Answer is below in the picture:-
(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')
I hope it helps.
It is proved that the ray BC is the angle bisector of angle ABA'.
What are angle bisectors?Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.
Therefore, <A'B'C' = <ABC
By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Hence, the ray BC is the angle, bisector of angle ABA'.
Learn more about reflection here;
https://brainly.com/question/28186407
#SPJ5
Consider the diagram
Lines AC and RS are
Coplanar
Parallel
Perpendicular
Skew
Answer:
Skew
Step-by-step explanation:
I took it on edge 2020
Line AC and RS are in different plane and they do not intersect, hence they are skew lines.
LinesA point is a location and it has no magnitude. A line is defined as something that extends infinitely in either direction. A line is the shortest distance between two points.
Skew lines are two lines that do not intersect and are not parallel. Hence the two lines do not exist in the same plane.
Line AC and RS are in different plane and they do not intersect, hence they are skew lines. They are not parallel also.
Find out more on Lines at: https://brainly.com/question/18831322
Write a two-column proof given Angle 1 is congruent or equal to angle 2. How to prove Segment AB is congruent or equal to segment CB
AngIe 1 is cοngruent οr equaI tο AngIe 2.
What is meant by cοngruent?The term "cοngruent" refers tο having the same size, shape, and οrientatiοn. In geοmetry, twο shapes are cοnsidered cοngruent if they have the same size and shape and can be transfοrmed intο each οther by sοme cοmbinatiοn οf transIatiοn, rοtatiοn, and refIectiοn Fοr exampIe, twο triangIes are cοngruent if aII cοrrespοnding sides and angIes are equaI. If twο shapes are cοngruent, they are essentiaIIy identicaI and can be superimpοsed withοut οverIapping οr gaps.
Line segment AB intersects Iine L at pοint P | Given theLine segment CB intersects Iine L at pοint Q|. Given theAngIes 1 and P are cοrrespοnding angIes, and angIes 2 and Q are cοrrespοnding angIes. cοrrespοnding angIe definitiοnThe cοrrespοnding angIes fοrmed by the sectiοns οf twο paraIIeI Iines are cοngruent. set οf cοrrespοnding angIesStraight Iine L is paraIIeI tο AB and CB. Definitiοn οf paraIIeI IinesAngIe 1 is cοngruent tο angIe 2, angIes 1 and P are cοrrespοnding angIes, and angIes 2 and Q are cοrrespοnding angIes. Cοngruent transitivityThe angIe P is cοngruent tο the angIe Q. equivaIent assignment prοpertyLines AB and CB are οppοsite angIes P and Q. οppοsite side definitiοnOppοsite sides οf a cοngruent angIe are cοngruent | Inverse οf the isοsceIes triangIe theοremSegment AB Cοngruent οr EquaI tο Segment CB |Definitiοn οf Cοngruent SegmentsTo know more about rotation visit
brainly.com/question/157199
#SPJ1
Complete question:
Write a two-column proof given Angle 1 is congruent or equal to angle 2. How to prove Segment AB is congruent or equal to segment CB.
At an assembly, 180 students sit in 9 equal rows. How many students sit in each row?
Answer:
20 students per row
Step-by-step explanation:
person per each row=180/9=20
Answer:
20
Step-by-step explanation:
Take the number of students and divide by the number of students
180/9
20
There are 20 students in each row
27L 600mL divided by 6
Answer:
4 L 600 mL
Step-by-step explanation:
1 L = 1000 mL
so 27 L 600 mL = 27000 + 600 = 27600 mL
27600/6 = 4600 mL
4 L 600 mL.
Given m∠JSL = (4y − 10)° and bisects ∠JSL.
What is the value of y if m∠HSJ = (y + 43)°?
The value of y is 48.
To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.
Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:
m∠JSL = m∠HSL + m∠LSJ
Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:
4y - 10 = (y + 43) + (y + 43)
Simplifying the equation:
4y - 10 = 2y + 86
Subtracting 2y from both sides:
2y - 10 = 86
Adding 10 to both sides:
2y = 96
Dividing both sides by 2:
y = 48
Therefore, the value of y is 48.
For more questions on value of y
https://brainly.com/question/28896476
#SPJ8
Which value of x would make TV || OS?
3
8
10
11
Answer:
For x = 10, the lines will be parallel
Step-by-step explanation:
For parallel lines in a triangle, their sides must be proportional
And,
\(\frac{x+4}{x-3} = \frac{x+10}{x}\)
Cross Multiplying
=> x(x+4) = (x-3)(x+10)
=> \(x^2+4x = x^2+7x-30\)
=> \(x^2-x^2+7x-4x = 30\\\)
=> 3x = 30
Dividing both sides by 3
=> x = 10
Answer:
tthe answer is 10
Step-by-step explanation:
just took the test
The lower the standard deviation the less of what in a distribution
The lower the standard deviation, the less variability in a distribution.
