What is the relationship between corresponding angles if parallel lines are cut by a transversal 
_ Linear pair
_Congruent
_Supplementary
_Complemantary
Answers
Answer:
(b) _Congruent
Step-by-step explanation:
You want to know the relationship between corresponding angles where a transversal crosses parallel lines.
Corresponding anglesThe Corresponding Angles theorem tells you that corresponding angles at a transversal are congruent if and only if the lines are parallel.
Corresponding angles are congruent.
__
Additional comment
This fact is the basis for the simplest method of constructing a line parallel to a given line through an external point. (A transversal is drawn, and the angle is copied, making congruent corresponding angles.)
All of the other angle relationships at a transversal can be derived from this one using the usual relationships of linear pairs and vertical angles.
Related Questions
(5, 10.5) and (25, 12.5 slope
Answers
Answer:
Step-by-step explanation:
slope = (difference of y-coordinates)/(difference of x-coordinates)
= (12.5-10.5)/(25-5)
= 2/20
= 1/10
A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?
Answers
Answer:
The motorist's rate is:
rate = distance / time
where distance is measured in kilometers and time is measured in hours.
We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:
rate = distance / time = 228 km / 6 hours = 38 km/hour
To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:
time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours
Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.
Merrisa is booking a holiday costing £660.
She needs to pay a deposit of of the total cost of the booking
How much does she pay?
Answers
The amount of money she will have to pay for booking of the holidays would be = £220
How to calculate the amount ofr deposit?The total amount of money that will cost Merrisa for booking of holidays = £660
The fraction of the total cost that she needs to deposit = 1/3
Therefore, the actual amount that she needs to deposit = 1/3 of £660
= 1/3× 660
= £220
Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
A rectangle has a perimeter of 46 inches.The width of the rectangle is 7 inches.What is the length of the rectangle,in inches
Answers
Answer:
74 inches
Step-by-step explanation:
87
Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answers
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.
Answers
The perimeter of the triangle below is 54 units. Find the value of y.
Answers
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
WILL GIVE BRAINLIEST HELP ASAP
Find the surface area of a cylinder that has a height of 65 feet and a radius of 26 feet.
14,866.01 ft2
15,866.01 ft2
16,866.01 ft2
17,866.01 ft2
Answers
Answer: A). 14,866.01 ft^2
Step-by-step explanation:
A=2πrh+2πr2=2·π·26·65+2·π·262≈14866.01644ft²
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: Should be 150mm
Step-by-step explanation:
Find the surface area of each figure. Round answers to the nearest tenth, if necessary
2 mm-
2/5 mm
10 mm
3 mm
O
75 mm2
150 mm2
92 mm2
86 mm2
Somebody help me ??!!
Answers
*this answer i made was incorrect please avoid it*
Answer:
15
Step-by-step explanation:
Pythagoras theorem
a^2+b^2=c^2
12*12=144
9*9=81
144+81=225
sq root of 225 = 15
The number of patients who reported that a new drug had relieved their pain. discrete or continuous?
Answers
Answer:
Continuously
Step-by-step explanation:
Continuously
The first number in a pattern is 84. The pattern follows the rule divide by 2 then add 10. Find the next three terms and then describe the pattern
Answers
Answer:
84
34
27
Step-by-step explanation:
This question is rlly confusing
Answers
Answer: C.
Step-by-step explanation:
To find the discounted value off of a full price, you can multiply the full price by the discount percentage to find the discount:
250 * 0.20 = 50
The discount is 50 dollars.
The laptop costs $250, but with the discount of $50, it is now for sale for $200.
The correct answer is C.
Juan randomly surveys students in the seventh grade to learn about their favorite type of music. Of 30 respondents, 8 liked to listen to rap mus Part A Based on Juan's data, how many of the 150 students in seventh grade like to listen to rap music?
Answers
Answer: 40
Step-by-step explanation:
150 / 30 = 5
8 x 5 = 40
40 of 150 students is equivalent to 8 of 30 students.
Let X1 to be normally distributed with mu1 and o^2 1 be the random variable denoting the first normal population and
X2 also normally distributed with mu2 and o^2 2 the random variable denoting the second normal population. The two populations (random variables) X1 and X2 are independent. If X1 is the sample mean in random samples of size n1 from the first population, and X2 is the sample mean in random samples of size n2 from the second population, then X1 and X2 are independent random variables. The difference of the two-sample means, X1 - X2, is also a random variable. Its probability distribution is called the sampling distribution of the difference between the two-sample means.
