Answers
Answer:
[tex] QR = 23 [/tex]
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
[tex] PQ = 4x - 1 [/tex]
[tex] QR = 3x - 1 [/tex]
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
[tex] PQ + QR = PR [/tex]
[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)
Solve for x
[tex] 4x - 1 + 3x - 1 = 54 [/tex]
Combine like terms
[tex] 4x + 3x - 1 - 1 = 54 [/tex]
[tex] 7x - 2 = 54 [/tex]
Add 2 to both sides
[tex] 7x - 2 + 2 = 54 + 2 [/tex]
[tex] 7x = 56 [/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{56}{7} [/tex]
[tex] x = 8 [/tex]
[tex] QR = 3x - 1 [/tex]
Plug in the value of x into the equation
[tex] QR = 3(8) - 1 = 24 - 1 [/tex]
[tex] QR = 23 [/tex]
Related Questions
33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)
Answers
Answer:
10.1m
Step-by-step explanation:
1ft = 0.305m
33ft = 33 x 0.305m = 10.065m ≈ 10.1m
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AN(BNC) =
(1, 3, 5, 6, 7, 9)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
OO
Answers
The intersection A n(B n C) is an empty set: {∅}
How to get the intersection between the 3 sets?
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
If you want to learn more about sets:
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Simplify. 24/36 divided by 9/27
Answers
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Answers
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
Suppose you travel 300 miles on a highway for 6 hours.At what rate did you travel?use the distance formula d=rt and solve for r.
Answers
Answer:
50 mph
Step-by-step explanation:
Andy was buying
$5 hats and $3
gloves for every
person on his
Christmas list. He
also bought one roll
of wrapping paper
for $2. Let x
represent the
number of people
on his Christmas
list.
Answers
Answer:
5x+3x+2= total
x is total number of people times cost
Answer:
5x+3x+2=total
8x+2=total
Step-by-step explanation:
you add the 5x and 3x and get 8x plus the 1 roll which cost 2 and you have total money spent
Determine the largest integer value of x in the solution of the following inequality. -5X - 9 > 13
Answers
Answer:
X<-4.5
Step-by-step explanation:
firstly group like terms ,You divide both side by -5 and the answer was -4.5
The matrix below represents the solution to a system of equations.
Which of the following describes the solution?
Answers
Answer: C
Step-by-step explanation:
what 6.8 into 3 by 4. urgent
Answers
Step-by-step explanation:
5.1 .......... write it fast..........
An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven
Answers
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
Which coordinate pair represents the reflection of (-4,6)
Answers
Hope this helped! :))
It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?
Answers
Answer:
0.04 dollars per text
Step-by-step explanation:
5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer
answer is 0.04 in text
At the beginning pf the week , naveen had 87 trading cards. On monday he gets 9 more on tuesday he foves 16 away on wensday he us given 3 by a friend on thrusday he sells all of his cards to a collecter the coolecter pays him arate of c for every card that naveen has. If naveen earns 124.50 from the sale what is c the rate that the collecter pays for each card
Answers
124.50/83= 1.50 per card
What is -20.3-14.34?
Answers
Answer:
-34.64
Step-by-step explanation:
-20.3-14.34
-34.64
4/9(3/8x-27/16)=13/4
Answers
Answer:
x=24
Step-by-step explanation:
The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.
Answers
Answer:
It has a constant slope.
Step-by-step explanation:
A linear function graphs as a straight line. It will have a constant rate of change.
It has a constant slope.
Answer:
D. It has a constant slope on Edg2020
Step-by-step explanation:
Hope this helps!!! Have a great day!!!
Graph the line with slope 8 and y-intercept −8.
Answers
To create the slope 8, you would have to do the rise over run:8/1. which means u go up 8 units and to the side one unit and you keep doing that. And since the y-intercept is -8, then you start your first point at -8 and continue to go up.
The graph is attached below:
What is graph?Graphing basic functions like linear functions and quadratic functions is easy. The basic idea of graphing functions is
Identifying the shape if possible. For example, if it is a linear function of the form f(x) = ax + b, then its graph would be a line; if it is a quadratic function of the form f(x) = ax2 + bx + c, then its a parabola.
finding some points on it, by substituting some random values of x and finding the corresponding values of y by substituting each value into the function.
