The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you se regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers.
Answers
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.
Difference between the points of intersection of A, B and C-All the points of intersection of given angle A, B and C keeps the different value as all the sides of the triangle is not equal.
The differences in terms of the angles-
The length of the angle C using the above formula,
[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]
Similarly, the measure of angle B,
[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]
The measure of angle A,
[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]
The length of the side opposite each angle-The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.
The pattern regarding the measurements-All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.
Situation in which all the points of intersection resemble one another-When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.
Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
Learn more about the law of cosine here;
https://brainly.com/question/4372174
Related Questions
When 19346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number?
Answers
Answer:
23
Step-by-step explanation:
19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then
23 × 841 = 19343, thus
19346 ÷ 841 = 23 remainder 3
The divisor is 23
Write a quadratic function in standard form with zeros 12 and -3
Answers
Answer:
x^2+10x-24
Step-by-step explanation:
hope this helps!!!Convert this number expressed in standard form to scientific notation
28,500,000
1. Move the decimal to create the coefficient: 2.8500000
2. Write in scientific notation:
2.85 x 100
What is the value of x in the scientific notation?
Answers
Answer:
28,500,000 into scientific notation is 2.85 x 10⁷
2.85 x 100 in scientific notation is 2.85 x 10²
if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else
Consider M, N, and P. collinear points on MP. What is the difference between the ratio MN:NP and the ratio MN: MP? PLEASE HELPPPPPPP
Answers
Answer:
The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.
Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.
Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps! I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.
Is point R collinear with points Q and S?
Answers
Answer:
can't hwlp you without an image
Make a table of a linear function whose equation is y=-2x +4.
Х
у
-1
0
I
1
2
Answers
Answer:
Step-by-step explanation:
y = -2x + 4
x y
-1 6
0 4
1 2
2 0
y = -2(-1) + 4 = 2 + 4 = 6
y = -2(0) + 4 = 0 + 4 = 4
y = -2(1) + 4 = -2 + 4 = 2
y = -2(2) + 2 = -4 + 4 = 0
what is the range of this function(–11, 8) (13, 7) (14, 7)
Answers
Answer:
The range is { 7,8}
Step-by-step explanation:
The range of the functions is the output values
We do not list the repeated values more than one and normally list them from smallest to largest
The range is { 7,8}
which words name the shape ?
Answers
Answer:
D
Step-by-step explanation:
It's these shapes because:
Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.
Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.
Answer:
The fourth one
Step-by-step explanation: The fourth one because a parallelogram has four sides that are equal which makes a parallelogram and the second thing is it's a rectangle.
Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?
3, 4, 5
3, 6, 9
5, 5, 5
5, 10, 5
Answers
Answer:
5, 5, 5
Step-by-step explanation:
i saw it on quizlet
The set of side length that represents a triangle with 3 lines of reflectional symmetry is 5,5,5
Reflectional symmetry is a line that divides a triangle into halves. The halves the triangle are divided into are a reflection of each other.
A triangle is a shape that has three sides with three angles which sum up to 180 degrees.
Types of triangles :
Equilateral triangle : the three sides of the triangle have an equal length. It has three lines of reflectional symmetry Right-angled triangle : the square of the longest side is equal to the sum of the square of the other two sides Scalene triangle : all the three sides of the triangle have different lengths. It has no line of reflectional symmetry. Isosceles triangle ; it has two sides that have an equal length. It has one line of reflectional symmetryTo learn more about reflectional symmetry, please check: https://brainly.com/question/1593820?referrer=searchResults
A baby weighed 8 pounds at birth if she triples her weight by age 2 how much does she weight at age 2
Answers
Answer:
The answer is 24 pounds
Step-by-step explanation:
Tripling is another way of saying multiplying by 3, so when you multiply 8 and 3...you get 24
Explain the stages of a spider’s life cycle.
Answers
Answer:
3 Stages
Step-by-step explanation:
the Egg the Spiderling and the spider as an Adult i hope this helped.
Answer:
Thank you and sorrrrryyyyyy
1.1f Homework: Creating and Solving Linear Equations to Model Real World Problems Part I
he document will
1) Use the story below about Sanjeet and his friends' end-of-season basketball statistics to answer the
questions that follow.
Story
Points Scored
Terrence's points:
Sanjeet and his teanit members were looking
Sanjeet's points:
Cole's points:
at the total points scored by each player
during the season. Sanjeet scored twice ay
many pointy ay Terrence. Cole scored 12
more points than Sanjeet. Together the boys
scored 992 points during the season. How
many points did each boy score?
Equation:
Answers
A pen costs $1.50. It costs $0.25 less than a marker. If I paid for both supplies with $5.00, what would be my change?
Answers
Answer:
tour change would me $1.75
simplify 1/3(6x−12)+4x
Answers
Answer:
2⋅(3x−2)
Step-by-step explanation:
what is equivalent to 2 5/9
Answers
Answer:
2.555555 ....
Step-by-step explanation:
2 5/9 is a mixed number.
