Answer:
Parallel: AC and DB, BA and CD
Perpendicular: AC and CD, DB and CD, DB and BA, BA and AC
Neither: None
Step-by-step explanation:
Step 1: Find Slopes
Let's first find the slopes of each side of the rectangle, as that will helps us determine which sides are parallel, perpendicular, or neither.
Recall that the formula for finding the slope between two points is [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the two points. To avoid confusion, I will be taking the first point I list as [tex](x_1,y_1)[/tex] and the second point as [tex](x_2,y_2)[/tex].
Slope of [tex]BA[/tex]:
[tex]\frac{-7-(-3)}{-1-(-4)}\\=\frac{-7+3}{-1+4} \\= -\frac{4}{3}[/tex]
Slope of [tex]AC[/tex]:
[tex]\frac{-4-(-7)}{3-(-1)} \\=\frac{-4+7}{3+1} \\=\frac{3}{4}[/tex]
Slope of [tex]CD[/tex]:
[tex]\frac{0-(-4)}{0-3} \\=\frac{4}{-3} \\=-\frac{4}{3}[/tex]
Slope of [tex]DB[/tex]:
[tex]\frac{-3-0}{-4-0} \\=\frac{-3}{-4} \\=\frac{3}{4}[/tex]
Step 2: Determine which sides are parallel, perpendicular, or neither
Now that we found the slopes of the sides, we can determine which sides are parallel, perpendicular, or neither.
Recall that parallel lines have the same slope. [tex]\bf AC[/tex] and [tex]\bf DB[/tex], along with [tex]\bf BA[/tex]and [tex]\bf CD[/tex], have the same slope, so they are parallel. No other pair of sides has the same slope, so these are our only parallel pairs.
For two lines to be perpendicular, the product of their slopes must be [tex]-1[/tex]. [tex]\bf AC[/tex] and [tex]\bf CD[/tex], [tex]\bf DB[/tex] and [tex]\bf CD[/tex], [tex]\bf DB[/tex] and [tex]\bf BA[/tex], and [tex]\bf BA[/tex] and [tex]\bf AC[/tex] [tex]\bf[/tex]meet that criteria, so they are perpendicular. No other pair of sides meets the criteria, so these are our only perpendicular pairs. Hope this helps!
Find the standarddeviation of 125, 136, 150, 119, 150, and 143.
Answer:
S.D=46.04
Step-by-step explanation:
steps are in the picture.
If you have question about it you can ask.Thanks
In a competition, four of the participants have completed their performances. Their scores are 9.61, 9.66, 9.64, and 9.60. The highest score wins. Which score will enable the last participant to win the competition?
9.67
9.65
9.62
9.06
For some reason, the scores your teacher gave you and the answer choices don't match up. I'm not sure why this is. Perhaps some kind of typo. Please double check and get back to me.
K is between Jand M. Lis
between K and M. Mis
between Kand N. If JN = 30,
KM = 8, and JK = KL = LM,
what is MJ?
Answer:
18
Step-by-step explanation:
K is between Jand M. Lis
between K and M. Mis
between Kand N. If JN = 30,
KM = 8, and JK = KL = LM,
what is MJ? Mj is 18
3. What is the length of LM?
Answer:
24[tex]\sqrt{3}[/tex]
Step-by-step explanation:
KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a[tex]\sqrt{3}[/tex]-a
|KL| is given as 48 so 2a = 48 and a = 24
ML is the side length that sees angle measure 60 so it's represented with a[tex]\sqrt{3}[/tex]
since a = 24
a[tex]\sqrt{3}[/tex] = 24[tex]\sqrt{3}[/tex]
The circumference of a circle is 6pi inches. What is the area of the circle
Answer:
B0 A = 9 Pi
Step-by-step explanation:
c = 6 Pi (given)
c = Pi 2r (standard formula)
r = c / (2 Pi)
r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)
So
A = Pi r**2
A = Pi 3**2
A = 9 Pi
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
B
Step-by-step explanation:
we have a formula of volume:
V= 4/3*pi*R^3 = 4/3*3.14*(18/2)^3 = 3052.08
giải pt sin(x^2-4x)=0
Answer:
x=0,2half1?(I'm
not sure)
Please help I have no idea
Answer:
38
Step-by-step explanation:
Put 2 in place of q
(34+18×2)-(5^2+7)
(34+36)-(25+7)
70-32=38
Write parametric equations of the line [tex]-4x+y=-2[/tex]
a. [tex]x=t, y=4t-2[/tex]
b. [tex]x=t, y=-4t-2[/tex]
c. [tex]x=t, y=4t+2[/tex]
d. [tex]x=t, y=-4t+2[/tex]
Answer:
Option a
Step-by-step explanation:
Assign a value to variable x =t
Eq becomes
-4t+y=-2
y=4t-2
Martina bought 19 pounds of sugar for $10. How many pounds of sugar did she get per dollar?