(a) Using the above information, and your knowledge on sampling distributions and linear combinations of independent random variables, find what is the sampling distribution of the difference between the two-sample means, X1 - X2. What is the expected value (mean) of the difference, E(X1 - Xz), and what is its variance, V (X1 - X2)?
(b) By applying the new knowledge that you acquire on part a), answer the following question:
A population random variable X1 has a normal distribution with mean M1 = 29.8 and
standard deviation 01 = 4. Another population random variable X2 has a normal
distribution with mean M2 = 34.7 and standard deviation 02 = 5. X1 and X2 are independent.
Random samples of size n1 = 20 from the first population X1 and samples of size n2 = 20
from the second population X2 are selected. Denote with X1 - X2 the difference between the two-sample means. State what is the sampling distribution of X4 - X2 and calculate its expected value (mean), E (X1 - X2), and the variance, V (X1 - X2).
Answers
The sampling distribution of the difference between the two-sample means, X1 - X2, can be characterized by the following properties:
1. Expected value (mean):
E(X1 - X2) = E(X1) - E(X2) = mu1 - mu2
The expected value of the difference is equal to the difference of the means of the two populations.
2. Variance:
V(X1 - X2) = V(X1) + V(X2)
Since X1 and X2 are independent, the variance of their difference is equal to the sum of their individual variances.
(b) Given the information provided:
For X1:
Mean (mu1) = 29.8
Standard deviation (sigma1) = 4
For X2:
Mean (mu2) = 34.7
Standard deviation (sigma2) = 5
Sample size for X1 (n1) = 20
Sample size for X2 (n2) = 20
To find the sampling distribution of X1 - X2:
Expected value (mean):
E(X1 - X2) = mu1 - mu2 = 29.8 - 34.7 = -4.9
Variance:
V(X1 - X2) = V(X1) + V(X2) = (sigma1^2 / n1) + (sigma2^2 / n2)
= (4^2 / 20) + (5^2 / 20)
= 16/20 + 25/20
= 41/20
= 2.05
Therefore, the sampling distribution of X1 - X2 has an expected value (mean) of -4.9 and a variance of 2.05.
To know more about sampling distribution refer here
https://brainly.com/question/31465269#
#SPJ11
Esmerelda flips a coin anddraws a card. What is theprobability that she gets"heads” and a black card?
Answers
For this problem we have two events given the first one is get a head (H) for the coin and a black card (B).
Let's find the probability for the event H. In a fair coin we can find the probability of obtain heads:
\(P(H)=\frac{Possible\text{ cases}}{total\text{ cases}}=\frac{1}{2}\)Now let's find the probability of obtain a black card. In a standard deck we have 52 cards, 26 red and 26 black. So then the probability of obtain a black card is:
\(P(B)=\frac{26}{52}=\frac{1}{2}\)Since we want the probability that she gets"heads” and a black card we can use the following rule assuming independence between the events:
\(P(H\cap B)=P(H)\cdot P(B)=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}\)Plsssssssssssssssss help fast
Answers
Answer:
yes tht right pls mark me branilest
Area of a trapezium＝1/2×(upper base＋lower base)×height
Area＝1/2×(20＋25)×15＝337.5
Hope my answer helped u :)
Gate posts are parallel and m<4 =47, what is m<1
Answers
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
Learn more about parallel lines on
https://brainly.com/question/24607467
#SPJ1
Out of a group of 60 people, 24 are left-handed. Which decimal represents the fraction of the people who are left-handed?
0.40
0.24
0.36
0.20
Answers
Answer:
0.40
Step-by-step explanation:
fraction of left-handed to total in the group will be
24/60
cut down to 2/5
converting to decimal, it becomes 0.40
(05.03 LC)
The equation shows the relationship between x and y:
y = −4x + 9
What is the slope of the equation? (5 points)
Group of answer choices
−9
−4
4
9
Answers
Exercise 1: ABC is a triangle such that AB=5cm. A=50°and AC=5cm 1) Construct the triangle ABC. 2) What is the nature of the triangle ABC? Justity. 3) Calculate ABC and ACB. 4) Draw the height [AH) issued from A to [BC]. 5) a. Calculate BAH and CAH. b. What does [AH] represents for BAC? Justify.
Answers
Answer:
2) Acute triangle, isosceles
3) Both are 65 degrees
4) (diagram)
5) a) both 25 degrees
b) midpoint
Step-by-step explanation:
2) If you're struggling search up "draw a triangle" and you'll find a website that will draw it for you. It will help you get an idea of it looks like and its nature.
