If line QN bisects angle PQR and N is the midpoint of line PR classify each triangle by its angles and sides
Answers
Answer:
The answer is "Equiangular, Equilateral"
Step-by-step explanation:
please find the complete question in the file.
In this question, the answer is equiangular, in which the triangle was considered an equilateral triangle with 3 parallel inner angles. It's the measurement of each of these interior angles is 60 degrees, inside an equiangular triangle, and although there 3 parallel sides of an equiangular triangle, so it is just like an equilateral triangle.
Based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.
Recall:
An equilateral triangle all three sides that are congruent and also has all of its three interior angles equal to 60 degrees each.In the diagram given (see image attached below), we have the following:
PQ = RQ = 14 (congruent sides)
PN = NR = 7 (N is the midpoint of PR)
Therefore:
PR = PN + NR
SubstitutePR = 7 + 7 = 14
This shows that triangle PQR has equal side lengths measuring 14 units (PQ = RQ = PR = 14).
Also, we are given that:m<QPR = m<QRP = 60 degrees (two congruent angles).
Taking right triangle QNR into consideration,m<NQR = 180 - (90 + 60) (sum of triangle)
m<NQR = 30 degrees
Therefore:
m<PQR = m<NQR + m<PQN
Substitutem<PQR = 30 + 30
m<PQR = 60 degrees.
This means that, triangle PQR has three equal angles measuring 60 degrees each (<PQR = <QPR = <QRP = 60 degrees).
Therefore, based on the sides and angles of a triangle, triangle PQR would be classified as: an equilateral triangle.
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Related Questions
(16,1),(17,7) slope
Answers
Answer:
The answer is 6Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]
From the question we have
[tex]m = \frac{7 - 1}{17 - 16} = \frac{6}{1} = 6 \\ [/tex]
We have the final answer as
6Hope this helps you
Answer:
Step-by-step explanation:
Answer:
The slope of line is 1
Step-by-step explanation:
We need to find slope of line given points (16,1),(17,7)
The formula used to find slope of line is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given:
[tex]x_1=16, y_1=1, x_2=17 \ and \ y_2=7[/tex]
Finding slope using formula:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-6}{17-16}\\Slope=\frac{1}{1}\\Slope=1[/tex]
So, the slope of line is 1
A plumber has a 2.5 metre long copper pipe he needs to cut lengths of 60cm 35cm and 90cm work out how much of the initial 2.5 metre long pipe is left give your answer in cm
Answers
Answer:
2.5 meters = 250 cm
Step-by-step explanation:
HELPPPP PLEASEEEEEEEE
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Answers
Answer:
16v
3
Step-by-step explanation:
Answer:
3
16v
Step-by-step explanation:
A graph has minutes on the x-axis and ounces of popcorn on the y-axis. A curve goes through points (0, 0), (50, 12), and (110, 18).
Rachel had a popcorn machine at her party. Determine whether the relationship between time and the amount of popcorn popped is directly proportional.
Yes, for every 10 minutes there were 4 ounces of popcorn popped.
Yes, the input is time and the output is the amount of popcorn popped.
No, the graph does not make a straight line.
No, the graph does not go through the origin.
Answers
Answer:
C - No, the graph does not make a straight line.
Step-by-step explanation:
Just did on edg
There is no proportional relationship between the time and the amount of popcorn popped.
No, the graph does not make a straight line.
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
A graph has minutes on the x-axis and ounces of popcorn on the y-axis and goes through the following coordinates.
(0,0), (50, 12), and (110, 18)
This means,
For 0 minutes, 0 ounces of popcorn.
For 50 minutes, 12 ounces of popcorn.
For 110 minutes, 18 ounces of popcorn.
50 minutes = 12 ounces
Divide 50 on both sides.
1 minute = 12/50 ounces
1 minute = 0.24 ounces ____(1)
110 minutes = 18 ounces
Divide 110 on both sides.
1 minute = 18/110 ounces
1 minute = 0.16 ounces ____(2)
From (1) and (2) we see that there is no proportional relationship between the time and the amount of popcorn popped.
Thus,
There is no proportional relationship between the time and the amount of popcorn popped.
No, the graph does not make a straight line.
Option C is the correct answer.
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Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Although she has the correct equation, she needs to sell each necklace for $12.50.
Although she has the correct solution, she should have used the equation 8 (x minus 2.75) = 78.
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
The equation should be StartFraction 1 over 8 EndFraction (x minus 2.75) = 78, and she needs to sell each necklace for $75.25.
Answers
9514 1404 393
Answer:
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
Step-by-step explanation:
The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...
8(x -2.75)
If Rita wants that profit to be $78, then she needs to solve the equation ...