What is variability in a distribution?Variability in a distribution is a measure of how spread out the data is. It is measured using metrics such as the range, variance, and standard deviation. These metrics are used to quantify the spread of the data and to compare the variability of different distributions.
Therefore, the correct answer is as given above
learn more variability in a distribution: https://brainly.com/question/14052211
#SPJ1
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answer: y= -2x + 3
Step-by-step explanation:
Answer ASAP please
For 50 Points!
An equation and the first step in its solution are shown.
Equation: x^2 +8x+5
Step 1: x^2 +8x+h=−5+h
What value of h is used to solve the equation by the method of completing the square? Show your work! Will be in fraction-like form
Answer:
h = 16 || solution after squaring: \(x = -0.683\) or \(x = -7.32\)
steps by fieranswererft:
Given: \(x^2+8x+5=0\)
Take half of the x term and square it
\([8*\frac{1}{2} ]^2=16\)\(x^2+8x+16=- 5+16\)\((x+4)^2=-5+16\)\((x+4)^2=11\)\(x+4 = \pm \sqrt{11}\)\(x = \pm \sqrt{11}-4\)\(x = -0.683\) or \(x = -7.32\)
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
For more questions on graph:
https://brainly.com/question/19040584
#SPJ8
Please help. How can i find the volume of cylinder
THE # are the blue and grey
The volume of the cylinder would be 2120.6\(units^3.\)
To find the volume of a cylinder, you need to use the formula:
Volume = π x \(radius^2\) x height
Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.
To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.
For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:
Volume = π x \(radius^2\)x height
Volume = 3.14159 x\(5^2\)x 27
Volume = 2120.6 \(units^3\)
Therefore, the volume of the cylinder would be 2120.6\(units^3.\)
for such more question on volume of the cylinder
https://brainly.com/question/6204273
#SPJ11
What are the factors of 2a³ + a² + 2a + 1?
O 2(a² + 1)(a + 1)
O(a + 1)(a - 1)(2a + 1)
O (a² + 1)(2a + 1)
O 2(a + 1)2 (a - 1)
Answer:
The answer is (a²+1)(2a+1)
Can somebody help me? A coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows an odd number?
The probability that the coin shows heads and the die shows an odd number is 1/4 or 0.25, which can also be expressed as 25% or 0.25 in decimal form.
To determine the probability that a coin shows heads and a die shows an odd number, we need to consider the individual probabilities of each event and then multiply them together.
1. The probability of the coin showing heads is 1/2, as there are two equally likely outcomes (heads or tails) and only one of them is heads.
2. The probability of the die showing an odd number is 3/6, or 1/2, since there are six equally likely outcomes when rolling a fair six-sided die, and three of them (1, 3, and 5) are odd numbers.
To find the probability of both events occurring, we multiply the probabilities: (1/2) * (1/2) = 1/4.
For more such questions on probability
https://brainly.com/question/25870256
#SPJ8
Pls answer this I’m begging you I will give a brainless if you answer correctly and professionally
Answer:
answer big no l
x=-6
y=10
Step-by-step explanation:
answer of 4
x 30
Answer:
Step-by-step explanation:
1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )
8x - 4 = 180
8x = 184
x = 184 / 8
x = 23°
y = 3x - 8 ( vertically opposite angles )
y = 3 × 23 - 8
= 69 - 8
= 61°
4) 5 x + 7 = 2x + 97 ( vertically opposite angles )
5x - 2x = 97 - 7
3x = 90
x = 90 / 3
x = 30°
Hope this helps
plz mark as brainliest!!!!!
The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
for such more question on sphere
https://brainly.com/question/28228180
#SPJ11
identify the special product by writing the letter of the answer provided. ( question in photo number 9 )
given data:
\((7h+3)^2=49h^2+42h+9\)this is a trinomial that are two product of binomials.
the correct option is b.
a model of a car is 4 inches long. if the actual car is 10 feet long, find the scale of the model. a. 4 in
Scale of the model is found to be 1 : 30 using the ratio method.
A model of a car is 4 inches long.
The actual car is 10 feet long.
4 in. = 10 ft. ( since given )
Divide both sides by 4, we get
∴ 1 in. = 2.5 ft.
We use the ratio here to compare the lengths of the actual car and its model.
A ratio scale is a quantitative measurement scale that is used to compare numbers.
The model is 4 inches long while the actual car is 10 feet long.
