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°.
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Related Questions
how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with different signs.
Answers
Answer:
Step-by-step explanation:
it is related as all integers are rational numbers
The required solution is integers are rational numbers.
It is required to find the solution.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Solution:
They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number which is a integer. They are related because the equations have both integer and rational numbers in it.
∴It is related as all integers are rational numbers.
Therefore, the required solution is integers are rational numbers.
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what is 2.5 (x - 1) + 4.5 (-x - 2)
Answers
Answer:
2.5(x-1)+4.5(-x-2)
2.5x-2.5-4.5x-9
-2x-11.5
Step-by-step explanation:
Answer:
2x-11.5
Step-by-step explanation:
[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]
hope this helps
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answers
Answer:
domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
Evaluate the expression: -7(3t - 8) + 5, when t = -6
Answers
Answer:
147 maybe?
Step-by-step explanation:
Factor k^2-81...............
Answers
Answer:
[tex](k+9)(k-9)[/tex]
Step-by-step explanation:
[tex]k^2-81[/tex]
[tex]k^2-9^2[/tex]
Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]
what is p-9/3=2 what is p?
Answers
p-9/3 = 2
p-9 = 2×3
p-9 = 6
p = 6+9
p = 15... Hope this will help...
graph the function y= 2.2 - |0.4x + 1|. what are the coordinates, to the nearest tenth, of the maximum of the graph.
A. (2.5, 2.2)
B. (-2.5, 2.2)
C. (0, 3.2)
D. (3.2, 0)
Answers
Answer:
B
Step-by-step explanation:
no explanation.......
Answer:
(-2.5,2.2)
Step-by-step explanation:
Two angles are supplementary and have equal measures. What must
the measure of each angle be?
Answers
Answer:
These angles are called angle pairs. ... Supplementary angles are two angles whose sum is equal to \begin{align*}180^\circ\end{align*}. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.
Step-by-step explanation:
Hope this helps you <3
Solve for x: 6x + one over four(4x + 8) > 12 Im lost please help asap
Answers
Answer:
[tex]x > \frac{10}{7} [/tex]Step-by-step explanation:
[tex]6x + \frac{1}{4} (4x + 8) > 12[/tex]
Expand the terms in the bracket
That's
[tex]6x + x + 2 > 12 \\ 7x + 2 > 12[/tex]
Subtract 2 from both sides of the inequality
That's
[tex]7x + 2 - 2 > 12 - 2 \\ 7x > 10[/tex]
Divide both sides by 7
That's
[tex] \frac{7x}{7} > \frac{10}{7} [/tex]
We have the final answer as
[tex]x > \frac{10}{7} [/tex]
Hope this helps you
Point A is at (-7,5) and point M is at (0.4). Point M is the midpoint of point A and point B. What are the coordinates of point B?
Answers
Answer:
The coordinates of point B is
( 7 , 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Let the coordinates of B be ( x , y)
From the question the midpoint is ( 0 , 4) and A is (-7 , 5)
So we have
[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]
Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates
That's we equate them
So we have
For x[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]
For y[tex]4 = \frac{5 + y}{2} \\ 8 = 5 + y \\ y = 8 - 5 \\ \\ y = 3[/tex]
So we have
x = 7 , y = 3
So the coordinates of point B is
( 7 , 3)Hope this helps you
Answer:
7,3
Step-by-step explanation:
x²y + 2 xy² + 3x²y=?
Answers
Answer:
2xy(2x+y)
Step-by-step explanation:
By factoring the xy out you have to divide all term by xy giving you that :)
what is an equation of the line that passes through the points (4,-6) and (8,-4)
Answers
Answer:
[tex]y = \frac{1}{2} x - 8[/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Using the gradient formula above,
[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]
Substitute the value of m into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x=4, y= -6,
-6= ½(4) +c
-6= 2 +c
c= -6 -2 (-2 on both sides)
c= -8 (simplify)
Thus, the equation of the line is y= ½x -8.
Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags at $2.49 each. Will Owen’s parents have enough money to buy all 6 goodie bags? I HAVE TO SHOW MY WORK
Answers
Answer:
Yes, they can buy all the bags.
Step-by-step explanation:
Owen's parents need to buy 6 bags for $2.49 each.
So, we need to calculate the total price:
$2.49 * 6 = $14.94
Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00
Hope this helps!
Answer:
They will have enough money to spend on 6 goodie bags
Step-by-step explanation:
First, you need to mutiply $2.49 × 6 and then you get 14.94
then you need to subtract $20.00 - 14.94 to get $5.06
so your answer should be, ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨
help me for brainliest
Answers
Answer:
D = <-2, 10>Step-by-step explanation:
Domain is from x to x.
You can use a ruler to determine it:
Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.
When the ruler touch the graph there the x is the beginig of the domain.
Move along to the right. When the ruler touches end of graph there the x is end of the domain.
The filled dot means < >, and the empty dot means ( ).