Answer:
1.9 poundsStep-by-step explanation:
To solve this divide the amount of sugar by the number of dollars:
19 pounds / 10 dollars = 1.9 pounds per dollarPer 10dollar she brought=19pounds
Per dollar
[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]
Write in decimals[tex]\\ \sf\longmapsto 1.9pounds[/tex]
what is the area of the composite shape?
Answer:
the ...ha answer is =99 in.^3
A school made $880 from ticket sales for the school play. From the ticket sales, $250 were from adult tickets.
Student tickets are $5 each. How many students attended the play?
Answer:
126 Students
Step-by-step explanation:
First, you subtract the money from the adult tickets from the total ($880), that leaves $630.
Since each student ticket is $5, you divide $630 by 5, which equals 126.
So, 126 students attended.
Answer:
126
by-step explanation:
880 is that amount made in total.
250 were adults.
we can subtract that to simplify; 880-250= 630
Knowing that information we can assume the rest of the tickets are students.
5$ each.
5/620
How many 5s go into 630? 126.
Check your answer by multiplying 126 by 5, which = 630.
630+250=880.
In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat. What percentage of times at bat did Emerson actually hit the ball?
Answer:
Total number of strikeouts:
30 + 40 + 42 = 112Total number of at bats:
90 + 120 + 140 = 350Hits = times - strikeouts:
350 - 112 = 238Percentage:
238/352*100% = 67.61%
What is the only temperature that is the same in Fahrenheit and Celsius?
Answer: -40 °C and -40 °F.
Step-by-step explanation:
Answer:
-40
Step-by-step explanation:
Let the temperature be x which is the same in Fahrenheit and Celsius. Then it must satisfy the Fahrenheit and Celsius conversion formula which is (Fahrenheit-32)*(5/9)=Celsius
x=(x-32)*(5/9)
9x=5x-160, x=-40
On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.
Find the mean travel time for these students.
4, 11, 14, 9, 4, 8
10.5125 rounded to the nearest cent plz help me ty <3
Answer: your answer should be 10.5130
Step-by-step explanation:
Write 0.0406 in scientific notation.
Answer:
4.06×10^-2
hope that helps uh..☺
Answer:
Ans; 0.0406 = 4.06 ×10–²
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time. A random sample of 7 parts produced by this machine is chosen. Find the probability that more than 1 of these parts are defective.
Using the binomial distribution, it is found that:
0.3677 = 36.77% probability that more than 1 of these parts are defective.
-----------------
For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of a success.
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.
This means that [tex]p = 0.18[/tex]
A random sample of 7 parts produced by this machine is chosen.
This means that [tex]n = 7[/tex]
Find the probability that more than 1 of these parts are defective.
This is:
[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]
In which
[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]
[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]
Then
[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]
[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]
0.3677 = 36.77% probability that more than 1 of these parts are defective.
For more on the binomial probability distribution, you can check https://brainly.com/question/15557838
If SP = Rs 100 and CP = Rs 800 find profit %.
Answer:
c
Step-by-step explanation:
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 1 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
5/12Step-by-step explanation:
Number cube:
Numbers greater than 1 → 5 options out of 6Coin:
Heads → 1 out of 2Required probability:
P(>1 & H) = 5/6*1/2 = 5/12Answer: Probability of rolling a number more than one: 5/6
Probability of heads: 1/2
Probability of both: 1/2 + 5/6 = 4/3
Step-by-step explanation:
Find the area of the shape. Kahn Academy
Oh
Answer:
84.78 units²
Step-by-step explanation:
First we must calculate the total area of the circle :
A = pi.r²
= 3.14×36
So total area = 113.04 units²
Then we must divide this area by 4 and subtract it form the total area
113.04÷4 =28.26
The area of the shape = 113.04-28.26
= 84.78 units²
Solve for x : 2|x-1|+5<13
Hi there!
