In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°
Answers
but
m<1 + m<2 = 180
4x + 36 + 3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21
m<2 = 3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60
m<3 = m<2 = 60
answer
60°
The measure of angle m∠3 would be 60°.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Given;
g ∥ h, m∠1 = (4x + 36)°,
m∠2 = (3x – 3)°.
m∠2 = m∠3 ( alternate interoir angle)
we know that
m∠1 + m∠2 = 180
4x + 36 + 3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21
Substituting
m∠2 = 3x – 3
m∠2 = 3(21) - 3
m∠2 = 63 - 3
m∠2= 60
Therefore, m∠3 = m∠2 = 60
Hence, The measure of angle m∠3 would be 60°.
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Related Questions
Find the slope m of the tangent to the curve y = 8 + 4x2 − 2x3 at the point where x =
a.
Answers
Final answer:
The slope m of the tangent to the curve y = 8 + 4x² - 2x³ at the point where x = a is found by taking the derivative of y with respect to x, which yields m = 8a - 6a².
Explanation:
To find the slope m of the tangent to the curve y = 8 + 4x² − 2x³ at the point where x = a, we first need to compute the derivative of the function y with respect to x. The derivative of a function at a particular point gives us the slope of the tangent line at that point.
The derivative of y with respect to x is given by:
dy/dx = d(8 + 4x² - 2x³)/dx = 8x - 6x²
To find the slope at x = a, we substitute a into the derivative:
m = 8a - 6a²
So, the slope of the tangent line at the point x = a on the given curve is m = 8a - 6a²
Clara earns at least $36.75 but not more than $98 working. She earns $12.25 per hour. The number of hours it takes Clara to earn p dollars is modeled by a function. t(p)=p12.25 What is the practical range of the function?
Answers
The range of the function modelling the number of hours it takes clara to earn p dollars is;
A set of all real numbers from 3 to 8
Minimum dollars she earns working; p_min = $36.75
Maximum dollars she earns working; p_max = $98
number of hours it takes her to earn p dollars is given by;
t(p) = p/12.25
Now, range of a function is a set of all possible output values.
Thus, t(36.75) = 36.75/12.25
t(36.75) = 3 hours
Similarly;
t(98) = 98/12.25
t(98) = 8 hours
Since minimum time is now 3 hours and maximum time is now 8 hours, then the range of the function is;
3 ≤ t ≤ 8 which is a set of all real numbers from 3 to 8
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i will give brianliest
Lars bought 3 jars of marbles. Each jar has 42 marbles, of which 13 are red. Lars can use the calculation below to find the total number of red marbles.
3×(13×42)
How can Lars simplify the calculation using only the associative property of multiplication?
a1/3 b 3 c 42 d (3×13) e (13×42)
Answers
is your answer
just change the parenthesis from (13 x 42) to (3 x 13), since you will still get the same answer (using associative property of multiplication)
hope this helps :D
Answer:
3 times 1/3
Step-by-step explanation:
Which equation represents a line that passes through the point (1,6) and is parallel to the line y = 5 - 3x?
Answers
y-6=5x-5
y=5x+1 <—that is the answer
PLEASSEEE HELPPP
Daisy's friend calls her and asks her to meet at the park in exactly 40 minutes. Which method should Daisy use to most accurately determine when 40 minutes have passed?
A. Daisy should use a stopwatch with minutes and seconds.
B. Daisy should count the minutes in her head after she receives the call.
C. Daisy should use an hourglass and flip it over every time the sand runs out.
D. Daisy should look at a clock that shows hours and minutes only.
Answers
So that she is able to be there in EXACTLY 40 mins. to the second.
Hope this helps you!
Good luck!
Describe how to graph a line given an equation in standard form.
Answers
We have to get that equation right there into a slope intercept, which is just isolating the variable y.
2x+8y=16
-2x -2x Subtract the x value.
------------------
(8y=16-2x)/8 Divide the whole equation by 8 to isolate the y value.
------------------
y=2-1/4x
------------------
The fraction with the variable x is the slope. In this case, the slope is -1/4, so meaning it goes down one unit and goes right 4.
------------------
The 2 is the y-intercept. (0, 2)
1. Which of the following could be an example of a function with a domain (-∞, ∞) and a range (-∞, 2)?
A. y= -(0.25)^x-2
B. y= -(3)^x-2
C. y= -(0.25)^x+2
D. y= -(3)^x+2
Answers
Which number line represents the following statement?
A number is more than negative five.
Answers
The open circle shows us that -5 is NOT in the solution. All the numbers greater than -5 ( x > -5) are in the solution.
Faith xoxo
So the dot on the 5 cannot be a colored dot, or else that means that "a number" can be 5, but it can't, because 5 is not more than 5 (confusing).
