In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?
Answers
Answer:
PA = 20 units
NL = 20 units
Step-by-step explanation:
Property of a rectangle,
"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"
By using this property,
PT = TL
(x + 3) = (3x - 11)
3x - x = 11 + 3
2x = 14
x = 7
Length of PT = (x + 3) = 10
Length pf PA = 2(PT) = 20 units
Length of NL = PA = 20 units
Related Questions
In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer: look up alaskan pipeline
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answers
Answer:
y=6-5
Step-by-step explanationy
I got the answer wrong on the test, although, I am confused if my teacher made a mistake or am I actually incorrect. Can you help me please
Answers
Answer:
I am so sorry to say that you are the one who made the miatake. Better luck next time!
Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?
Answers
Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Lucy has a budget for school stationery of 33, but has already spent 22.47 on books and folders. Let p represent the amount that Lucy can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.
Answers
Answer:
The inequality is;
p≤ 10.53
where 10.53 is the highest value she can spend on other stationery
Step-by-step explanation:
Here, we want to write an inequality
The amount she has to spend is 33
This means she can spend less than or equal to this amount
she has spent 22.47 and still has p to spend
Mathematically;
p + 22.47 ≤ 33
p ≤ 33-22.47
p ≤ 10.53
what is 29503.488rounded two decimal places
Answers
Answer:29503.49
Step-by-step explanation:
Answer:
29503.49
Step-by-step explanation:
since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9
given the quadratic equation f(x) = -0.5x squared what is the value of f(35)
Answers
Answer:
e
Step-by-step explanation:
e
What is the solution set for the open sentence, using the given replacement set ?
5x−7=8; {1, 2, 3, 4}?
x = 1
x = 2
x = 3
x = 4
Answers
Answer:
x = 3
Step-by-step explanation:
first move 7 into RHS in addition
then move t into RHS in division
The largest cookie ever baked measured a radius if 51 feet. Witch of these is the closest to the area of the cookie
Answers
Answer:
8171.28
Step-by-step explanation:
Area of a circle formula-
A= (pi)(radius^2)
pi= 3.14
to answer THIS question
(3.14) * (51)^2
(3.14) * (2601)
= 8171.28
If I have a 90 in math, and I have a final exam worth 20% of my grade, what’s the lowest I can get?
Answers
Answer:
a 40, aka a failing grade ( do ur test :) )
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
y=-3x-11
Step-by-step explanation:
..
graph the function in the image
Answers
Answer:
The slope is 1.
Step-by-step explanation:
Any time you see x by itself, imagine there is a one behind it.
Darla sees a duck and a fish at a pond. The duck is 2 1/2 feet above the surface of the pond. The fish is 1 3/8 feet below the surface of the pond. What is the distance, in feet, between the duck and the fish? 1 1/3 1 1/8 3 7/8 3 4/10
Answers
Answer: 3 7/8 feet
Step-by-step explanation:
From the question, we are informed that Darla sees a duck and a fish at a pond and that the duck is 2 1/2 feet above the surface of the pond while the fish is 1 3/8 feet below the surface of the pond.
The distance, in feet, between the duck and the fish will be calculated as:
= 2 1/2 - (-1 3/8)
= 2 1/2 + 1 3/8
= 2 4/8 + 1 3/8
= 3 7/8 feet
The distance, in feet, between the duck and the fish is 3 7/8 feet
What is the square root of 30 in simplified form?
square root of 5
square root of 3
it can't be simplified.
square root of 3
Answers
Answer:
5???
Step-by-step explanation:
The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?
Answers
Answer: The answer is a decimal.
Step-by-step explanation:
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
Answers
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
Kaylee has $0.90 worth of nickels and dimes. She has a total of 14 nickels and dimes altogether. By following the steps below, determine the number of nickels, x,x, and the number of dimes, y,y, that Kaylee has. You need 3 different solutions.
Answers
Answer:
kaylee has 4 dimes and 10 nickles.
Mutiply 4 by ten that equals 40 then multiply 10 by 5 and get 50
2. in second soution
Nickels are worth 0.05 and dimes are worth 0.10 so if nickes + dimes = 10 and 0.05 *nickles 0.10*dimes = $0.90, then there are 2 nickels and 8 dimes.
Step-by-step explanation:
Pretty simple 1/3(9−6m)+1/4(12m−8)= what?
Answers
Answer: =m+1
Step-by-step explanation:
hope this helped
Answer:
= m + 1
Step-by-step explanation:
3 - 2m + 3m - 2
m + 1
Write an equation of the line passing through point (7,3) that is parallel to line 4x-7y=9
Answers
Answer:
y= 4/7x -1
Step-by-step explanation:
solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1
6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales person B is offering her services for $15 per hour. How many hours will two sales people charge the same amount of money?