3) We know that sides AB and AC are 5cm. So this triangle is an isosceles which makes the 2 remaining angles equal (if you draw a diagram it will be clear)
So:
180-50/2 = 65
ABC and ACB = 65 degrees each
4) Construct the line AH down the middle like in the diagram I drew.
5) a) Since AH is a straight line, we know that the angle AHB will be 90 degrees. After question 3 we also know that angle ABH is 65 degrees.
BAH = 180-90-65
BAH = 25 degrees
CAH = 50 - 25
CAH = 25 degrees
b) AH is the midpoint for BAC because the 2 segments formed are both 25 degrees.
A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.
Answers
Answer: 29.3 feet
Step-by-step explanation:
Given: Elevation of the board from the ground = 12.4 feet
Elevation of the ground from the bottom of the pool = 16.9 feet
Distance from the diving board to the bottom of the pool= (Elevation of the board from the ground) + (Elevation of the ground from the bottom of the pool)
Let d= Distance from the diving board to the bottom of the pool
i.e. d= (12.4+16.9) feet
i.e. d=29.3 feet
Hence, the distance from the diving board to the bottom of the pool=29.3 feet
What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answers
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18
The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path:
A= V2/R
Solve the formula for r.
Answers
Answer:r=v^2/A
Step-by-step explanation: To solve for r means you have to isolate r on one side and put all the other terms on the other. To get r out from under the fraction, multiply both sides by r. This leaves:
A*r=v^2 so to isolate r, divide by A and get:
r=v^2/A.
My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?
Answers
please answer a little quiet
IT is urgent
.Factorize: 4(x-y)^2 -9
.Evaluate : 1001×99
Answers
Answer:
1. (2x - 2y)² - 9
2. 99099
Step-by-step explanation:
We know the a+b formula :
(a-b)² = a² - 2ab + b²
1. 4(x-y)^2 -9
4(x² - 2xy + y²) - 9
4x² - 8xy + 4y² - 9
(2x - 2y)² - 9
2. 1001 × 99
= 99099
1001
× 99 ----------
9009
9009× ----------- 99099
the population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the pop ulation in 30 years? how fast is the population growing at t 30?
Answers
Using the differential equation, the population after 30 years is 760.44.
What is meant by differential equation?In mathematics, a differential equation is a relationship between the derivatives of one or more unknown functions. Applications frequently involve a function that represents a physical quantity, derivatives that show the rates at a differential equation that forms a relationship between the three, and a function that represents how those values change.A differential equation is one that has one or more functions and their derivatives. The derivatives of a function define how quickly it changes at a given location. It is frequently used in disciplines including physics, engineering, biology, and others.The population P after t years obeys the differential equation:
dP / dt = kPWhere P(0) = 500 is the initial condition and k is a positive constant.
∫ 1/P dP = ∫ kdtln |P| = kt + C|P| = e^ce^ktUsing P(0) = 500 gives 500 = Ae⁰.
A = 500.Thus, P = 500e^ktFurthermore,
P(10) = 500 × 115% = 575sO575 = 500e^10ke^10k = 1.1510 k = ln (1.15)k = In(1.15)/10 ≈ 0.0140Therefore, P = 500e^0.014t.The population after 30 years is:
P = 500e^0.014(30) = 760.44Therefore, using the differential equation, the population after 30 years is 760.44.
To learn more about differential equations refer to:
brainly.com/question/1164377
#SPJ4
If you rolled a 6-sided number cube 72 times, how many times would you expect to roll a 5 or a 6?
A 24
B 30
C 36
D 56
Answers
Answer:
A: 24
Step-by-step explanation:
Multiply 72 by 2/6 to find the amount of times you would expect die would roll 2 sides of the die, 24.
Consider the function below.
f(x)=8/x−6
What would be the output if the input is 8?
8/14
8/6
2 1/3
4
Answers
The input is 8, the output of the function f(x) would be -5.
What is the function?
Function is a relationship or expression involving one or more variables. It has a set of input and outputs.
Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet
To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:
f(x) = 8/x - 6
f(8) = 8/8 - 6
f(8) = 1 - 6
f(8) = -5
Hence, if the input is 8, the output of the function f(x) would be -5.
To learn more about function, Visit
https://brainly.com/question/11624077
#SPJ1
x + 2y = 10
y=x-4
Choices are:
(0,4)
(2,6)
(6,2)
(8,0)
Work shown
Answers