Use your calculator to divide 9 into 5, to find the value of 5/9. Then add 2 to the result:
5/9 = 0.5555555 (repeating fraction)
Adding 2, we get:
2.555555 .... (repeating fraction)
Use dimensional analysis to convert 9 milliliters to fluid ounces. Use 1 mL ≈ 0.034 fl oz.
Answers
Answer:
0.306 fl oz.
Step-by-step explanation:
9 mL * (0.034 fl oz / 1 mL) = 0.306 fl oz [the millilitres canceled out].
Hope this helps!
IF YOU HELP WILL MAKE BRAINLYIST!!!!!!!!
Answers
Answer:
In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides, and the points where two edges meet are the polygon's vertices(singular: vertex) or corners.
So, if a shape has points where two edges meet, it is indeed a polygon. Some examples include: Equilateral Triangles, Squares, Regular Pentagons, Regular Hexagons, Regular Heptagons, and Regular Octagons.
____________________ This is when you flip a fraction over. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio
Answers
Answer:
To divide one fraction by another one, flip numerator and denominator of the second one, and then multiply the two fractions. The flipped-over fraction is called the multiplicative inverse or reciprocal.
Step-by-step explanation:
The answer is Reciprocal
I hope this helps you :)
Step-by-step explanation:
When we flip a fraction we form it's reciprocal, the use of reciprocal is generally used for division of fractions ,Hope this helps....
Express 7.4 x 102 in standard form.
MATH
Answers
10^2 = 100
7.4 × 10^2 = 7.4 × 100 = 740
Answer: 740Miracle sells 28 dozens of donuts on Wednesday. Each dozen cost $18. How much is one
donut?
2
Answers
Answer:
$1.5
Step-by-step explanation:
if each dozen cost $18, we need to divide.......18/12........because 12 is a dozen.
18/12 = 1.5
The proceeds from a car wash are directly proportional to the number of cars washed. The total after 9 cars was $180. How much can be raised if 60 cars
are washed?
60 cars washed?
Answers
Answer:
$1200
Step-by-step explanation:
180 divided by 9 is 20, so they earned $20 per car washed. They want to wash 60 cars, and if they wash 60 cars they would earn $1200. (60 x 20)
Answer:
$1200
Step-by-step explanation:
Our revenue is directly proportional to the number of cars. That means our revenue is increasing at a constant rate, and thus, we are getting the same amount of money per car. That means we can find out how much we get from washing 1 car.
[tex]\frac{180}{9} = 20[/tex]
$20 per car.
If we washed 60 cars, we'd earn 60 * $20:
[tex]60*20 = 1200[/tex]
Answer: $1200
Please help ik its kinda esay but is dificlut for me
Answers
Answer:
see explanation
Step-by-step explanation:
For a relation to be a function each value of x on the domain can only map to one unique value of y in the range.
For the given point, we can see that
x = 1 → y = 4 and x = 1 → y = 1
This breaks the function rule, thus the set is not a function
Explanation:
The list of first numbers of the ordered pairs is ...
1, 3, 1, 9, 0.
There is a repeated value, 1, so the relation cannot be a function. Each domain value can only appear once in a relation that is a function.
what is the value of the expression 4w+9 when w=5
Answers
Answer:
4(5) +9 =29. Hope this helped:)
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
First, input 5 instead of w:
4(5) + 9
Then, distribute (get rid of parentheses):
20 + 9
Finally, simplify (add):
The answer is 29
Hope this helps ^^
Solve
solution
5w + 3 <4w + 9 graph the
set on
number
Line
Answers
Answer:
hope it helps
ppz mark as brainliest
If the common differences of an Ap is 5, the value of a18-a13 is
Answers
Answer:
25
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n- 1)d
where a₁ is the first term and d the common difference
Here d = 5, then
a₁₈ = a₁ + 17d = a₁ + 85
a₁₃ = a₁ + 12d = a₁ + 60
Thus
a₁₈ - a₁₃
= a₁ + 85 - a₁ - 60
= 25
Help me plz I don't know how to do this!
Answers
Answer:
B
Because the right side is double the number on the left
which is greater 3.6 m or 36 cm?
Answers
Answer:36
Step-by-step explanation:
Anything without a decimal is greater then that decimal
HELP FAST
DARIA
3(x – 17) < 9(1 – 3x)
Is 2 a solution to Daria's inequality?
O Yes
O No
Answers
Answer:
yes
Step-by-step explanation:
no
Answer:
eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
use a straightedge and a compass to construct a segment of length AB+CD
Answers
Answer:
I also just noticed that is saying construct a segment of the lenght of both of them so after you have both lenght measure them draw AB close point get CD and trace it over start from B and there you have the big segment which is made of both of them AB + CD
:)
Step-by-step explanation:
So basically get your compass and start by these steps
first get the total lenght of AB lets say its 100
when you go to make CD angle all you have to do
its trace same line and there you got both points same sizes
I hope that helped.
1. Five more than a number is eight.
Answers
Answer
3, the number is 3
Step-by-step explanation:
work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.