Name:
Chapter 5 Section 1
More Practice Finding the Coordinates of the point of Concurrency
1. The vertices of AABC are A(1,6), B(5,4), C(5,-2). Find the coordinates of the circumcenter.
a) Graph and label the triangle
b) Find the midpoint of each side of the triangle
Midpoint AB = 5, 1)
Midpointbc =
し32)
Midpointac = [1, 2]
c) Find the slope of each side of the triangle
MAB =
MBC =
MAC =
d) Find the slope of each perpendicular bisector
IMAB =
IMBc =
IMAC =
e) Use the midpoint and the perpendicular slope to accurately draw each perpendicu
bisector on the triangle.
Answers
Answer:
see the attachments for the graph, and a spreadsheet with midpoints and slopes
Step-by-step explanation:
We are given the coordinates of the vertices of a triangle, and asked to find the parameters of the perpendicular bisectors of the sides of the triangle. The perpendicular bisectors are to be plotted on the graph.
Given:Coordinates A(1, 6), B(5, 4), C(5, -2)
__
Find:a) Graph and label the triangle
b) Find the midpoint of each side of the triangle
c) Find the slope of each side of the triangle
d) Find the slope of each perpendicular bisector
e) Use the midpoint and the perpendicular slope to accurately draw each perpendicular bisector on the triangle
__
Solution:a)See the attached graph for shaded triangle ABC.
__
b)The midpoint (M) of a segment AB will be ...
M = (A+B)/2
For example, the midpoint of segment AB is ...
D = ((1, 6) +(5, 4))/2 = (1+5, 6+4)/2 = (6, 10)/2 = (3, 5)
This repetitive arithmetic is carried out in the spreadsheet shown in the second attachment. The midpoints are ...
D(3, 5) is midpoint of AB
E(5, 1) is midpoint of BC
F(3, 2) is midpoint of CA
__
c)The slope of a segment is found using the slope formula (or by counting grid squares). That formula is ...
m = (y2 -y1)/(x2 -x1)
For segment AB, this is ...
mAB = (4 -6)/(5 -1) = -2/4 = -1/2
The other slopes are calculated similarly in the spreadsheet. When the denominator is zero (a vertical line), the slope is "undefined."
mBC = undefined
mCA = -2
__
d)The slope of the perpendicular line is the opposite reciprocal of the slope of the segment.
m⟂AB = -1/(-1/2) = 2
m⟂BC = 0 . . . . . a horizontal line has 0 slope
m⟂CA = -1/-2 = 1/2
__
e)The perpendicular bisectors of each of the sides of the triangle are shown in the first attachment. As the lesson title indicates, their point of concurrency is G(1, 1), the circumcenter of the triangle.
Related Questions
If sales tax is 6 percent, how much sales tax must you pay on an oven that costs $362?
Answers
Answer:
Sales tax is 6%
The cost of the oven is $362
Sales tax for the oven will be 6% of $362
=6/100 x $362
=0.06 x $362
=$21.72
Step-by-step explanation:
How nice are your teacher 1-20 and what grade was your favorite
Answers
Answer:
Modify short_names by deleting the first element and changing the last element to Joe.
Sample output with input: 'Gertrude Sam Ann Joseph'
['Sam', 'Ann', 'Joe']
Answer:
my science teacher is 20 my civics teacher is 18 my math teacher is 100
Step-by-step explanation:
Fav grade? first. just color in the boxes and you get a 100 lolll
How many triangles can be constructed with two angles measuring 80 and 100°?
Answers
Answer:
0
Step-by-step explanation:
because a triangle has three angles that equal two 180 degrees
Can someone help me out
Answers
Answer:
All except the 3rd
Step-by-step explanation:
evaluate the equation 4w = -64
A. w = -256
B. w = -16
C. w = 16
D. w = 256
Answers
Answer:
[tex]\huge\boxed{\sf{w=-16}}[/tex]
Step-by-step explanation:
Hello.
In order to solve this equation, we need to divide both sides by 4:
4w=-64
w=-16
I hope it helps.
