Answers
Answer:
[tex] RC = 40 [/tex]
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
[tex] PC = RC = QC [/tex]
Let's find the value of x using:
[tex] PC = RC [/tex]
[tex] 3x + 7 = 5x - 15 [/tex] (substitution)
Collect like terms
[tex] 3x - 5x = -7 - 15 [/tex]
[tex] -2x = -22 [/tex]
Divide both sides by -2
[tex] x = \frac{-22}{-2} [/tex]
[tex] x = 11 [/tex]
Find the measure of RC
[tex] RC = 5x - 15 [/tex]
substitute x = 11 into the equation
[tex] RC = 5(11) - 15 [/tex]
[tex] RC = 55 - 15 [/tex]
[tex] RC = 40 [/tex]
Answer:
40
Step-by-step explanation:
Related Questions
PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.
Answers
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
PLEASE HELP!!! The sum of 2 consecutive itegers is 294. Write an equation for the integers.
Answers
Answer:
147
Step-by-step explanation:
Divide 294 by 2
t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Answers
Answer: Grape production is maximized for 150 vines planted
Step-by-step explanation:
Graph the line of the slope of 1/4 and includes the point (0,2)
Answers
Answer:
I'm on Edulastic.com taking a 100 Q test and this question is on it!
Step-by-step explanation:
Imao im fgging confused
The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.
Slope point form of equation of line: -An equation of line with slope m and passing through point (p, q) is:
(y - q) = m × (x - p)
We have been given the slope of the line m = 1/4,
and a point (p, q) = (0, 2)
Using the slope-point form equation of line would be,
⇒ (y - 2) = 1/4 × (x - 0)
⇒ (y - 2) = 1/4(x)
⇒ y = x/4 + 2 ...............................(1)
So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].
To plot the line we need at least two coordinate points.
We have been given a point (0, 2).
We need to find another point.
Substitute x = -4 in equation (1),
⇒ y = (-4)/4 + 2
⇒ y = -1 + 2
⇒ y = 1
So, another point on the line would be (-4, 1).
Now, we plot points (0, 2) and (-4, 1) on coordinates plane.
Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.
Learn more about the graph of a line here:
https://brainly.com/question/23680294
#SPJ2
Help? Please? This is algebra math
Answers
Answer:
You count the blocks and then put the amount of blocks before:)
(That sounds confusing but it sounds harder than it is)
The answer would be 3xy + 4x
Step-by-step explanation:
How many xy blocks are there? yea there's 3 so you do 3xy
you can't add xy and x blocks together because xy is a different unit than x (xy is x times y) so then you'd count the other x blocks seperately
(I'm sorry if I'm wrong on this lol)
Urgently need help please
Answers
Answer:
Most likely D
Step-by-step explanation:
common knowledge
Find the value of the unknown
Answers
Answer:
20°
Step-by-step explanation:
Step 1:
4n = 80° Vertical ∠'s
Step 2:
n = 80° ÷ 4 Divide
Answer:
n = 20°
Hope This Helps :)
456x5 is what I can’t figure this out please help!!
Answers
456 times 5
Answer:
2280
Step-by-step explanation:
Multiply 5 times 2325 it ain't that hard g just use google lol
On average, Starla drinks 5/6
of a 12 ounce glass of water in 1/3
of an hour.
How much water does she drink in an hour?
O 10 ounces
12 ounces
20 ounces
30 ounces
Answers
I need help it wouldn’t let me put the song I wanted but whatever
Answers
Answer:
[tex]this \: proberbility \: is \: p(history)[/tex]
89.95 DVD player; 5% discount
Answers
Answer:
The answer is $85.45 after the 5% discount
A fuel company supplies fuel in two different-sized tankers. The first tanker can supply x cubic feet of fuel in one trip and the second tanker can
cubic feet of fuel in one trip. The first tanker makes M trips daily and the second taker makes n trips daily. What does
Mx +Ny represent in expression
Mx +NY,
M+N
total fuel, in cubic feet, supplied by the two tankers in one trip
total fuel, in cubic feet, supplied by the two tankers in one day
o
total fuel, in cubic feet, supplied by the two tankers in one week
total fuel, in cubic feet, supplied by the two tankers in one month
Answers
Answer:
A. Total fuel, in cubic feet, supplied by the two tankers in one trip.
Step-by-step explanation:
First option: A. Total fuel, in cubic feet, supplied by the two tankers in one trip.
A sample of employees of Worldwide Enterprises is to be surveyed about a new health
care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?
(c) Are the events in part (a)(i) complementary or mutually exclusive or both
Answers
Using the probability concept, it is found that:
a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.
b) The events are neither complementary nor mutually exclusive.
A probability is the number of desired outcomes divided by the number of total outcomes.
Item a:
In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.
Of those, 50 + 68 = 118 are either in maintenance or a secretary, hence:[tex]p = \frac{118}{2000} = 0.059[/tex]
There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
Item ii:
2000 - 302 = 1698 people are not in management, hence:
[tex]p = \frac{1698}{2000} = 0.849[/tex]
There is a 0.849 = 84.9% probability that the first person selected is not in management.
Item b:
If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
Following are the solution to the given points:
For point a:
i)
[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]
Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.