One foot is equal to 12 inches. Therefore the car in terms of inches is:
10 feet × 12 inches = 120 inches
The ratio scale is the length of the model of the car : length of the actual car
= 4 : 120
= 1 : 30
Therefore the scale of the model is 1: 30.
Learn more about the ratio scale here :
https://brainly.com/question/13770371
#SPJ4
the 7th-grade class wants to collect empty soda pop cans to earn $50.00. If pop cans earn $0.25 per pound how many cans will they need to collect to earn the $50.00?
200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.
Is the British pound?The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.
What makes something a "pound"?The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.
To know more about pound visit:
https://brainly.com/question/29181271
#SPJ1
Solve for x.
17 = -4n – 7
4
6
-6
28
How to do this numerical problem
762÷4
The step function f(x) is graphed
What is the value of f(-1)?
0-3
O-1
ОО
0 1
The value of f(-1) in the graph is 1.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The graph leads to the following finding:
The values of f(-1) for x = -1 are -1 and -3.
The function does, however, have a closed circle at f(-1) = 1.
The function has an open circle at f(-1) = -3.
A closed circle represents inclusive principles.
Hence, the graph's value for f(-1) is 1.
Learn more about functions here:
brainly.com/question/13136492
#SPJ7
find the area of the figure sides meet at right angles 8 cm, 3cm, 4cm, 5cm, 9cm
Answer:
umm is it a quadrilateral
Step-by-step explanation:
Answer:
if it's 8cm, 3m, 4cm, 5cm, and 9cm it's probably a quadrilateral
Write the equation for the graph below:
See attached image.
The equation for the graph above is y = 5sin(2x/3).
What is a sine wave?In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.
Mathematically, a sine wave can be represented or modelled by this mathematical equation:
y = asin(bx)
Where:
a represents the amplitude of a sine wave. b represents the periodicity.Based on the graph of this sine wave, we have:
Amplitude, a = 5.
Periodicity, b = 2π/period = 2π/(3π) = 2/3
Therefore, the required sine wave function is given by;
y = asin(bx)
y = 5sin(2x/3)
Read more on sine function here: https://brainly.com/question/12150120
#SPJ1
Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?
Answer:
3,075
Step-by-step explanation:
The scale on a map is 1 :50000.
The area of a field on the map
is 1.2square centimetres.
Calculate the actual area of the field in square kilometres.
Answer:
The actual area of the field in square kilometers is \(30000000 km^2\)
Step-by-step explanation:
Scale : 1 cm = 50000 km
Area of field on map = \(1.2 cm^2\)
Now , 1 cm = 5000 km
\(1 cm^2 = (5000 km)^2\)
We are supposed to find the actual area of the field in square kilometers.
So, the actual area of the field in sq. km =\(1.2 \times (5000)^2\)
Actual area of the field in sq. km \(=30000000 km^2\)
Hence the actual area of the field in square kilometers is \(30000000 km^2\)
what do you think the motion is?
what are the examples that you know about?
Answer:
I think its just like speed or feelings for me
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
For more questions on Pythagorean theorem, click on:
https://brainly.com/question/231802
#SPJ8
Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?
60% of 45 would be 27
He pays his parents $27 each week
Divide 162 and 27
162/27=6
It will take 6 weeks for him to pay back his parents
You are the only bidder in an online auction of a nintendo wii system with games and accessories. The seller has set a secret reserve price (the minimum price she is willing to accept for the wii). Assume that the secret reserve price x is uniformally distributed between $240 and $320.1) Height of the probability density function f(x) varies with x as follows (round to four decimal places). 240 ≥ x ≥ 3202) You enter a bid of $280 for the wii. What is the probability that you'll win the auction?3) What is the mean secret reserve price?4) What is the standard deviation of the above question?5) You enter your bid of $280 and see that the seller's reserve price has not been met. You enter a new bit of $300. Now what is the probability that you'll win the auction?
Answer:
1. 1/80 = 0.0125
2. 1/2 = 0.5
3. 280
4. 23.09
5. 1/2 = 0.5
Step-by-step explanation:
1. height of probability density function
\(\frac{1}{320-240} \\= \frac{1}{80}\)
= 0.0125
2. probabilty that you will win the auction given a bid of 280
= \(\frac{280-240}{320-240} \\=\frac{40}{80} \\= \frac{1}{2}\)
3. mean secret service price
\(\frac{320+240}{2} \\=\frac{560}{2} \\= 280\)
4. the standard deviation of the above
= (320-240)/12^1/2
= 23.09
5. with a new bid of 300 dollars, probability you will win auction
= [(300-280)/(320-240)]/[(320-280)/(320-240)
= (20/80) / (40 /80)
= 0.25/0.5
= 0.5