Have a great day. :)
[tex]\boxed{imperturbability}[/tex]
Answer:
The choice B. w = -16
Step-by-step explanation:
[tex]4w = - 64 \\ \\ w = - \frac{64}{4} \\ \\ w = - \frac{64 \div 4}{4 \div 4} \\ \\ w = - 16[/tex]
Help me urgent please
Answers
Here ,300 people present in library are asked to choose their favourite book and we have to tell how many choosed mystery as their favourite book ?
Before solving these type of questions , have a look on the pie chart , from their we got that , 16% of 300 have choosed mystery as their favourite book.
Now , 16% of 300 = (16/100)×300 = 16×3 = 48
So , 48 people choosed mystery as their Favourite book .
Hence , Option C) 48 is correct
Answer:
C) 48
Step-by-step explanation:
16% out of 100% choose mystery
So
[tex] \frac{16}{100} \times 300 = 48[/tex]
Store A and Store B are both having a sale on notebooks. At Store A it costs $9 for 14 notebooks. Store B is having a sale where you pay $3 for 5
notebooks. What would you pay for one notebook if you wanted the best deal?
Answers
Answer:
the branch of technology that deals with dimensions and tolerances of less than 100 nanometers, especially the manipulation of individual atoms and molecules.
You would pay $0.6 for one notebook if you wanted the best deal
The prices of notebooks in both stores are given as:
Store A
$9 for 14 notebooks.
Store B
$3 for 5 notebooks.
Next, we calculate the unit rate for both stores
[tex]A = \frac 9{14}[/tex]
[tex]A = 0.643[/tex]
[tex]B = \frac 35[/tex]
[tex]B = 0.6[/tex]
0.6 is less than 0.643.
This means that store B has the best deal
Hence, you would pay $0.6 for one notebook if you wanted the best deal
Read more about unit rates at:
https://brainly.com/question/19493296
If you listen to Rap Music What 2021 Artist do you like
Answers
Answer:
OhGeesy and Shordie Shordie
Answer:
well honestly MY favorite is Molly slow and reverb from wokstar.But there's a lot tho
Question is in the photo
Answers
Answer:
Step-by-step explanation:
positive factors are:
1, a, b, a², ab, a²b
What is 15 + * ?
Hint: * equals to 1/2 of 20
Answers
Answer: 25
Step-by-step explanation: 1/2 of 20 equals 1/2 x 20, equals 20/2, equals 10. 15 + 10 = 25.
Answer:
25
Step-by-step explanation:
why? cause someone already said it.
4) Terrence realized that he had only traveled
22% of his 450 mile trip. How far has Terrence
traveled? How many miles does he have left?
Answers
Answer:
He travelled 99 miles and has 351 miles to travel
Step-by-step explanation:
Here,
22/100×450
=22/2×9
=11×9
=99 miles travelled
Again,
450 miles - 99 miles
= 351 miles left to travel
(would appreciate it if you could mark me the brainliest :))
Answer:
Terrence has traveled 99 miles.
He still has 351 miles to go.
Step-by-step explanation:
Change 22% to a decimal by moving the decimal point two places to the left, or dividing by 100.
22% is .22
or 22/100 is .22
Multiply.
.22 × 450 = 99
Terrence traveled 22 miles.
His trip will be 450 miles. Subtract.
450 - 99 = 351
He has 351 miles to go.
I have to write this on graph paper please help this is due tomorrow
Answers
Answer:
the answer is in the link
Step-by-step explanation:
_)) Miss Johnston has 80 gold stickers. She wants
to give the same number of stickers to each of her
8 students. How many stickers will each student
receive?
gold stickers per student
Answers
Answer:
10Step-by-step explanation
80 ÷ 8 = 10
Hope this helped!
From: Aug1e
Given that 32 = 9, write this in logarithm form.
Question 8 options:
log2 3 = 9
log3 9 = 2
log3 2 = 9
log2 9 = 3
Answers
It is
log 39=2
Explanation:
By definition the logarithmic form
log bx=y is equivalent to the exponential form
by=x
Hence from the given 32=9 you have b=3 , y=2 , x=9
hence the logarithmic form is
log 3 9=2
Select the correct answer.
What is the value of x in the triangle?
