Given that angle ABC=65° and angle BCD=105°. Is it possible (consider all cases): that a)Line AB is parallel to line CD. and b) Line AB is parallel to line CD.
Answers
Answer:
No
Step-by-step explanation:
With the given angle measures, the angle between AB and CD is either 10° or 40°. AB and CD cannot be parallel.
Answer:
No
Step-by-step explanation:
Since BC is common line section, in order to have AB parallel to CD, angles ABC and BCD must be equal.
As ∠ABC ≠ ∠BCD AB and CD can not be parallel
The answer is no
Related Questions
PLEAE ANS IT FAST PLESE
Answers
Answer:
[tex] \frac{2}{ {x - 1}^{2} } - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{2}{x + 1} = 0[/tex]
[tex] \frac{2 - 2(x - 1)}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{2 - 2x + 2}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{4 - 2x}{(x + 1)(x - 1)} = 0[/tex]
[tex]4 - 2x = 0(x + 1)(x - 1)[/tex]
[tex]4 - 2x = 0[/tex]
[tex] - 2x = - 4[/tex]
[tex]x = \frac{ - 4}{ - 2} [/tex]
[tex]x = 2[/tex]
Answer:2
Step-by-step explanation: i willn ot provide step by step cuz its a waste of my time becasue it is easer to just give the anwser althou i know it will not help you learn but it faster lets not lie we all just using this to anwser test/quiz questions
find the value of y in the given ratio 9y=3:5
Answers
Answer:
y=15
Step-by-step explanation:
im guessing you meant 9:y = 3:5
(9*5)/y = 15
Which situation is best modeled by the equation 11 + x=28
Answers
Answer:
1
Step-by-step explanation:
First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28
Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.
The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28
Answer:
The first choice
Step-by-step explanation:
The grade appeal process requires that a jury be structured selecing eight individuals randomly from a pool of 12 students and 12 falculty.Whai is the probability of selecting all students
Answers
Answer:
0.07% probability of selecting all students
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the jury is selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
What is the probability of selecting all students?
Desired outcomes:
8 students from a set of 12. So
[tex]D = C_{12,8} = \frac{12!}{8!4!} = 495[/tex]
Total outcomes:
8 people from a set of 12+12 = 24. So
[tex]T = C_{24,8} = \frac{24!}{8!16!} = 735471[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{495}{735471} = 0.0007[/tex]
0.07% probability of selecting all students
Which is the best estimate for the percentage of the attendance at Yamabushi Club being women? HHHHHHHHHEEEEEEEEEEEEEELLLLLLLLLPPPPPPPPP
Answers
Answer: D
Step-by-step explanation:
The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).
To make a batch of four dozen cookies, Denis needs 1 3/4 cups of four, 1 cup of sugar, and 1/3 cup of milk. Calculate the amount of each ingredient that Denis needs to make 12 dozen cookies
Answers
Answer:
Flour = 5 1/4 Cups
Sugar = 3 Cups
Milk = 1 Cup
Step-by-step explanation:
4 Dozens = Respectively 1 3/4, 1, and 1/3 Cups -->
4(3) = 12 Dozens --> Otherwise A Gross
--> Multiply the formula by 3
7/4 x 3 = 21/4
1 x 3 = 3
1/3 x 3 = 1
Convert to a mixed number
Thus You have your answers
Hope this helps!
QUICK ANSWER PLEASE Using only one variable, and write an algebraic expression, equation, or inequality for each (don’t solve): A. Four less than twice a number B. The sum of two consecutive integers C. Twenty is at most six more than a number
Answers
Answer:
Step-by-step explanation:
A. 2x-4
B. x+y
C. x+6 ≤20
The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways can they choose three booths from a selection of nine? A 42 B 84 C 508 D 814
Answers
Answer:
Option B
Step-by-step explanation:
Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.
[tex]\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B[/tex]
Hope that helps!
Answer:
B. 84 is correct.
I did the quiz.
1. A population of lab rats is going to be increased by 3 rats a month. If it costs $3.50 to
care for each rat a month and there were 2 rats to begin with in the lab. (Assume all
rats survive lab work)
a. Create a formula that would represent the population of lab rats in month n.
b. How much will the lab be paying for the rats after 10 months?
C. After how many years will the lab rats population reach 326?
Answers
Answer:
a. p(n) = 3n -1
b. $101.50
c. 9 years
Step-by-step explanation:
a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:
for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.
The usual formula for the n-th term of an arithmetic sequence applies:
a[n] = a[1] +d(n -1)
a[n] = 2 +3(n -1) = 3n -1
In month n, the population of lab rats is ...
p(n) = 3n -1
__
b. After 10 months, the population will be ...
p(10) = 3·10 -1 = 29
At $3.50 per rat, the cost will be ...