[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]
[tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]
ii)
[tex]\to P(D^c) = 1 - P(D)[/tex]
[tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]
For point b:
Please find the attached file.
For point c:
Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.
Learn more:
brainly.com/question/20661176
2k=18. find the value of k
Answers
because 18/2 is 9
Answer:
Step-by-step explanation:
18 divided by 2 would be 9 so k=9
In the given picture, y/x =4 and z/x =3. Find x.
Answers
Answer:
Step-by-step explanation:
x=22.5 degrees
[tex]\frac{y}{x} =4[/tex]
[tex]\frac{z}{x} =3[/tex]
[tex]y = 4x[/tex]
[tex]z=3x[/tex]
[tex]x +3x+4x=180[/tex]
[tex]8x=180[/tex]
[tex]\frac{8x}{8} =\frac{180}{8}[/tex]
[tex]x=22.5[/tex]
What is the value of x in the equation below? 1/3(12x-24)=16
2
6
8
10
Answers
Leo has $28 to spend on pencils and paper for a school. Pencils cost $0.50 each and paper cost $1.50 each. Using x for pencils, and y for paper, write an inequality that represents what Leo can buy.
Answers
Answer:
Please mark Brainliest if helpful...
0.5x+1.5y[tex]\leq[/tex]28
Step-by-step explanation:
X is the number of pencils, so multiply the price of one pencil by the number of them to get the total price of pencils-0.5xY is the number of paper, so multiply the price of one paper by the number of them to get the total price of paper-1.5yLeo has $28, so he can either spend $28 or less on pencil and paper, which means that his total cost should be less than or equal to 28lines of best fit (regression lines) must touch all dada points on a scatter plot
true or false
Answers
Answer:
False
Step-by-step explanation:
A regression line tries to average out all data points, so it may not touch any of them.
write an equation for the line Below
Answers
Answer:
y=-1/2x
Step-by-step explanation:
Answer:
y=-1/2x
Step-by-step explanation:
shown in graph
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
Answers
Answer:
its c. y>1/3x-2
Step-by-step explanation:
Just took the quiz
Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4?
The graph of g(x) is the graph of f(x) translated 4 units down.
The graph of g(x) is the graph of f(x) translated 4 units right.
The graph of g(x) is the graph of f(x) translated 4 units up.
The graph of g(x) is the graph of f(x) translated 4 units left.
Answers
Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Explanation:
Given the function f(x) and g(x) = f(x)-4
This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.
The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.
Hence the correct option is The graph of g(x) is the graph of f(x) translated 4 units down.
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.
Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.
Answers
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($) (y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis : [tex]H_0: \mu =0[/tex]
Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =[tex]\alpha = 0.05[/tex]
[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]
Where m = no. of restrictions
k = No. of independent variables
[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost LaTeX: CC can be represented by this equation: LaTeX: C=12+a\cdot mC = 12 + a ⋅ m , where LaTeX: aa is the additional charge per minute, and LaTeX: mm is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know LaTeX: CC and LaTeX: aa?
Answers
Answer: M=(c-12)-a
Step-by-step explanation:
this is because your trying to find m and 12a doesn't represent that.
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
Olfa student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answers
Answer:
c
Step-by-step explanation:
Students in grades 7 and 8 were asked which food they liked the best. The results are shown in the table. What percentage of all students prefer hotdog
Answers
Answer:
Where's the table?
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
1 0.84 kilograms
2 0.8 kilograms
3 0.85 kilograms
4 1 kilograms
Answers
Answer:
0.85 kilograms
Step-by-step explanation:
The nearest hundredth can be defined as a place value used when rounding up numbers after the decimal.
The nearest hundredth can also mean rounding up to 2 decimal places.
We are asked to round up 0.845 to the nearest hundredth
The nearest hundredth is the second number after the decimal = 4
The third number after the decimal = 5, hence we add 1 to 4 , making it 5.
Hence:
0.845 kilograms to the nearest hundredth = 0.85 kilograms
If you multiply a matrix and its inverse together, you will always get the identity
matrix.
True
False
Answers
Answer:
True
Step-by-step explanation:
If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).
Answer:
Yes
Step-by-step explanation: And 1 is the identity, so called because 1x = x for any number x. It works the same way for matrices. If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I.
Hello Can someone help me please???
What is the factored form of 5x2 – 19x + 12?
A.) (5x – 3)(x – 4)
B.) (5x – 4)(x – 3)
C.) (5x – 12)(x – 1)
D.) (5x – 1)(x – 12)
Answers
Explanation: Multiply using distributive property to get 5x^2-19x+12
Answer:
pretty sure its B
Step-by-step explanation:
hope this helps ;)
The owner of Sandy’s Boat House advertises the cost to rent a canoe is $15 per hour for trips on the Red Cedar River. He is also willing to adjust the $15 per hour if a customer rents for only a part of an hour.
The manager suggests another deal for customers. She uses the equation cmanager = 0.15t + 2.50 to find the charge c in dollars for renting a canoe for t minutes.
Which option would you choose, the manager’s equation or the owner’s cost of $15 per hour? Explain.
Answers
Answer:
1 dollar
Step-by-step explanation:
If he charges 15 dollars an hour for a canoe, that means that if she rents for 0.15 hours she pays 1 dollar. Hope this helps :)
FIRST RIGHT GETS BRAINLIEST