Answers
Answer:
x = 44
Step-by-step explanation:
Given that line m is parallel to line n, the angles that we see are same-side exterior angles, meaning that these two angles add up to 180°.
Set up the equation: [tex]112 + (2x - 20) = 180[/tex] and solve for x.
. . . . . . . . . . . . 112 - 112 + 2x - 20 = 180 - 112
. . . . . . . . . . . . 2x - 20 + 20 = 68 +20
. . . . . . . . . . . . 2x /2 = 88 /2
. . . . . . . . . . . . ∴ x = 44
Related Questions
find the values of x in the following, giving brief reasons for your answers.
please help me, thank you.
Answers
Answer:
For the first one x= 60 degrees
Second one x= 125 degrees
Step-by-step explanation:
a) To figure out this we can see that the total of angles in a 5- angled shape is 540 degrees.
So (2x X 4) + x = 540 degrees
= 9x= 540
= x = 60
b) To figure out this we can see that the total of angles in a 7- angled shape is 900 degrees.
So 60+2x+x+x+x+x+90= 900
= 150 +6x= 900
= 6x= 750
= x= 125
Find the product of (x − 2i)2.
Answers
Simplify the real and imaginary parts of the expression.
2x-4i
Emilie buys new packages of seeds. The cost C of the new seeds equals one half the weight W of the package. Write an equation to represent this relationship
Answers
Answer:
C = W/2
CHECKING
let W = 10
C = W/2
C = 10/2
C = 5
C = 5 W = 10
Therefore we proved that C = W/2 is correct equation.Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Let’s find 3/4-1/6
First write the subtraction with a common denominator then subtract
Answers
[1/6]* 2=2/12
9/12-2/12=7/12
Answer:
7/12
Step-by-step explanation:
I set up the equation, but I first had to find the common denominator which is 12 so I multiplied 3/4 by 3 (top and bottom) and I multiplied 1/6 by 2 (also top and bottom) So I got 9/12-2/12 and when I subtracted I got 7/12
(hope you understood how I got my answer..)
Express 2678 as a product of prime numbers
Answers
Answer:
2, 13, 103
Step-by-step explanation:
These prime numbers are the ones.
2678 = 2 * 13 * 103
A prime number is a natural number that is greater than one and is not a product of smaller natural numbers. For example, 3 is a prime number and we can write it as a product, 1 * 3 or 3 * 1, which involves 3 itself.
So, prime numbers are those numbers that have only two factors, which are 1 and the number itself.
A natural number that is greater than 1 and is not a prime number, is called a composite number. Every natural number which is greater than 1, is either a prime itself or can be factorized as a product of primes that is unique up to their order.
The answer is -
2678 = 2 * 13 * 103
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If cos 0= 3/5 what is the measure of the angle
Credit recovery
Answers
By using trigonometry, it can be calculated that The measure of the angle is 53.13° First option is correct.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. It is used to calculate lengths, angles, and other geometric figures. Trigonometry has applications in many fields, including engineering, astronomy, and navigation. The most common trigonometric functions are sine, cosine, and tangent. These functions are used to solve problems related to triangles, circles, and other geometric figures. Trigonometric identities are also used to solve algebraic equations. Trigonometry is an important tool for studying the physical world, as it allows us to calculate the position and motion of objects in space.
There are six trigonometrical functions. They are
[tex]sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]
[tex]sin\theta = \frac{perpendicular}{hypotenuse}\\cos\theta = \frac{baser}{hypotenuse}\\tan\theta = \frac{perpendicular}{base}\\cot\theta = \frac{base}{perpendicular}\\sec\theta = \frac{hypotenuse}{base}\\cosec\theta = \frac{hypotenuse}{perpendicular}\\[/tex]
Trigonometry is a very important tool in mathematics.
Here, the trigonometric function given is
[tex]cos\theta = \frac{3}{5}[/tex]
[tex]\theta = cos^{-1}(\frac{3}{5})[/tex]
[tex]\theta = 53.13^{\circ}[/tex]
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If you wanted to make $798 by investing $6139 for 3 years in an account that pays simple interest, what interest rate you would need to achieve your goal?