29 · $3.50 = $101.50
__
c. We want to find for p(n) = 326.
326 = 3n -1
327 = 3n
109 = n
Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.
I WILL MARK YOU BRAINLIEST!!!! PLZ HELP
Answers
Answer:
C. G(x) is a negative number with a small absolute value
Step-by-step explanation:
As x increases, G(x) goes towards 0 from the a negative quadrant.
How do you tell the difference between a inclusive data set probability and a exclusive data set probability?
Answers
Answer:
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
Step-by-step explanation:
Change the unit of length.
1yd 1 ft = _____ yd
Answer Choices
A. 1 1/3
B. 1 1/12
C. 1 1/2
D .1 1/6
Answers
Answer:
A.
Step-by-step explanation:
There are 3 ft in a yd. That means if we have 1 ft left over, then we have 1/3 yd left over. Add that to our 1 yd and we get 1 1/3 yds
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
Answers
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
What is the midpoint of the segment shown below ?
Answers
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
You and your friend drive toward each other. The equation 50h=190−45h represents the number h of hours until you and your friend meet. When will you meet?
Answers
Answer:
The answer is 2 hours later.
Step-by-step explanation:
In order to find how many hours you and your friend meet, you have to solve the equation to find h :
[tex]50h = 190 - 45h[/tex]
[tex]50h + 45h = 190[/tex]
[tex]95h = 190[/tex]
[tex]h = 190 \div 95[/tex]
[tex]h = 2[/tex]
Someone please please help me it’s Algebra
Answers
Answer:
A shift to the right 8 units
Step-by-step explanation:
Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.
Select ALL the correct answers. A supermarket is testing brands of microwave popcorn. For each brand, they recorded the percentage of corn kernels in a package that popped in the recommended cooking time. Let A be the data set of percentages listed below. A = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91} The supermarket then realized they missed a brand. When the new brand was cooked, only 74% of its kernels popped. Let B be the data set of percentages for all 11 packages, including the package where the least kernels popped. Select the statements that are true. The mean of A is the same as the mean of B. Including the percentage for the package where the least kernels popped causes the center of the data to increase. The standard deviation of B is greater
Answers
Answer:
Option C is correct.
The standard deviation of B is greater.
Step-by-step explanation:
Distribution A is given
A = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91}
Then distribution B is all of distribution A including the percentage for the package where the least kernels popped
B = {74, 91, 94, 89, 93, 87, 92, 86, 87, 92, 91}
Taking the statements one at a time
- The mean of A is the same as the mean of B.
Mean = (sum of variables)/(sample size)
It is evident that most of the percentages in distribution A hover around a consistent spot, hence, the mean too will land around that consistent spot. The mean of distribution A as calculated = (902/10) = 90.2
Mean of distribution B should hover around that spot too, but a new addition of 74 is expected to bring the mean down.
Mean of distribution B = (976/11) = 88 73
Hence, statement 1 is incorrect as the mean of A isn't the same as the mean of B.
- Including the percentage for the package where the least kernels popped causes the center of the data to increase.
The center of the data is synonymous with the mean and it is evident that this centre doesn't increase after including the percentage for the package where the least kernels popped causes the center of the data to increase, rather, it drops from 90.2 to 88.73.
Hence, this statement is false.
- The standard deviation of B is greater
Standard deviation measures how far away from the mean the variables of the distribution are. And since we've established that the variables of distribution A hover around a spot, hence, the stamdard deviation is expected to be small. But distribution B has all of the variables of distribution A plus a value that is very far away from the Mean (74), hence, it is easy to see that distribution B will have the greater standard deviation. Let us now calculate.
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean
N = Sample size
Standard deviation for distribution A = 2.638
Standard deviation for distribution B = 5.293
Hence we can conclude that this statement is true and the standard deviation of distibution B is greater.
Hope this Helps!!!
Factor x^3 + 2x² + x completely.
Answers
Answer:
x(x+2)^2
Step-by-step explanation:
x^-3 +2x^2 +x
Taking x as common
x(x^2+2x+1)
x[(x)^2+2(x)(1)+(1)^2]
x(x+2)^2
I hope it will help you
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answers
Answer:
Meena's is 5 and her father is 30
Step-by-step explanation:
x+5+6x+5=2x+6x+5
x+6x-2x-6x=5-5-5
-x =-5
x =5 Meena
6*5
=30 Her father's age
Have a good day and stay safe!
A rectangle has perimeter P, length 1, and width w. Which of the following represents lin terms of Pand w?
