire on the path to conflict.
d. Turkey re-established the Ottoman Empire with a policy of tolerance towards the diverse groups of the region.
If a point, Ray, line segment, or plane intersects a segment at its midpoint, then it______ the segment
Answers:
Bisects
Multiplies
Parallels
Subtends
Answer: If A Point, Ray, Line Segment, or Plane intersects a segment at its midpoint, then it Bisects the segment.
Step-by-step explanation: A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a perpendicular bisector. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Point is equidistant from two points if its distance from each point is the same.
The wrong choice can be defined as follows
Multiplies is wrong because it is used as a mathematical sign.In maths, the parallel is also known as the lines that are not a plane and don't meet.The subtends are used as the contrary and stretch a straight angle from one side to the other, that's why it's wrong.Therefore, the "Bisects" is the correct choice.
Learn more:
Bisects: brainly.com/question/17445304
PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded. The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi units squared 72Pi units squared 144Pi units squared 324Pi units squared
Answer:
[tex]144\pi\ un^2.[/tex]
Step-by-step explanation:
In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.
The measure of the central angle QRS is [tex]\dfrac{8\pi}{9}[/tex]
1. Find the area of the whole circle:
[tex]A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.[/tex]
2. Note that the whole circle is determined by the full rotation angle with measure [tex]2\pi[/tex] radians. So,
[tex]\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}[/tex]
So, write a proportion:
[tex]\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}[/tex]
Cross multiply
[tex]2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.[/tex]
Answer:
144
Step-by-step explanation:
convert 35 inches into feet
Answer:
2.91666667 ft
Step-by-step explanation:
let f be a linear function such that f(1)=5 and f(3)=9. Find an equation for f(x)
Answer:
[tex]y = 2x + 3[/tex]
Step-by-step explanation:
First, we can find the slope of the line.
[tex]m = \frac{y1-y2}{x1-x2}\\m=\frac{9-5}{3-1}\\m = \frac{4}{2}=2\\[/tex]
Using the [tex]y = mx + b[/tex] equation, we can solve for b
[tex]9 = 2(3)+b\\9 = 6 + b\\b = 9-6 = 3[/tex]
Let's see if [tex]y = 2x + 3[/tex] works
[tex]2(1) + 3 \\2 + 3 = 5\\\\2(3) + 3\\6 + 3 = 9[/tex]
It checks out!
The points (3,2) and (6, r) lie on a line slope -3. Find the missing cordinate
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}~~=~~\stackrel{\stackrel{slope}{\downarrow }}{-3}\implies \cfrac{r-2}{3}=-3\implies r-2=-9\implies r=-7[/tex]