I hope this helps and isn't too confusing!
May
A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A? 50 ≤ x ≤ 58 x ≥ 50 or x ≤ 58 x ≥ 52 or x ≤ 56 52 ≤ x ≤ 56
Answers
The inequality that represents the predicted possible percent of votes is 50 ≤ x ≤ 58
The margin of error (E) shows by how much the measured value can differ from the mean value.
Given that the probability of winning the election is 54% and there is a margin of error of 4%, hence:
Let x represent the predicted possible percent of votes.
x = 54% ± 4%
x = (54% - 4%, 54% + 4%)
x = (50%, 58%)
The inequality that represents the predicted possible percent of votes is 50 ≤ x ≤ 58
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The inequality representing the predicted possible percent of votes for candidate A is [tex]\( 50 \leq x \leq 58 \)[/tex].
The predicted possible percent of votes, x, for candidate A considering the margin of error can be represented as follows:
Given:
- Predicted percentage of votes for candidate A = 54%
- Margin of error = ±4%
The predicted range of percentages for candidate A can be expressed as:
[tex]\[ 54\% \pm 4\% \][/tex]
This translates to:
[tex]\[ 54\% - 4\% \leq x \leq 54\% + 4\% \][/tex]
Calculate the lower and upper bounds:
[tex]\[ 50\% \leq x \leq 58\% \][/tex]
Therefore, the inequality that represents the predicted possible percent of votes x for candidate A is [tex]\( \boxed{50 \leq x \leq 58} \)[/tex].
Complete question:- A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?
50≤ x≤ 58
x≥ 50 or x≤ 58
x≥ 52 or x≤ 56
52≤ x≤ 56
I need this question answered asap! Thank you advance!!
The population in Rochester, New York, was 219,773 people in 2000 and 210,565 people in 2010. By about what percent did the population change? Did the population grow or shrink? Write the percent as a decimal.
Answers
Answer:
The population changed by 4.19%. The population shrank.
0.0419.
Step-by-step explanation:
We have been given that the population in Rochester, New York, was 219,773 people in 2000 and 210,565 people in 2010.
[tex]\text{Percent change}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}\times 100[/tex]
[tex]\text{Percent change}=\frac{210,565-219,773}{219,773}\times 100[/tex]
[tex]\text{Percent change}=\frac{-9,208}{219,773}\times 100[/tex]
[tex]\text{Percent change}=-0.04189777\times 100[/tex]
[tex]\text{Percent change}=-4.189777\%[/tex]
[tex]\text{Percent change}\approx-4.19\%[/tex]
Therefore, the population changed by 4.19%.
Since the percent change is negative, therefore, the population decreased or shrank over the given period.
[tex]4.19\%=\frac{4.19}{100}=0.0419[/tex]
The product of the roots of 5 - 2m - 3m2 = 0 is:
Answers
Use Vieta's formulas:
[tex]ax^2+bx+c=0\\\\x_1\cdot x_2=\dfrac{c}{a}[/tex]
[tex]x_1;x_2[/tex]-the roots
We have
[tex]5-2m-3m^2=0\to a=-3;\ b=-2;\ c=5[/tex]
put the values of c and a to the expression:
[tex]m_1\cdot m_2=\dfrac{5}{-3}=-\dfrac{5}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
You are planning a restaurant. You will be open only for dinner and expect a steady flow of customers to your 20 tables. Assuming one party per table and an average check of $50 per party, how many times will you have to "turn" each table to make your revenue goal of $3000 per night? ("Turning" a table means seating a new party at it.) a) 1 b) 2 c) 3 d) 4
Answers
so your amount is 1000 dollars each time
To make 3000 dollars divide 3000 by 1000
3000/1000 = 3
You have to "turn" your tables 3 times
hope this helps
Answer:
C) 3
Step-by-step explanation:
I just did this math quiz on KM
What is the solution to the system of equation?
-3x-4y-32= -7
2x-6y+2=3
5x-2y+5z=9
Answers
Answer:
[tex]x=\dfrac{38}{13},y=\dfrac{4}{13}\text{ and }z=-1[/tex]
Step-by-step explanation:
we are given three equation of variable x, y and z.
-3x-4y-3z= -7 ------------- (1)
2x-6y+z=3 ------------- (2)
5x-2y+5z=9 ------------- (3)
Using elimination method to eliminate z from equation (1) and (2)Make the coefficient of z same in both equation.
Multiply equation (2) by 3
-3x - 4y - 3z = -7
6x - 18y + 3z = 9
Add above equation to eliminate z
3x - 22y = 2 ---------------(4)
Using elimination method to eliminate z from equation (2) and (3)Make the coefficient of z same in both equation.