Answers
Answer:
A. 4
Step-by-step explanation:
SOH CAH TOA
Opposite & hypotenuse - sin
Sin(30) = o/8
x 8
O = 8 x Sin(30)
O =4
Hope this helps!
Based on past concerts, a band predicts selling 600-10p concert tickets when each ticket is sold at p dollars. Complete the table to find out how many concert tickets the band expects to sell and what revenues it expects to receive at the given ticket prices.
Answers
The formula for the number of tickets sold, 600 - 10·p, gives the
revenue at a given number of tickets as 600·p - 10·p².
How can the given table be completed?The number of tickets sold = 600 - 10·p
The revenue = Ticket price × (600 - 10·p)
The completed table is presented as follows;
[tex]\begin{array}{c|c|c|}Ticket \ price \ (dollars)&Number \ of \ tickets&Revenue \ (dollars)\\10&600 - 10 \times 10 = 500&10 \times 500 = 5000\\15&600 - 10 \times 15 = 450&10\times 450 = 4500\\20&600 - 10 \times 20 = 400&10 \times 400 = 4000\\30&600 - 10 \times 30 = 300&10 \times 300 = 3000\\35&600 - 10 \times 35 = 250&10 \times 250 = 2500\\45&600 - 10 \times 45 = 150&10 \times 150 = 1500\\50&600 - 10 \times 50 = 100&10 \times 100 = 1000\\60&600 - 10 \times 60 =0&10 \times 0 = 0\\p\end{array}\right][/tex]
The general formula for the revenue, given a number of tickets sold of 600 - 10·p is therefore;
The revenue = p × (600 - 10·p) = 600·p - 10·p²Therefore, when the ticket sold is p, we have;
Number of ticket sold = 600 - 10·pRevenue = 600·p - 10·p²Learn more about functions here:
https://brainly.com/question/18590720
The completed table is as follows:
Ticket price (dollars) Number of tickets Revenue (dollars)
10 500 5000
15 450 6750
20 400 8000
30 300 9000
35 250 8750
45 150 6750
50 100 5000
To complete the table and find out the number of concert tickets the band expects to sell and the revenue it expects to receive at the given ticket prices.
we need to use the provided information that the band predicts selling 600 - 10p concert tickets when each ticket is sold at p dollars.
The number of tickets sold = 600 - 10·p
The revenue = Ticket price × (600 - 10·p)
By plugging the value of ticket price we find the number of tickers and revenue.
If ticket price is 10.
Then plug in p =10 to find the number of tickets sold in the equation.
The number of tickets sold = 600 - 10·p
=600-10(10)
=500
Revenue = 10(600-10(10))
=10(500)
=5000
Similarly we fill the table by using this format.
To learn more on Equation:
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#SPJ6
the hypotenuse of a right triangle is 50ft
Answers
Answer:
is that question complete?????
A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 70 responses, but the responses were declining by 10% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 23 days after the magazine was published, to the nearest whole number?
Answers
Answer:
638
Step-by-step explanation:
The total number of responses is the value of a geometric series with first term 70 and common ratio 1-10% = 0.90. That sum is given by the formula ...
Sn = a1·(1 -r^n)/(1 -r)
where r is the common ratio, n is the number of terms, and a1 is the first term.
The sum of n=23 terms of the series with a1=70 and r=0.9 is ...
S23 = 70·(1 -0.9^23)/(1 -0.9) = 700(1 -0.9^23) ≈ 638
The model predicts 638 total responses over the first 23 days.
pleas help i in exanm
Answers
6 * 3/8
Is the same as
6/1 * 3/8
Do you know how to multiply fractions
60 POINTS!!!
Peter worked 41 hours last week. He earns $18.60 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What is his gross pay?
Show work for 60 points!
Answers
Answer:
what he works 40 hours overtime? im a little confused by the question but if he works 40 hours overtime then his gross pay would be $14,601.00.
Step-by-step explanation:
in order to calculate gross time you must first
Determine the actual number of hours worked.
Multiply the number of hours worked by the hourly wage.
If there is overtime, multiply the number of overtime hours worked by the overtime pay rate.