Answers
Answer:
Below
Step-by-step explanation:
6139 * x * 3 = 798
x = 798/(3*6139) = .0433= 4.33%
Find the value of x
Area of rectangle = 50
Answers
Answer:
x = 3.66
Step-by-step explanation:
Area of a rectangle = length * width
In this case:
(x+10)x = 50
x*x + x*10 = 50
x² + 10x - 50 = 0
x = {-10±√((10²) -(4*1*-50))} / (2*1)
x = {-10±√(10² + 200)} / 2
x = {-10±√(100+200)} / 2
x = {-10±√300} / 2
x = {-10±17.321} /2 aprox,
It is a geometric figure so only the positive value is taken.
x = {-10+17.321} / 2
x = 7.321/2
x = 3.66
Check:
3.66(3.66+10) = 50
3.66*13.66 = 50
Please I need help and please show work rational function lots of points
Answers
teh velocity of a partilce in ft/s, moving along the x axis is given the function v(t) e^t te^t when 0
Answers
The magnitude of the acceleration of the particle is zero when the velocity of the particle is zero.
What is Acceleration ?
Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
Given,
Velocity v= x² − 5x + 4
now, the acceleration
a = dv/dt
a = 2x (dx/dt) - 5x(dx/dt)
given that, v= dx/dt =0
so, a = 2x*0−5*0
a=0 m/sec²
so, the acceleration is zero ,when the velocity is zero.
Hence ,The magnitude of the acceleration of the particle is zero when the velocity of the particle is zero.
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Given question is incomplete , the complete question is given below:The velocity of a moving particle along the x-axis is given as v= x² − 5x + 4, where x denotes the x−coordinate of the particle in meters. Find the magnitude of the acceleration of the particle when the velocity of the particle is zero?The midpoint of PR is (-6,9). P=(-15,4)
What are the coordinates of point R?
R=(_,_)
Answers
Answer:
R = (3, 14 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula
calculate the midpoint of PR using this formula and equate x and y coordinates to the coordinates of the given midpoint
let coordinates of R be (x, y ) and P = (- 15, 4 ) , then
[tex]\frac{x-15}{2}[/tex] = - 6 ( multiply both sides by 2 )
x - 15 = - 12 ( add 15 to both sides )
x = 3
and
[tex]\frac{y+4}{2}[/tex] = 9 ( multiply both sides by 2 )
y + 4 = 18 ( subtract 4 from both sides )
y = 14
the coordinates R = (3, 14 )
Please help please and thank you
Answers
Answer:
Z
Step-by-step explanation:
Angle V is congruent to angle z because they have the same placement in the letter order.
what number do you get by adding 59 hundred to 31 thousandths?
Answers
im not sure if you made a mistake and meant hundredths or not but if you are adding hundreds it would be 59.031 but if you adding hundredths is would be 0.621.
David invests $800 into an account with a 2.3% interest rate that is compounded semiannually.
How much money will he have in this account if he keeps it for 5 years?
Round your answer to the nearest dollar.
Answers
To calculate how much money David will have in this account after 5 years, we first need to find out how much interest the account earns each year. To do this, we need to multiply the interest rate by the amount of money in the account. In this case, the interest earned each year would be $800 * 0.023 = $18.40.
Next, we need to calculate how much interest the account earns over the 5-year period. Since the interest is compounded semiannually, this means that the interest is earned twice per year. Therefore, the total amount of interest earned over 5 years would be $18.40 * 2 * 5 = $184.
Finally, we need to add the interest to the original amount of money in the account to find out how much money David will have after 5 years. In this case, the total amount of money David will have after 5 years is $800 + $184 = $984.
Therefore, if David keeps the money in this account for 5 years, he will have $984.
Answer:
$897
Step-by-step explanation:
We know:
P = 800
n = 2
r = 2.3
t = 5
Write Equation:
[tex]F = 800(1+\frac{\frac{2.3}{100} }{2} )^{2(5)}[/tex]
Evaluate:
896.9
Thus the answer is $897
How much would you need to deposit in an account now in order to have $2,000.00 in the account in 13
months?
Assume the account earns 4.01% simple interest.
in your account now.
You would need to deposit _____ in your account now.
Answers
Answer:
$1916.73
Step-by-step explanation:
[tex]I=Prt=P(0.0401)(13/12) \\ \\ \implies P+P(0.0401)(13/12)=2000 \\ \\ P=\frac{2000}{1+(0.0401)(13/12)} \approx \$1916.73[/tex]
Last year at a certain high school, there were 56 boys on the honor roll and 135 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answers
There is an effective change of 50% in the school.