Multiply equation (2) by -5
-10x + 30y - 5z = -15
5x - 2y + 5z = 9
Add above equation to eliminate z
-5x + 28y = -6 ---------------(5)
Using elimination method to eliminate x from equation (4) and (5)Make the coefficient of x same in both equation.
Multiply equation (4) by 5 and equation (5) by 3
15x - 110y = 10
-15x + 84y = -18
Add above equation to eliminate x
-26y = -8
[tex]y=\dfrac{4}{13}[/tex]
Substitute y into equation (5) to get x
So, [tex]-5x+28(\frac{4}{13})=-6[/tex]
[tex]x=\dfrac{38}{13}[/tex]
Substitute x and y into equation (1)
[tex]-3\cdot \frac{38}{13}-4\cdot \frac{4}{13}-3z=-7[/tex]
[tex]z=-1[/tex]
Solution:
[tex]x=\dfrac{38}{13},y=\dfrac{4}{13}\text{ and }z=-1[/tex]
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answers
I got my answer because R is in the middle of -3 and -2 and -2.5 is in the middle of both of the numbers.
Hope I helped :D
The value of point R is -2.5 if point R is halfway between the integers on the number line; the answer is -2.5.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
It is given that:
The number line is shown in the picture.
Let the number is R which is halfway between the integers on the number line.
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
R is between the integers -3 and -2:
R = (-3 + (-2))/2 = -5/2
R = -2.5
Thus, the value of point R is -2.5 if point R is halfway between the integers on the number line; the answer is -2.5.
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Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below.
Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?
Answers
Answer:
A
Step-by-step explanation:
I just took the test
Please explain your answer thanks
Answers
Josh is represented by variable j.
Chau is represented by variable c.
m+j+c= 148
c=4m
j=m+10
Substitute for c and j for the first equation.
m+(m+10)+4m=148
6m+10=148
6m=138
m=23
Plug the known m value in
j=23+10
j=33
c=4(23)
c=92
Final answer: Melissa=23 messages, Josh=33 messages, Chau=92 messages
The largest part of landfills is made up of newspapers. A 30.48 cm stack of newspapers weighs about 15.87 kg. How many meters of newspapers are stacked up?
Answers
30.49cm x 1m/100cm = 0.3049m
The stack of newspapers is 0.3048 meters tall.
The student is asking how to convert the height of a stack of newspapers from centimeters to meters for a proper estimation of its volume in terms of the given weight. Since the question specifies a stack of newspapers that is 30.48 cm high and weighs 15.87 kg, we need to convert the height from centimeters to meters to find out how tall the stack is in meters.
To convert centimeters to meters, we divide the number of centimeters by 100, because there are 100 centimeters in a meter. Therefore:
30.48 cm / 100 = 0.3048 meters
So, the stack of newspapers is 0.3048 meters tall.
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?Enter your answer in the box as a fraction in simplest form.
Answers
Keep Change Flip=
1/2 x 8/5= 0.8
0.8 = 8/10 simpified 4/5
Answer: 4/5
Answer: is 4/5
how i know because i did the quiz hope this helps
How many squares with side length 1/4 inch will fit into 1 square inch?
How many squares with side length 1/4 inch will fit into 1 square inch?
A) 1
B) 16
C) 4
D) 25
Answers
C is the answer.
The number of squares with side length 1/4 inch that would fit into a 1-square inch is 4
A square to a four-sided quadrilateral that has four equal sides. A square has four right angles. The sum of angles in a square add up to 360 degrees.
Area of a square = length²
Perimeter of a square = 4 x length
In order to determine how many squares would fit into the a 1 inch square, divide the length of the square by the 1/4
Number of squares = 1 ÷ 1 / 4
1 x 4 = 4 squares
Please find attached an image of a square. To learn more about a square, please check: brainly.com/question/21565373?referrer=searchResults
Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 4 when x = 6
Answers
The equation for the inverse variation is y = 24/x.
Explanation:In an inverse variation, the equation can be represented as y = k/x, where k is a constant. To find the equation for the given scenario, we can substitute the values of y = 4 and x = 6 into the equation and solve for k.
4 = k/6
Cross-multiplying, we get k = 24. Therefore, the equation for the inverse variation is y = 24/x.
Which ordered pair is the solution to the system of equations?
{y=x-4
{-4x+3y=-3
A.(0, −1)
B.(−9, −13)
C.(−6, −10)
D.(−6, 2)
Answers
-4x + 3(x - 4) = -3
Simplifying the equation,
-x = 9
Dividing both sides by -1 gives an answer of,
x = -9
Then, substitute the value of x in the first equation.
y = -9 - 4
y = -13
The answer to this item is letter B.
Hope this helped...