Add regular pay and overtime pay together to find the gross pay for that pay period. hope this helps :) if not comment let me know
Answer:
762.6
Step-by-step explanation:
If he gets paid 18.60 per hour and he worked 41 hours then his total pay is $762.6
PLEASE HELP ME GRAPH THIS
Answers
Answer: start point will be 60 which is between 40 and 80 and go up files point to 80 then the second will be 40.
and go files point to between 80 and 120 then the second point will be 80
Step-by-step explanation:
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
A. y=[tex]\frac{1}{2}[/tex]x+3
y=-x+18
B. y=[tex]\frac{1}{2}[/tex]x+3
y=x+18
C. y=[tex]\frac{1}{2}[/tex]x-3
y+x=18
Answers
Answer:
c
Step-by-step explanation:
if Callie's cat is x and the question says that the kitten is 3 pound less than half(1/2) of x it will then be half of 1/2 of x then - 3(to get the kittens weight)
the if both cats weight 18 it'll be x+y
Jason is 15 years old . his sister Nadine is 4 years younger . how old will his sister be in 6 years time?
Answers
Answer:
17
Step-by-step explanation:
Jason is 15 his sister 4 years younger: 15-4=11+(6years)=17
explain why please and make sure it is in full detail
Answers
Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49
Answer:
The exponent of an expression says how many times to multiply the expression.
[tex]\implies (y-7)^2=(y-7)(y-7)[/tex]
Expand the brackets:
[tex]=y^2-7y-7y+49[/tex]
Combine like terms:
[tex]=y^2-14y+49[/tex]
- - - - - - - - - - - - - - - - - - - - - - -
[tex]y^2-49=(y+7)(y-7)[/tex]
Using "Difference of Two Squares" [tex]a^2-b^2=(a+b)(a-b)[/tex]
Two friends shop for fresh fruit. Elena buys a watermelon for $6.75 and 5 pounds of cherries. Taniy buys a pineapple for $3.55 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.
Answers
Answer:
The expression that represents how much more Elena spent is $3.2 + p
Step-by-step explanation:
simplify; 3 4/5 - 2 1/4
A. 11/20
B. 1 1/3
C. 1 11/20
D. 1 5/9
Answers
Answer:
The choice C.
[tex]1 \frac{11}{20} [/tex]
Step-by-step explanation:
[tex]3 \frac{4}{5} - 2 \frac{1}{4} \\ \\ \frac{19}{5} - \frac{9}{4} \\ \\ \frac{76}{20} - \frac{45}{20} = \frac{31}{20} = 1 \frac{11}{20} [/tex]
31/20 simplified is 1 11/20
Below is a graph of the savings account table
1. What does the point (10,125) mean on the savings account card
2. Write an equation for this graph and Y equals KX form
(Giveing Brainly and worth 50 points!!!!)
Help out please
Answers
Answer:
10 months of savings gets you $125
y=12.5x x=months 12.5=amount for one month y is a total over a certain amount of months
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Here
x=monthsy=Amount saved#1
(10,125)
Months=10Savings=125#2
Take 2 points
(0,0)(10,125)[tex]\\ \rm\rightarrowtail m=\dfrac{125}{10}=25/2[/tex]
Equation in point slope form
[tex]\\ \rm\rightarrowtail y=25/2(x)[/tex]
[tex]\\ \rm\rightarrowtail 2y=25x[/tex]
Sohan joined a new company on 1st April 2015 and worked till 15th October 2015. For how many months and days did he work?
Answers
Answer:
7 Months and 15 Days
Step-by-step explanation:
The months that you chose had all 31 days, besides april. So you add them all up and just add the remainder into your answer.
Two angles are complementary. The larger angle is 36 more than the smaller angle. What is the measure of the larger angle?
Answers
[tex][Hello,BrainlyUser][/tex]
Answer:
Large Angle = 63
Step-by-step explanation:
Complementary Angle = 90 °
x + x + 36 = 90
2x = 54
x = 27
Large Angle : 27 + 36 = 63
Smaller number =27
[CloudBreeze]
Find the power set of
{ø,1,{2},{1,2}}
Answers
Answer:
Step-by-step explanation:
the set is : {1,2} the power is 2²