8(x -2.75) = 78 . . . . correct equation
The solution is ...
x -2.75 = 9.75 . . . . divide by 8
x = 12.50 . . . . . . . . add 2.75
She needs to sell each necklace for $12.50.
Answer: c
Step-by-step explanation:
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 900 tickets. There is one $3,000 grand prize, two $500 second prizes, and ten $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Answers
Step-by-step explanation:
the probability that the ticket will win you 600 dollars * 1/1500 = 600/1500.
the probability that the ticket will win you 50 dollars is 50 * 5/1500 = 250/1500.
the probability that the ticket will win you 25 dollars is 25 * 20/1500 = 500/1500.
your expected value is -1 + 600/1500 + 250/1500 + 500/1500 = -.1.
the average loss for each dollar that is bet is equal to 10 cents.
hope this helped
Ivan used 3 1/6 gallons of gas on Saturday and 1 4/5 gallons of gas on Sunday. How many gallons of gas did he use on the two days combined
Answers
Answer:
i wish to know, im sorry. i think 2/4 .. yeah dont trust that
Step-by-step explanation:
Answer:
Ivan used 4 29/30 gallons of gas
Step-by-step explanation:
Add 3 1/6 and 1 4/5 together, then simplify. Sorry I can't give the step by step explanation, good luck!
Write an equation of the line passing through the point (5, 8) that is parallel to the line 7x+5y=3
Answers
Answer:
y = (-7/5) x + 15
Step-by-step explanation:
Let's name the line whose formula we'll calculate as line A. The other line is line B.
Rewrite the equation of line B:
7x+5y=3y = -7x/5 + 3/5A parallel line has to have the same slope (-7/5). With that information in mind, we only need to calculate b (following the basic equation for a line, y=mx+b).
Line A passes through the point (5,8), so we can express the slope as:
m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-y_1}{5-0} =-\frac{7}{5}[/tex]So we solve for y₁:
8-y₁ = -7y₁ = 15That is the value in the Y-axis line A crosses when x=0. In other words, it is b.
The equation is y = (-7/5) x + 15
Caroline packs 12 jars of jam in a box . She has 50 boxes. She has 665 jars of jam. How many jars of jam will she have left when all the boxes are full?
Answers
Answer:
62 is the answer
Step-by-step explanation:
Hope that helps!
Can somebody help me wit this ? Cause Ion understand this .
Answers
Answer:
wow that's nice of your
Marcy determined that her father's age is the quotient of her age and 5, increased by 10. If x represents Marcy's age, write an expression that represents her father's age?
Answers
Answer:
x / 5 + 10 or
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x=30
Step-by-step explanation:
a straight line is 180 degrees so to figure out x you would do 180-151 which equals 29 however if u plug 29 in for x it wouldn't work because (29-1) equals 28 and 151+28 do not equal to 180 degrees so x would equal 30 because (30-1) is 29
Step-by-step explanation:
straight line = 180°
x= 180 - 151 +1
x = 30
missing angle = x -1
= 30 - 1
= 29
the length of a rope that was measured to be 36cm was later found to be actually 60cm,what was the percentage error?.
Answers
Answer:
;pay attention in class
Step-by-step explanation:
The distance between (-4,6) and (3, -7) is *round to the nearest tenth!!
Answers
d = sqr ((x2-x1)^2 + (y2-y1)^2)
d = sqr ((3+4)^2 + (-7-6)^2)
d = sqr ((7)^2 + (-13)^2
d = sqr ((49 + 169)
sqr of 218 = 14.76
The required distance between points (-4,6) and (3, -7) is 14.8.
Given that,
To determine the distance between (-4,6) and (3, -7).
Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
distance between (-4,6) and (3, -7) is given by the distance formula,
Distance = √[( x₁ - x₂ )² + ( y₁ - y₂ )²]
Distance = √[( -4 - 3 )² + ( 6 - (-7) )²]
Distance = √[( -7 )² + (13 )²]
Distance = √[49 + 169]
Distance = √218
Distance = 14.8
Thus, the required distance between points (-4,6) and (3, -7) is 14.8.
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A large pipe dispenses 750 gallons of water in 50 seconds .at this rate how long will it take to dispense 330 gallons
Answers
The ratio of adult tickets sold to child tickets sold was 3:2, how many
child tickets were sold?
Answers
Answer:
3
Step-by-step explanation:
elementry math lesson 3.11 5th grade page 70
Answers
Answer:
Her milk was $1.18
Step-by-step explanation:
$7.75+$0.47=$8.22
$10.00-$8.22=$1.18
15.3
×6.4
------- show work
Answers
Answer:
15.3
×6.4
-------
I am going to attach a Photo so you can understand it more.