Please help o need this done fast I’m in a rush
Answers
Answer:b
Step-by-step explanation:
Help me guys! This question is hard for me
Answers
Answer:
should be answer A
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)
Dunni earns money babysitting.She charges $20 for traveling to the job, plus another $5 for each hour she babysits.Yesterday Dunni earned $60 for babysitting job
Answers
83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
Answers
Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
Tell whether the blue figure is a translation of the red figure.
The blue figure !
I a translation of the red figure.
Answers
Answer:it is a translation
Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid
Answer:
Yes
Step-by-step explanation:
Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve equation to find the number of hours T of labor spent repairing the car
Equation : __ =553
T= ___ hours
Answers
Answer:
6
Step-by-step explanation
265+48=313
553-313=240
240/60=6
Answer:
equation : 265 + 48T = 553
T = 6 hours
Step-by-step explanation:
equation
553 - 265 = 288
288 /48 = 6
the number of hours spent is 6
equation : 265 + 48T = 553
T = 6 hours
Which shows a difference of squares?
Answers
Answer:
the answer is C on egd2020
Step-by-step explanation:
god bless:}
If A and B are the solutions to the equation x^2-23x+130 , what is the sum of A and B ?
A) -10
B) 10
C) 23
D) 33
E) 50
Answers
Answer:
1 C) 23
2 D) x + y + 2
Step-by-step explanation:
1.
a = 1 , b = -23, c = 130
b²-4ac = (-23)²- 4×1×130 = 529 -520 = 9>0
if solutions (A=x₁, B=x₂) exist (b²-4ac≥0) then based on vieta's formula:
[tex]A+B=x_1+x_2=-\dfrac{b}a=-\dfrac{-23}1=23[/tex]
2.
sum of two even integers is na even integer
sum of two odd integers is na even integer
only sum of an even integer and an odd integer is an odd integer
x is even and y is odd so 2x is even and ±2y is even and x+y is odd
1 is odd and 2 is even which means:
2x±2y is even,
x+y + 1 is even
x-2y is even
only x+y+2 is odd (as sum of odd x+y and even 2)
A person becomes instagram famous when they have more that 5,000. Dmytryus currently has 2,000 followers. For every 500 likes a photo of his gets, he gains 20 followers. a.) what is the slope and what does it represent in this situation? b.) How many likes does Dmytryus need before he will become instagram famous? ANSWER THIS IS URGENT!!!!!
Answers
Answer:
a. 25/1, likes per follow b. 75,000 likes
Step-by-step explanation:
The slope is the likes per follow, which is 500/20 simplified to 25/1. To find how many he needs for answer b, you first need to find how many more followers he needs, which is 3000. You then multiply the number of likes per follow by the number of followers needed, 25x3000. Dmytryus needs 75000 likes to become Instagram famous.
Find the perimeter of the polygon with the vertices $Q(-3,\ 2),\ R(1,\ 2),\ \ S(1,-2),$ and $T(-3,-2)$ .
Answers
Answer:
The perimeter is 16 units.
Step-by-step explanation:
Once you graph all the sides you can easily count and see the perimeter is 16. :)
What is 3.142 rounded to the nearest hundredth?
Answers
Answer:
3.140
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
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If each interior angle of a regular polygon is 144 degrees. Find the number of sides in it.
Answers
Answer:
10
Step-by-step explanation:
In a polygon
interior angle + interior angle = 180°, thus
exterior angle = 180° - 144° = 36°
The sum of the exterior angles in a polygon = 360°, thus
number of sides = [tex]\frac{360}{36}[/tex] = 10
Answer:
10 sides
Step-by-step explanation:
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°.
write a calculation and a result that represents a number that is 5 greater than 3
Answers
Step-by-step explanation:
vt7vy7v fyy7ctyxt6zqDg gj
Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution
Answers
Answer:
the answer is reflective
Step-by-step explanation:
Answer:
A). reflexive
Step-by-step explanation:
The correct answer is reflexive. I know because I got it right on the Edge quiz. Trust me!
Solve: 4(x-1)-3(3x-2)=12(x+2)
Answers
Answer:
4x - 4 -9x + 6 = 12x + 24
arrange like terms
-5x +2 = 12x + 24
or, -17x = 22
x = - 22/17
Answer:
4x-4-9x+6=12x+24
4x-12x-9x= 4-6+24
-17 x= 22
X= -22/17
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28 people ordered dessert
2/7 ordered ice cream
the rest ordered the special
how many people ordered the special
Answers
Answer:
20 people
Step-by-step explanation:
The first step is to find out how many people are in 1/7 of the group. To do this, we divide 28÷7, and our answer is 4.
28÷7=4
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
Now we know that 8 people ordered ice cream. To find the number of people who ordered the special, we subtract 8 from 28.
28-8= 20
Therefore, 20 people ordered the special. Hope this helps!
If 28 people ordered dessert, 2/7 ordered ice cream then 20 people ordered the rest.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that 28 people ordered dessert.
2/7 ordered ice cream and the rest ordered the special how many people ordered the special.
1/7 of the 28 people is 4.
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
we know that 8 people ordered ice cream.
To find the number of people who ordered the special, we subtract 8 from 28.
Twenty eight minus eight equal to twenty.
28-8= 20
Hence, 20 people ordered the special.
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