For graphing quadratic function also, we can find some random points on it. But this may not give a perfect U-shaped curve. This is because, to get a perfect U-shaped curve, we need where the curve is turning. i.e., we have to find its vertex. After finding the vertex, we can find two or three random points on each side of the vertex and they would help in graphing the function.
Given:
slope= 8
y- intercept = -8
So, the equation can be
y= mx+ c
y= 8x - 8
Learn more about graph here:
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What is the solution of the following quadratic inequality?
XA – 18x²=-64
0 (-3.623, -2.208) U (2.208, 3.623)
[-3.623, -2.208] U [2.208, 3.623]
0 (-00, -3.623) U (-2.208, 2.208) U (3.623, co)
(-00, -3.623] U-2.208, 2.208] U [3.623, có)
o
Answers
Answer:
Answer D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddd
which ordered pair is not a solution to this system?
x+y > 3
x + 2y > 5
Answers
Answer:2,2
Step-by-step explanation:
I guess
Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)
Answers
The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
5 (-3.5) + 4 3/4 - 3.25 divided by -4
Answers
Answer:
4
Step-by-step explanation:
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
Answers
The following quadratic equations can be solved by extracting square roots x²=36
Answers
Answer:
x= 6
Step-by-step explanation:
you can do 6 squared, which is also equal to 6 x 6
3x+4=17x-10 what is x
Answers
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]3x+4=17x-10[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=17x-10-4[/tex]
[tex]3x=17x-14[/tex]
Subtract 17x from both sides:
[tex]3x-17x=17x-14-17x[/tex]
[tex]-14x=-14[/tex]
Divide both sides by -14:
[tex]\frac{-14x}{-14}=\frac{-14}{-14}[/tex]
[tex]x=1[/tex]
Answer:
1
Step-by-step explanation:
Step 1:
3x + 4 = 17x - 10
Step 2:
4 = 14x + 10
Step 3:
14 = 14x
Answer:
x = 1
Hope This Helps :)
Solve the equation x-3=23
X=
Answers
Answer:
26
Step-by-step explanation:
26 - 3 = 23
hope this helps
Answer:
x = 26
Step-by-step explanation:
x-3=23
Add 3 to each side
x-3+3=23+3
x = 26
A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70
Answers
Answer:
The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...
Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.
Answers
Answer:
[tex]P(C\ and\ D) = 153\%[/tex]
Step-by-step explanation:
Given
[tex]P(C) = 98\%[/tex]
[tex]P(D) = 88\%[/tex]
[tex]P(C\ or\ D) = 33\%.[/tex]
Required
[tex]P(C\ and\ D)[/tex]
In probability, the relationship between the given parameters and the required parameter is:
[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]
Substitute values in the above formula
[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]
[tex]P(C\ and\ D) = 153\%[/tex]
No, it can't be a probability
Because [tex]P(C\ and\ D) > 100\%[/tex]
its a image, i attached here.
Answers
Answer:
Step-by-step explanation:
First expression
54+11 =65
second expression
7x+13x= 20x
Third expression
(7x+54)+(13x+11)
7x+54+13x+11
(7x+13x)+(54+11)
20x+65
Fourth expression
In your own opinion, how does the problem in the middle relate to the problems on the side?
from the above first two expression
first value of each expression was combined to make 7x+54
second value of each expression was combined to make 13x+11
What is a requirement of adjacent angles?
Answers
Answer:
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
By how much does the outlier in the following data set increase the range of the data set?
{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}
Answers
To find the range, subtract the smallest from the biggest number.
The outlier is most commonly the biggest or smallest number. Obviously it is 236 in this situation.
To find how much the outlier increases the range, you need to find out the range WITH and WITHOUT the outlier.
Without the outlier: 39
With the outlier: 190
Then you subtract 190 - 39 because you are trying to find out how much MORE RANGE the outlier makes.
The answer is 151.
THEREFORE, The outlier increases the range by 151.