What is Percentage?
A percentage is a relative figure that represents the hundredth part of any amount. One percent (symbolised 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.
Solution:
To find the net/effective change we can the use the formula:
(a + b + ab/100)
here a and b are the rate of change
a = 25% and b = 20%
Net change = (25 +20 + 500/100) = 45 + 5 = 50%
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You want to see how average political views (10 point continuous scale from extreme liberal to extreme conservative) is predicted by social class (3 categorical levels) and religious affiliation (yes/no). You suspect that the effect of religious affiliation changes between social classes.
Answers
The average of the provided numbers is calculated by dividing the total number of values by the sum of all the values that different socioeconomic classes are affected differently by religion membership.
What is an average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a collection of data, we add up all the values and divide this sum by the total number of values. a single number (such as a mean, mode, or median) that encapsulates or depicts the overall importance of a collection of disparate data. unkind sense 1b.: a calculation that approximates the arithmetic mean. an intellectual level that is characteristic of a group, class, or series. superior than average.
[tex]65, 85, 70, 90, 105.[/tex]
Average =
[tex](65+85+70+90+105)/5\\= 415/5\\= 83\\[/tex]
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there are 75 animals at the animal shelter. if 27 are hamsters, what percent are hamsters
Answers
To find the percentage of a whole you would do this:
27/75 = 0.36
0.36 x 100 = 36
36% of the animals in the shelter are hamsters.
Step-by-step explanation:1. Find the quotient between the amount of hamsters and the total of animals.[tex]\frac{27}{75}= 0.36[/tex]
2. Convert the decimal into a percentage.0.36 = 36%.
3. Conclude.36% of the animals in the shelter are hamsters.
I need help with these problems
Answers
Step-by-step explanation:
whenever you see a variable ( a letter ) without a number in front of it, add a 1 ! It means the same thing...
y is the same as 1y
1). 3y + y = ?
Add that 1!
3y + 1y = ?
This problem is the same as 3 + 1
3y + 1y = 4y
2). b + b = ?
Add those 1's !
1b + 1b = ?
this is the same as 1 + 1
1b + 1b = 2b
Remember to keep the variable !
Part B is like a puzzle and the instructions give us hints.
It is telling us, when we see an r, we replace it with the number 3
and when we see t , we replace it with the number 9
Let's solve these puzzles!
8). [tex]\frac{r}{t} = ?[/tex]
We see and r and a t, let's plug in 3 and 9
Now we have ...
[tex]\frac{3}{9} = ?[/tex]
Divide using a calculator!
We get ....
[tex]\frac{3}{9} = \frac{1}{3}[/tex] or 0.33
9). [tex]rt = ?[/tex]
When variables are right next to each other, this means they are being MULTIPLIED!
Let's replace r and t with 3 and 9 and multiply them together!
[tex]rt =[/tex] 3 × 9
3 × 9 = 27
We do similar things for Part C
12). [tex]ab = ?[/tex]
It tells us a = 5 and b = -4
Let's plug it in
[tex]ab =[/tex] 5 × -4
5 × - 4 = -20
USE THESE EXAMPLES AND TIPS TO COMPLETE THE REST OF THE PROBLEMS AND I WILL CHECK THEM FOR YOU.
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Evaluate the surface integral. S (x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 6, 0 ≤ v ≤ 1.
Answers
Answer:
684.
Step-by-step explanation:
Which ordered pairs are solutions to this system of inequalities?
x+5 y>8
4 x-y<6
Select each correct answer.
(2,-3)
(-1,5)
(10,2)
(-4,1)
(0,4)
(-6,7)
Answers
The ordered pairs to the system of linear inequality are (-1, 5), (0, 4), (-6, 7)
System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In the problem given;
x + 5y > 8 ...eq(i)
4x - y < 6 ...eq(ii)
From eq(i)
x + 5y > 8
x > 8 - 5y ...eq(iii)
however, this can easily be solved using a graph.
Plotting the inequality in a graph line;
The ordered pairs are (-1, 5), (0, 4), (-6, 7)
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Which graph represents the inequality y ≥ 2−2x?
I took a guess on this question. I just want to be sure my guess was right!