MARK ME BRAINIEST PLEASE
Answer:
BThe center of the circle is A( -3,3) and B(1,6) is on the circle. Find the area of the circle in terms of pie
Answers
The general equation of a circle with center at (h,k) and radius r is
(x-h)^2 + (y-k)^2 = r^2. Subst. the given info (-3,3) [center] and (1,6) [point on circle], we get
(x+3)^2 + (y-3)^2 = r^2
(1+3)^2 + (6-3)^2 = r^2
16 + 9 = 25 = r^2
The area of this circle is A =pi(r^2). But r^2 = 25. So the area is
A = pi(25), or A = 25pi. Please note: it's "pi," not "pie."
In which sentence is the appositive phrase punctuated correctly?
A.) Raul’s new car the color of a ripe tomato sat in the driveway.
B.) Raul’s new car the color of a ripe tomato, sat in the driveway.
C.) Raul’s new car, the color of a ripe tomato, sat in the driveway.
D.) Raul’s new car, the color of a ripe tomato sat in the driveway.
Answers
The answer is C.
Hope this helped!
The sentence that is an appositive phrase punctuated correctly is "Raul’s new car, the color of a ripe tomato, sat in the driveway." Option C is correct.
Given that,
Four punctuated phrases are given we have to determine which one is appositive.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The sentence given in Options A, B. and D are not appositive.
Sentance Raul’s new car, the color of a ripe tomato, sat in the driveway is an appositive sentence because is differentiate the 3 string with 2 commas.
Thus, the sentence that is an appositive phrase punctuated correctly is "Raul’s new car, the color of a ripe tomato, sat in the driveway." Option C is correct.
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What is the value of 5^4 over 5^6
Answers
------
5^6
625
-----
15,625
625/15625=25
Which is a rational function?
A. y=sqrt x-3
B. y=5
C. y=x^2-3x+5
D. y=x-5/x
Answers
graph and solve the system
Y=-3x+3
Y=2x-7
Answers
2x-7+3x+7=-3x+3+3x+7
5x=10 division by 5
5x/5=10/5
x=2
y=2x-7
y=2.2-7
y=4-7
y=-3
thats means x=2, y= -3
(2,-3)
They are called "linear" because if we draw all the solutions of such an equation, they form a line.
This also means that it is enough to:
1. find to solutions
2. plot them on the coordinate axis
3.join those 2 points
and all the solutions of the equation y=ax+b will be on that line.
Thus, to draw line y=-3x+3
let x=0, then y=3, so one solution is (0, 3)
let y=0, then x=1 so a second solution is (1, 0)
(remark we can pick x or y to be any value, then solve for the other)
to draw the second line y=2x-7
let x=0, then y=-7
let x=3, then y=-1
plot these points and join them as shown in the picture.
The solution of the system is the point where the lines intersect, which is
(2, -3)
A rectangle has an area of 98 square inches. the length of the rectangle is double the width of the rectangle. find the dimensions of the rectangle
Answers
Length: 2x
98=2x(x)
2x^2=98
x^2=98/2
x^2=49
x= sqrt(49)
x= 7 (not -7 because distance cannot be in negatives)
Therefore, the dimensions are 7"x14"
Hope I helped :)
Estimate the product of the expression below to the nearest whole number.
16.77 x 3.81
68
48
64
51
Answers
16.77 rounds to 17
3.81 rounds to 4
17X4 = 68
A trick I use for multiplying by 4 is to double the number twice
Example:
17 -> 34 -> 68
The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false?
The ordered pair (−3,−6) is a solution for the first equation, and it is a solution for the second equation. Therefore, (−3,−6) is a solution to the system of equations. −4x+y=6
5x−y=21
true
or false
Answers
-4(-3) + (-6) = 6
12 + (-6) = 6
12 - 6 = 6
6 = 6
the ordered pair (-3, -6) is a solution to the first equation.
5x - y = 21. (-3, -6)
5(-3) - (-6) = 21
-15 - (-6) = 21
-15 + 6 = 21
-9 = 21
the ordered pair (-3, -6) is not a solution to the second equation.
hope this helped, God bless!
(−3,−6) is not a solution to the system of equations.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Given the system of equations −4x+y=6 and 5x−y=21.
At point (-3, -6), -4(-3) + (-6) = 6
Hence (-3, -6) is the solution to the first equation.
At point (-3, -6), 5(-3) - (-6) = -9 ≠ 6
Hence (-3, -6) is not a solution to the second equation.
Therefore (−3,−6) is not a solution to the system of equations.
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Help with number 6 and 7! Extra points and brainliest!!
Answers
A gives you x^2 +2x - 35
B gives you x^2 +8x - 48
C gives you x^2 - 14x + 49
D gives you x^2 - 2x - 48
so none of these
7 im not so sure sorry
7)