Answers
Answer:
5 hours (when salespersons A and B will both charge $75)
If this pattern continues how many squares will be in the 10th figure?
Answers
Answer:
E. 32
Step-by-step explanation:
You add 3 squares for every figure, so 3×10 = 30 + 2
Kennedy had the expression 3(2x-3x+8). She simplified and rewrote the
expression 3(8+x). If any, what was her error?
Answers
Answer:
Kennedy did not distribute the 3 to the numbers in the parentheses.
Step-by-step explanation:
The simplified expression should be -3x+24.
PLEASE HURRY!!
Mildred classifies the following system of equations.
y = 4x + 3
y = 6x + 1
Select Correct or Not correct for each statement.
Statements:
The system is consistent because the slopes and the y-intercepts are different.
The system is independent because the slopes and the y-intercepts are different.
Answers
The first statement is correct and the second statement is not correct as it is derived from the first statement,
We are given two equations;
y = 4x + 3
y = 6x + 1
From the equation of line in slope intercept form, the formula is;
y = mx + c
where;
m is slope
c is y intercept.
Thus, in the 2 equations given, we can see that the slopes and y-intercepts are differentNow, when two equations have different slopes and different slopes, the system is said to have only one solution and can be said to be consistent.Now, a system is only said to be independent if it is consistent and has exactly one solution.This means independency of an equation depends on if it is consistent and has exactly one solution.
Thus, in conclusion, the first statement is correct and the second one is not correct as it is derived from the first statement,
Read more at; https://brainly.com/question/19282045
Answer:
first correct second wrong
Step-by-step explanation:
y - 15 =-27
One step equation
Answers
Y = -27 + 15
Y = -12
Answer:
Y=−12
I believe
PLEASE HELP GIVING BRAINLY
Answers
Answer:
D.) 2:40
Step-by-step explanation:
36/9 = 4constant rate
From 10 am to 1 pm is 4 hours so 4*4 = 16 gal
16+9 = 25 gal
25 + 4+4= 33 gal
we only need 3 more gallons so it would be 2:40.
HOPE THIS HELPED :)
Find the slope of the line that passes through (5,2) and (9,6).
Answers
(6-2)/(9-5) = 4/4 = 1
The slope is 1
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
Please help!!!! With 8 and 9
Answers
Answer:
8. slope: = 1/2
9. equation: y=1/2x
You ride the subway 45 times per month. Find your monthly cost without purchasing a monthly pass. Then determine whether you should buy the monthly pass.
Answers
Answer:
WE DONT KNOW
Step-by-step explanation:
How much does a ticket cost? How much does the pass cost???
tell us and we help
Answer: cost without monthly pass- $56.25
And you should buy the monthly pass
Step-by-step explanation:
IN question a it say $1.25 for every student so u just 45 times 1.25 and end up with 56.25...
Please help, thank you if you do
Answers
Answer:
symbolab
Step-by-step explanation:
Answer:
The slope is m=3/5 aka D.
Step-by-step explanation:
Write the equation for the line can somebody help me and show me how to do it
Answers
(NOTE: many questions may ask you to put the equation in a certain format. This answer is assuming you can put it in slope-intercept form.)
Answer:
y= -3x-3
Step-by-step explanation:
1) A handy way to write an equation from a graph is to use the slope-intercept form: y = mx + b. In this format, the "m" represents the slope - or the measure of the steepness of the graph (we'll get more into this in the next step). The "b" represent the y-intercept, or where the point in which the graph hits the y-axis. If you know what the slope and y-intercept is, it is very easy to create an equation!
2) So let's find the slope first. The slope of an equation is represented by [tex]\frac{rise}{run}[/tex] , or the change in the y from each point, going up or down, divided by the change of x, going from left to right. So, knowing this, we can take two points we see the line hit and count the change from the x and y values.
Let's take the points (-1,0) and (0,-3). To find the rise, or the change in y, start from (-1,0) and count how many units it would take vertically to get to (0,-3). If you went down, then be sure to add a negative to the number of units you counted. To find the run, or change in x, do the same and count how many steps it would take horizontally to get to (0,-3) too. If you went left, then be sure to add a negative to the number of units you counted. So, if you did it correctly, you would get -3 as your rise and 1 as your run. Using the [tex]\frac{rise}{run}[/tex] equation, divide -3 by 1 and your slope is -3.3) Now, let's find the y-intercept. This part is much easier: just look at the graph and find the point where the line hits the y-axis. In this case, it's (0,-3).
4) All you have to do now is plug the slope and y-intercept we found into y = mx + b. So, put the slope in the "m" place and remember to put the y-value of the y-intercept into the "b" place.
This should get you y= -3x - 3 as your answer!