Answers
Answer:
Yes, your answer would be correct.
Step-by-step explanation:
That graph intersects at (0, 2), is a solid line, and the slope is -2.
What is the measure of ZE, in degrees? D 48 5 O A. Cannot be determined OB. 48° O C. 96° D. 84°. :)
Answers
Answer:
84
Step-by-step explanation:
EFD is an iscosilies triangle therefore angle F = angle D = 48
and therefore angle E= 180-48-48=84
If you are given an equation of a line
and a set of points, and are asked to find
an equation of a line parallel to Line #1,
what do you need to do?
Answers
Find the value of 3 - 12 by 5
Answers
Answer: 3/5
Step-by-step explanation:
Let x be the required solution:
so, x= 3- (12/5)
⇒ 5x = 15-12 (Multiplying both sides 5 so that the denominator is the same)
⇒ 5x = 3
∴ x = 3/5
in the U
f(x) =
f'(x) =
xsinx COSX
oxsinx - cosx + (xsinx) - D[cosx)
+
D[x sinx] =
J₁
11
=
o[f(x). g(x)] = f'(x) g(x) + f(x
$6
D[sinx]
D[x]. sinx + x.
. Sinx
Sinx + x CUSX
1
sinx +X COSX
x COSY
£²
(x) = (sinx +xcosx) COSX + (xsinx)(-sinx)
f'(x) =
2
X Sin x
Answers
Find the slope of the line graphed below
Answers
Answer: -5/3
Down -5
right 3
Step-by-step explanation: count the distance between the 2 dots looking from the y axis (up and down)and from the x axis (left to right)
Practice 21: Combine the like terms to make a simpler expression
A. -3n-7+6n + 1
B 7x+5-3x
D. 12x² -5+7x² - 11x
a)
C. 6x + 4 + 15-7x
E 6g + 11 + 8g² - 15w
1 point
Answers
The like terms to make a simpler expression is 19 x^2-6 x+9 n-6
Group like terms
What is simpler expression?
Solving a math problem is the same thing as simplifying an expression. You basically strive to write an expression as simply as you can when you simplify it. At the conclusion, there shouldn't be any more multiplication, dividing, adding, or subtracting to be done.
[tex]=12 x^2+7 x^2+7 x-3 x-11 x+3 n+6 n-7+1+5-5[/tex]
Add similar elements[tex]: $12 x^2+7 x^2=19 x^2$[/tex]
[tex]=19 x^2+7 x-3 x-11 x+3 n+6 n-7+1+5-5[/tex]
Add similar elements: [tex]$7 x-3 x-11 x=-7 x$[/tex]
[tex]=19 x^2-7 x+3 n+6 n-7+1+5-5[/tex]
Add similar elements: [tex]$3 n+6 n=9 n$[/tex]
[tex]=19 x^2-7 x+9 n-7+1+5-5[/tex]
Add the numbers: [tex]$-7+1+5-5=-6$[/tex]
[tex]=19 x^2-7 x+9 n-6[/tex]
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If you are given an equation of a line
and a set of points, and are asked to find
an equation that is perpendicular to Line
#1, what do you need to do?
Answers
If you are given an equation of a line and a set of points, you should determine the slope of the equation that is perpendicular to the given equation of line. Lastly, you should use the set of points to write an equation for the perpendicular line.
How to determine an equation of this line?Mathematically, the slope-intercept or standard form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.In Mathematics, a condition that must be met for two lines to be perpendicular is given by this mathematical expression:
m₁ × m₂ = -1
Assuming the given equation of a line is y = 2x, the slope of the equation that is perpendicular to this line would be calculated as follows;
m₁ × m₂ = -1
2 × m₂ = -1
Slope, m₂ = -1/2.
In conclusion, you will use the newly calculated slope alongside the set of points to determine the equation for the perpendicular line either by using the slope-intercept form or point-slope form.
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Multiply 3.7x and 6x.
A: 9.7x
B: 9.7x2
C: 22.2x
D: 22.2x2
Answers
Answer:
22.2x²
Step-by-step explanation:
3.7x = 3.7 × x
6x = 6 × x
Multiplication of 3.7x and 6x
= 3.7 × 6 × x × x
= 22.2 × x²
= 22.2x²
Answer:
C. 22.2x^2
Step-by-step explanation: