Answers
Explanation:
Angles on equivalent sides of parallel lines created by a traversal are equal.
The traversal PQ creates equal angles at P and Q on equivalent sides of line segments PQ and QT.
Related Questions
the equation y= -5.131x^2 +31.821x -3.333 approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.
What is the best estimate for the number of people in line at 8 a.m?
A. 77
B. 46
C. 40
D. 32
Answers
Answer:
The answer is 42!!! I just took test.
Step-by-step explanation:
How to find out how likely it is to get 13% chance at something 13 times?
Answers
What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?
Drag the steps and drop them in order from start to finish.
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Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
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Construct a circle with its center at point H.
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Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ .
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Construct horizontal line l and point H on line l.
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Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
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Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.
Answers
1. Construct a circle with its center at point H.
2. Construct horizontal line l and point H on line l
3. Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.
4. Construct a circle with its center at point J and having radius HJ . Construct a circle with its center at point K having radius HJ
5. Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.
6. Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .
Realize income is ____.
A .The amount of income on hand
B.Income already spent
C. Income that comes from future investment
D. The amount of income you anticipate having
Answers
Realized income refers to the amount of income you expect to have, not yet received, including anticipated earnings and future investments.
Realized income represents the income an individual or entity expects to receive but has not yet received. It encompasses anticipated earnings, future investments, and any other income sources that have not yet materialized.
This includes income from salaries, investments, rental properties, or any other sources.
Unlike earned income, which refers to income already received, realized income is a forward-looking concept, reflecting the anticipated financial gains.
It plays a crucial role in financial planning and budgeting, guiding individuals and organizations in making decisions about expenditures, savings, and investment strategies based on expected future income streams.
Rounded to the nearest 3 decimal places, what is the value of r for this data set?
Answers
Answer: 0.989
Side Note: The fact that r is very close to +1 means the data set has strong positive linear correlation. The points all fall very close to a line with positive slope.
a golfer needs to hit a ball a distance of 500 feet, but there is a 60-foot tall tree that is 100 feet in front of the point where the shot needs to land. given that the maximum height of the shot is 120 feet, and that the intended distance of 500 feet is reached, by how much did the ball clear the tree?
Answers
We can create a parabola equation of the trajectory using the vertex form:
y = a (x – h)^2 + k
The center is at h and k, where h and k are the points at the maximum height so:
h = 250
k = 120
Therefore:
y = a (x – 250)^2 + 120
At the initial point, x = 0, y = 0, so we can solve for a:
0 = a (0 – 250)^2 + 120
0 = a (62,500) + 120
a = -0.00192
So the whole equation is:
y = -0.00192 (x – 250)^2 + 120
So find for y when the golf ball is above the tree, x = 400:
y = -0.00192 (400 - 250)^2 + 120
y = 76.8 ft
So the ball cleared the tree by:
76.8 ft – 60 ft = 16.8 ft
Answer:
16.8 ft
MATH HELP
WILL AWARD BRAINILEST
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. After each cut, the remaining area is % of the previous area.
I think its 25% but idk
Answers
Hope this Helps!
Edit: Since I misread the question, I want to reframe my previous explanation instead in terms of what percent of the area of the previous point is left.
Looking again at the areas plotted, what percent of 100 sq. cm is 80 sq. cm? We want to translate the question into math, and our first indicator of where to start is the phrase "what percent of 100 sq. cm." When we talk about taking a fraction or percent of another quantity, we're usually referring to multiplying that fraction by that quantity. In this case, we have our unknown percent, [tex] \frac{x}{100}[/tex], multiplied by 100, which, of course, just leaves you with x. And we're told that this quantity is equal to 80, so we have our answer. x = 80, so we're going to be taking 80% of the area each step.
Please help with all 3 questions thank you.
Answers
question 2. is There is not enough information to prove that the triangles are congruent. The ongruence statement can you write about the triangles in the previous problem is △JFE≅△SFV
question 3. i think itd be D
Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the future?
Answers
Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set
I NEED HELP NOW!!!!
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
x – y = 34
x + y = 212
Solve the system of equations.
How many foreign stamps does Malik have?
____foreign stamps
How many domestic stamps does Malik have?
____domestic stamps
Answers
So we have two equations
x - y = 34
x + y =212
Let's take the first equation and put it in terms of x
x-y+y= 34+y
x= 34 + y
Now that we have a value for x, substitute it into the second equation for x and solve for y.
(34+y)+y=212
34+y+y = 212
34+2y= 212
34-34+ 2y=212-34
2y= 178
2y/2=178/2
y= 89
Now that we know the value for y, we can substitute it into the first equation and solve for x.
x-89=34
X-89+89=34+89
X=123
Y= 89
X =123
ANSWER
Domestic Stamps: 123
Foreign Stamps: 89
After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.
Let x represent the number of domestic stamps.Let y represent the number of foreign stamps.Given the following system of equations:
[tex]x - y = 34\\\\x + y = 212[/tex]
To solve the system of linear equations, we would use the elimination method:
Adding the two equations together, we have:
[tex]2x = 246[/tex]
Dividing both sides by 2, we have:
[tex]x = \frac{246}{2}[/tex]
x = 123 domestic stamps
To find the value of y:
[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]
y = 89 foreign stamps
Read more: https://brainly.com/question/3600420
How many pairs of triangles appear congruent? The triangles may overlap
Answers
Answer:
4. If i know the picture you're talking about it would be 4.
Step-by-step explanation:
Solve the system by elimination.
-2x + 2y + 3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
Please go step by step, thanks!
Answers
equation 2 plus equation 3, you will get: 2y+4z=2
Now focus on these two new equation you've just got; Let's eliminate y next. To eliminate y, we first have to make the coefficient the same.
multiple 5y+6z=5 by 2 and multiple 2y+4z=2 by 5, we'll get:
10y+12z=10
10y+20z=10
subtract the second of these two equations from the first, you'll get: -8z=0, therefore z=o
Plug z=0 into either one of these two equations, you'll get y=1
plug z=0, y=1 into any of the original three equations, you will get x=1
a function is represented by the set of ordered pairs shown below.
{(-4,3), (-1,3), (0,3), (1,5), (3,7)}
what is the range of this function
Answers
---------------------------------------
---------------------------------------
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input. The output values are y = 3, y = 3, y = 3, y = 5, y = 7. So we simply list these outputs without the "y=" portion. Toss out any duplicates. Only write the unique output values.
The curly braces surrounding the list of values tells us that we have a set.
Final answer:
The range of the given function is {3, 5, 7}.
Explanation:
The range of a function refers to the set of all possible output values (y-values) it can produce. Given the function represented by the set of ordered pairs {(-4,3), (-1,3), (0,3), (1,5), (3,7)}, to determine its range, we look at the second elements in each ordered pair since they correspond to the y-values produced by the function.
The y-values in the given set are 3, 3, 3, 5, and 7. Even though the value 3 is repeated, it is only counted once in the range. Thus, the range of this function is the set {3, 5, 7}.
Remember, the range includes all unique y-values that the function outputs. This set contains the different y-values that the function produces according to the given ordered pairs, which means these are the possible values that we can get as outputs from this function.
If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years
Answers
Answer:
If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.
35.36
atoms
How to solve x^2+bx+c=0 when b and c are negative by factoring?
Answers
The "x² + bx + c = 0" ; is treated as:
"x² + (-b)x + (-c) = 0 " ;
or, put simply:
___________________________________
" x² − bx − c = 0 ;
in which: b = - (insert number);
and "c" = - (insert number);
___________________________________
Then, the expression on the "left-hand side" of the equation is "factored"; and set equal to "0" .
___________________________________
Note of interest: This is done even if "factoring" cannot be done; and/or if one wishes to proceed using the "quadratic equation formula" to solve for "x".
___________________________________
Hope this helps!
How would I graph and solve this inequality?? Help please! Press question to view image.
Answers
negative 3 times a number = less than negative 12. so, the higher the number, but negative, is less than. (example:-52<-3) so, |x| is x=4>y
sorry if unclear...
[tex]\bf |x|-3\le 4\implies |x|\le 7\implies \boxed{-7\le x\le 7} \\\\\\ -3|x|\ \textless \ -12\implies |x|\ \textgreater \ \cfrac{-12}{-3}\implies |x|\ \textgreater \ 4\implies \boxed{4\ \textless \ x\ \textless \ -4}[/tex]
In March, Rodney sold twice as many cars as Greg. In April Rodney sold 5 fewer cars than he did in March while Greg sold 3 more cars than he did in March. If they same number of cars in April how many cars did each sell in March
Answers
Final answer:
Rodney sold 16 cars and Greg sold 8 cars in March.
Explanation:
Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.
Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.
In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.
Greg sold 3 more cars than he did in March, so we have the equation G + 3.
Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.
Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.
Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.
Rodney: 16 cars
Greg: 8 cars
jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week additional 2 gallons running errands. how many gallons of gas does john juse for work and errands
Answers
12 * (2 / 3)
= 8 ----- he uses 8 gallons to and from work
+ 2 additinal for errands
therefore gallons for work + gallons for errand = *8 + 2
= 10
your answer is 10
Find to slope of the line passing through the points 0,4 -8,-1
A,-8/5
B,-5/8
C, 5/8
D, 8/5
Answers
First, find the slope.
m=(y₂-y₁)/(x₂-x₁)
m=(-1-4)/(-8-0)
m=(-5)/(-8)
m=5/8 <--- this is positive because a negative divided by a negative is positive)
The correct solution is B.
Hope I helped :)
Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario? g(x) = 0.4x + 35.5 g(x) = 0.4x + 67 g(x) = 2.5x + 25 g(x) = 2.5x + 50
Answers
g(x) = 2.5x + 25
5 newspapers, 2.5(5) + 25 = 12.5 + 25 = 37.5
20 newspapers, 2.5(20) + 25 = 50 + 25 = 75
The linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered.
x = the number of newspapers Pedro delivers
y = the earnings he receives in dollars.
From the data given the linear function can be framed as follows:
y = mx + b
Plug x = 5
y = 37.50
37.50 = 5m + b ...(I)
Plug x = 20, and y = 75
75 = 20m + b ...(II)
After solving equation (I) and equation (II):
m = 2.5
b = 25
y = 2.5x + 25
Replace y with g(x)
g(x) = 2.5x + 25
Thus, the linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
What is the factored form of the expression? 4x2 – 81y2
Answers
4x^2-81y^2
(2x)^2-(9y)^2
(2x-9y)(2x+9y).
Please help!!
Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.
Answers
Final answer:
The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.
Explanation:
To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is
(x - h)² = -4p(y - k)
where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.
Substituting the values for the vertex and p, we get
(x - 0)² = -4(3)(y - 0)
which simplifies to
x² = -12y
This is the standard form of the parabola with the given focus and directrix.
Barry walked a total of 3 miles to larry's house. if he walked for 45 minutes to get there, how fast was he traveling (r) in miles per hour?
Answers
We'll simply substitute the known values in and solve for r.
3 = 0.75r (The reason I am substituting 0.75 for t instead of 45 is that the problem is asking for how fast he travels in terms of miles per HOUR, not hours per minute. 45 minutes is 0.75 of 1 hour.)
4 = r
Barry walked at an average speed of 4 miles per hour!
The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?
h=2x+9
l= x+2
w= 3x
A) 2x^2+13x+18
B) 6x^3+27x^2+54x
C) 6x^3+39x^2+54x
D) 18x^4+117x^3+162x^2
Answers
Solution: As given, Volume of a rectangular prism is given by the formula V = l w h, where l is the length of the prism, w is the width, and h is the height.
also , h=2x+9
l= x+2
w= 3 x
So, volume of prism= (2 x+9)(x+2)(3 x)= (3 x)(2 x+9)(x+2)→Using associative property
=3 x[2 x(x+2)+9(x+2)]→Using (x+a)(x+b)= x(x+a)+a(x+b)=x²+(a+b)x+ab
= 3 x [ 2 x²+ 4 x+ 9 x+18]
= 3 x[ 2 x² +13 x+18]
= (3 x)(2 x²) + (3 x)×(13 x) + (3 x)×(18)→ Using distributive property
= 6 x³+ 39 x² + 54 x → [ use [tex]x^{m} \times x^{n}= x^{m+n}[/tex]
Option (C) is correct.
The expression which represents the volume of the rectangular prism is; Choice C: 6x³+39x²+54x
Volume of a rectangular prismThe volume of the rectangular prism as given is;
V = lwhwhere, h=2x+9, l= x+2, and w= 3x
Therefore, Volume;
V = (2x+9) (x+2)(3x)V = (2x² +13x +18)(3x)V = 6x³+39x²+54xRead more on volume of rectangular prism;
https://brainly.com/question/3867601
Charles has read 180 pages of book. This isn’t 3/4 of the total number of pages in the book. If p represents the number of pages in the book, what is p?
a.135
b.240
c.320
d. 420
Answers
3p = 720
p= 720÷3 = 240
p= 240
A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a limo ride. Which caller will be first one to win both?
Answers
common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60
the caller that will be the first to win both is the 60th caller
Answer: Every 60th caller would win both.
Step-by-step explanation:
Since we have given that
every 12th caller receives a free concert ticket.
And
every 15th caller receives a limo ride.
We need to find the first caller who would win.
So, for this we would find L.C.M. of 12 and 15.
And we know the least common multiple of 12 and 15 is 60.
Hence , every 60 th caller would win both.
If you buy an IPod for $339, how much sales tax would you pay if the tax rate is 8.375%?
Answers
an online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?
Answers
4.25x=36+3.5x
4.25x-3.5=36
0.75x=36
x=36/0.75
x=48
x is the number of movies for the cost of the plan to be the same.
There are thirteen animals in a barn. Some are chickens and some are pigs there are 40 legs in all. How many of each animal are there
Answers
p + c = 13
Now to count the legs - we know that pigs have 4 legs and chickens have 2 so our next equation will be:
2c + 4p = 40
Using the first equation we see that c = 13 - p Now we insert this into the second equation and solve:
2x(13-p) +4 pm = 40
26 - 2p + 4p = 40
2p = 14
p = 7 (there are 7 pigs so now we know there are 6 chickens.
Answer: 7 pigs and 6 chickens
I hope this helps.
Take care,
Diana
How many square feet of carpeting are needed to carpet a 12-foot by 12-foot room
Answers
Area of a rectangle = length × width
Length = 12 ft
Width = 12 ft
A = l×w
= 12 ft × 12 ft
= 144 sq. ft
Thus, you would need 144 square feet of carpeting.