2|x - 1| + 5 < 13
Begin by subtracting 5 from both sides:
2|x - 1| < 8
Divide both sides by 2:
|x - 1| < 4
Find both the positive and negative solutions:
x - 1 < 4
x < 5
-(x - 1) < 4
-x + 1 < 4
-x < 3
x > -3
[tex]Hello[/tex] [tex]There![/tex]
Let's solve your inequality step-by-step.
[tex]2(|x-1|)+5<13[/tex]
Step 1:
You must add -5 both sides.
[tex]2(|x-1|)+5+-5<13+-5[/tex]
[tex]2(|x-1|)<8[/tex]
Step 2:
You must divide both sides by 2.
[tex]\frac{2(|x-1|)}{2}[/tex] [tex] \leq \frac{8}{2}[/tex]
[tex]|x-1|<4[/tex]
Step 3:
Solve the Absolute Value.
[tex]|x-1|<4[/tex]
We know that x−1<4 and x−1>−4.
[tex]x-1<4[/tex] Condition 1.
[tex]x-1+1<4+1[/tex] (Add 1 to both sides)
[tex]x<5[/tex]
[tex]x-1>-4[/tex] (Condition 2)
[tex]x-1+1>-4+1[/tex] (Add 1 to both sides)
[tex]x>-3[/tex]
[tex]ANSWER![/tex]
[tex]x<5[/tex] [tex]and[/tex] [tex]x>-3[/tex]
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer football?
Answer:
.14
Step-by-step explanation:
The relative frequency that favors football is around 0.14, or 14%.
Given that Phoebe took a survey of her classmates' favorite sport.
We need to find the relative frequency of survey members who prefer football,
Preferred sports =
Football baseball basketball tennis others total
4 5 8 7 4 28
To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.
According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.
Relative Frequency = Number of people who prefer football / Total number of respondents
= 4 / 28
≈ 0.14
Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.
To know about frequency distribution, here
brainly.com/question/1094036
#SPJ4
Write an algebraic expression for the word phrase: the quotient of r and 12. Or. 12 O p=12 Or- 12 h Ort 12
Answer:
r÷12
Step-by-step explanation:
quotient means division
r÷12
answer for brainlyyyyyy
PLSSS
[tex]\huge\mathsf\green{ANSWER}:—[/tex]
[tex]option \: \: c \: \: \: \frac{3}{4} \: is \: the \: correct \: option[/tex]
Know more :-Rational numbers are numbers which can be represent in the form of p/q where p and q are integers and q≠0 that's why 3/4 is the correct option
plz mark me as brainliest answerIf f(x) = -5x – 4 and g(x) = -3x -2, find (f+g)(x).
Answer:
-8x -6
Step-by-step explanation:
f(x) = -5x – 4
g(x) = -3x -2
(f+g)(x) = -5x – 4 + -3x -2
Combine like terms
= -8x -6
On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
For x between -1(inclusive) and 0, y takes a constant value of -1.
For x between 0(inclusive) and 1, y takes a constant value of -2.
For x between 1(inclusive) and 2, y takes a constant value of -3.
Additionally:
At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.
For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064
Answer:
Step-by-step explanation:
1. (1, 3); (2, 3)
2. (0, 0) (1, 0)
3. (-1, 1) (0,0)
10. I purchased a hair-dryer for 5,400 including 8% VAT. Find the price before VAT was added.
Answer:
4968
Step-by-step explanation:
432 is 8% of 5400 and after deducting 432 we get 4968.
Multiple choice: what is the answer?
Answer:
200kg wt is your answer I think.
9514 1404 393
Answer:
A. 10√7 kg wt
Step-by-step explanation:
The magnitude will be that of the long diagonal of a parallelogram that has sides 10 and 20. It must be more than 20, and cannot be 30 or more. That only leaves one answer choice:
10√7 kg wt
4. Which of the following is true?