Step-by-step explanation:
I hope this helped you.
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Have a great day!!!!!!!!!!
if a car travels 40 miles in 1 hour how much miles will it be if they traveled for 3 hours
Answers
Answer:
120 miles
Step-by-step explanation:
40 times 3 equals 120
Answer:
120 miles in 3 hours
Step-by-step explanation:
1 times 3 = 3 hours
40 times 3 = 120 miles
This means that in 3 hours the car can drive 120 miles.
what is the slope of the line that passes through these two points (0, -2) and (3, -4)
Answers
Answer:
2/3 because of rise over run it is a valid answer
Hello! Can anyone please tell me the measurement of t and v ? Any help is gladly appreciated.
Answers
Answer:
v= 80, t=100
Step-by-step explanation:
yea
Given mn, find the value of x.
Answers
Answer:
x = 23
Step-by-step explanation:
You have to find where they are equal because the angle will be the same.
8x - 27 = 7x + 4
x = 23
The value of x is equal to 23°
What are line and angles?Lines are straight and have negligible depth or width. There are a variety of lines you will learn about, such as perpendicular lines, intersecting lines, transversal lines, etc. An angle is a figure in which two rays emerge from a common point. You may also come across alternate and corresponding angles in this field.
Given here, Two corresponding angles thus they must be equal
Thus 8x-27=7x-4
x= 23°
Hence, The value of x is equal to 23°
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Credible sources should explicitly identify the purpose or intent of the information included in a source. Please select the best answer from the choices provided T F
Answers
Answer:
true
Step-by-step explanation:
The given statement is true.
What are credible source?A credible source is one that is written by someone who is an expert in their discipline and is free of errors and bias.
Yes, identifying the purpose would increase the credibility of the source.
Including the intent of the information in the source will help place the information in a wider context - and often the context is necessary to fully understand the content of a source.
Otherwise, researchers or journalists would question the authenticity of the source. When doing research, it is very important to have enough credible sources to support the arguments of our work. So researchers need to double-check the validity of the information, make comparisons if necessary, that can prove the data included in the research is correct.
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Simplify (4.5)(5)(−2). (1 point) a 45 b 4.5 c −4.5 d −45
Answers
Answer:
D cause it equals -45
Step-by-step explanation:
Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week? The percent written as a part-to-whole ratio is to 100. 150 divided by is equal to 75. 100 divided by is equal to . Zara ate almonds last week.
Answers
a. The amount of almonds that Zara ate last week is equal to 50.
b. The percent written as a part-to-whole ratio is 150:100.
c. 150 divided by 2 is equal to 75.
Let the number of almonds that Zara ate last week be L.Given the following data:
Amount of almonds = 75 almondsPercentage = 150%a. To determine the amount of almonds that Zara ate last week:
[tex]\frac{150}{100} \times L = 75\\\\1.5L =75\\\\L=\frac{75}{1.5}[/tex]
L = 50 almonds
b. The percent written as a part-to-whole ratio is:
Part = 150%Whole = 100%Part-to-whole ratio = 150:100
c. 150 divided by ___ is equal to 75:
[tex]\frac{150}{y} =75\\\\150=75y\\\\y=\frac{150}{75}[/tex]
y = 2
Ratio: https://brainly.com/question/12212308
Answer:
the first one is 150
second one is 2
third one is 2
fourth is 50
fifth one is 50
Step-by-step explanation:
hope this helps!! i took assignment
HURRY PLEASE I NEED TO TURN THIS IN TODAY!!
I WILL GIVE YOU BRAINLIEST!
Answers
Answer:
21=x
Step-by-step explanation:
75=4x-9
84=4x
21=x
What is
2 tan(10)/1-tan?(10)
expressed as a single trigonometric ratio?
tan(209)
tan(5)
tan(59)
tan(209)
Answers
Answer
It's tan(20) and D on edg
Step-by-step explanation:
3 friends want to go for a hike.
They pack enough water to last for 6 hours.
3 more people join the hike.
How long will their water last now?
Give your answer in hours.
Please answer asap
Answers
Answer:
2hrs per person
Step-by-step explanation:
A small business owner contributes $1000 at the end of each quarter to a retirement account that earns 4% compounded quarterly.A) How long will it be until the account is worth $150,000?B) Suppose when the account reaches $150,000, the business owner increases the contributions to $8,000 at the end of each quarter. What will the total value of the account be after 15 more years?
Answers
Answer:
ttttttyyyyyyyyyhghhh
16. The original price of a tie is $12.50. The new price of the tie is now
$7.50. By what percentage was the tie marked down? *