O I = P-w
O I = (2P-W)/2
O I = (P-2w)/2
O I = 2P-2w
Answers
i rlly need help on this guys
Answers
Answer:
The last option
Step-by-step explanation:
You can tell by looking at the title of the x-axis. The domain is all x-values. So, the domain are the number of months.
What is the value of x?
Answers
Answer:
x = 155
Step-by-step explanation:
155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel
x = 155
Solve 2x + 1 2x - 6 this is the second question please help
Answers
Answer:
No solution
Step-by-step explanation:
Either you set them equal to each other or use system of linear equations, the answer will be no solution. That is because these 2 lines are parallel.
If the question is 2x + 1 < 10
Step 1: Isolate x
2x < 9
Step 2: Divide both sides by 2
x < 9/2
x < 4.5
ANSWER QUICKLY! Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. (QUESTION!!)
--->Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Answers
Answer:
y= -2/3x+490
slope: -2/3
y-intercept: 490
Step-by-step explanation:
Y-intercept form is y=mx+b, so you would first subtract 2x from both sides to get 3y= -2x+1,470. Then you divide both sides by 3, to get y= -2/3x+490. -2/3 is in the place of m, so it is the slope, and 490 is in the place of b, so it is the y-int.
Answer:
2x+3y =1470
slope intercept form
y=mx+b
2x+3y =1470
subtract 2x from each side
3y = -2x+1470
divide by 3
y = -2/3 x +1470/3
y = -2/3x +490
slope = -2/3
y intercept = 490
Please help.! Which of the following show an element of the sample space for first shooting a basketball and then rolling a die? (X = Make, O = Miss)
Check all that apply.
O A. X1
O B. 06
O C. 2x
O D. X6
O E. X7
O F. XH
Answers
Answer:
A, B, and D
Step-by-step explanation:
E is discarded, since the number 7 does not exist on a die.
F is discarded because there are no letters in a die
C is discarded because the elements are placed backwards
Answer:A
Step-by-step explanation:
why are parallel lines considered to be parallel ? explain
Answers
Answer:It is what it is
Step-by-step explanation:
Answer:
Parallel lines do not intersect.
Parallel lines are like an equal sign
========================
They go Straight across
While perpendicular lines intersect.
A lot of squares are parallelograms, they only have parallel lines.
Hope this helps
~ヾ(・ω・)
Consider this expression and the steps to evaluate it. 45(−2)9 48(−2)3 1. Apply the quotient of powers: (−2)a 4b 2. Evaluate powers: c d
Answers
Answer:
a = 6
b = 3
c = 64
d= 64
Step-by-step explanation:
1. Apply the quotient of powers:
[tex](-2)^a / 4^b[/tex]
In the given expression:
[tex]4^5(-2)^9/4^8(-2)^3[/tex]
base same then the powers are subtracting if the bases are in numerator and denominator
i.e [tex]a^m/a^n = a^{m-n}[/tex]
Solving:
[tex]=(-2)^{9-3}/4^{-5+8}\\=(-2)^6/4^3[/tex]
therefore, the values of a and b are: a = 6
b = 3
2. Evaluate Powers
c/d
We have
[tex](-2)^6/4^3[/tex]
When power is even negative sign changes into plus sign
64/64
Therefore, we get the values of c and d
c = 64
d= 64
Answer:
a = 6
b = 3
c = 64
d= 64
Step-by-step explanation: i got it right
2y
y2 + 2y + 1
+
y2 + 7y + 6
Answers
Answer:
= 2y^2+18y+6/ y^3+8y^2+13y+6
Step-by-step explanation
Answer:
2(y^2+9y+3 / (y+1)^2(y+6)
Step-by-step explanation:
To solve this -->
Fraction --> Find the LCD -->
Combine all
I. Work out the following Questions clearly and neatly
1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and the
altitude is 12cm, then find
the length of CD
b. the perimeter of the trapezium
the area of the trapezium
2. In a rectangular prism where length, width and height respectively
are 7cm, 5cm and 10cm. Then calculate the following
a perimeter of the upper base.
b. the sum of the perimeters of the bases.
c. the area of the lower base.
d. the sum of the areas of the bases.
e. the area of one of the larger lateral faces.
f. the area of one of the smaller lateral faces.
g. the areas of the lateral faces(AL).
h. the total surface areas of the prism(AT).
i. the volume of the prism.
If a regular polygon has ten sides, then find
number of diagonals formed from one vertex.
b. number of triangles formed.
C. number of diagonals formed from each vertex.
d. sum of all interior angles.
e. what is the name of the polygon.
Answers
Answer:
the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school
3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)
Answers
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation: