Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are
Answers
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line AB is [tex]\frac{3}{4}[/tex]
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line CD is [tex]\frac{3}{4}[/tex]
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
Answer:
a. they are parallel because their slopes are equal
Step-by-step explanation:
did the review on edge
Related Questions
Micah who is not yet 15 years old, is two years older than DeMonte.
How old is DeMonte?
x = the age of Micah
y = the age of DeMonte
Answers
Answer:
DeMonte is 12
Step-by-step explanation:
If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.
y=1.9x+2.5 what does this equal
Answers
Answer:
x=y+4.4
Step-by-step explanation:
y=1.9x+2.5
y/x=4.4
x=y+4.4
y-intercept : 2.5
derivative : 19/10
8-4x>4-2x solve inequality if u can pls make number line
Answers
Answer:
Step-by-step explanation:
-4x>8
x<-2
-4>-2x
8<x
8<x<-2
Shen and David each washed a car.
• Shen spent 5 minutes washing his car for every 2
• Each boy started washing his car at 4:00 4.
• David finished washing his car at 4:30 PM.
At what time did Shen finish washing his car?
Answers
Step-by-step explanation:
Shen time= 5 min (David time/2 minutes)
David time= 4:30-4:00= 30 minutes
Shren time=5(30/2)=5(15)= 75 minutes
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? show your work
Answers
Answer:
14
Step-by-step explanation:
If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.
7 1/3 ÷ 1/2= 14.6
You cant have .6 of a cupcake, therefore she can make 14 cupcakes.
6th grade math i mark as brainliest
Answers
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.
1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?
Answers
Answer:
Step-by-step explanation:
65% of them are male, obviously, but to figure out what 65% of 320 is, you have to do 320*.65. That gets you 208. The answer is 208
Answer:
65/100×320=208males
Step-by-step explanation:
Henry saw 28 blue, 16 red and 24 white cars drive by his house in 1 hour. What percent of the cars were blue? (Round answer to the nearest percent)
A. 24%
B. 65%
C. 41%
D. 35%
Answers
Answer:
C
Step-by-step explanation:
The percentage is calculated as
% = [tex]\frac{blue}{total}[/tex] × 100%
Total number of cars = 28 + 16 + 24 = 68
number of blue cars = 28, then
% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )
If you answer my last question, I will answer yours :)
Answers
That profile pic is mine for almost everything.
My home email, my school email, EVERYTHING.
Except this
Ms. Holmes decided to water her plants. She had 2 1/2 gallons of water. She gave each plant 1/4 gallon of water. Which expression could be used to determine how many plants Ms. Holmes had?
Answers
Answer:
division
Step-by-step explanation:
i got it right on my test
1. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total
cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Answer
Step 1: 24.95 + 14.95 = 39.90
clercks step
the percent
Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her
error. Explain in writing how to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest hundredth)
Answers
Answer:
Answer:
39.995=40.00
Step-by-step explanation:
0.095 is tax he just added 9.5 he is not correct
Would 7x = 28 represent any geometric proof?
Answers
Answer: yes because the x could be 4 then 7 times 4 is 28 which would make this math sentence true
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
simplify
[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]
a. 5 5/6
b. 5 1/6
c. 5 2/3
d. 5 7/6
Answers
Answer:
[tex]A.5^{\frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\(\sqrt{5})(\sqrt[3]{5})\\To\ simplify\ the\ given\ expression\ we\ may\ use\ the\ following\ two\\ 'Laws\ Of\ Exponents'.\\1.\sqrt[n]{a}=a^{\frac{1}{n}}\\2.m^a*m^b=m^{(a+b)}\\With\ these\ two\ equations\ we\ can\ proceed\ with\ our\ problem:\\Hence\ following\ Law\ 1,\\\sqrt{5}=5^{\frac{1}{2}} \\\sqrt[3]{5}=5^{\frac{1}{3}}\\Hence,\\\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Hence,\\5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Now,\ by\ using\ Law\ 2,\\[/tex]
[tex]5^{(\frac{1}{2}+\frac{1}{3})}\\=5^{(\frac{3+2}{6})}\\=5^{\frac{5}{6}}\\[/tex]
Please help!! Question is in the picture
Answers
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
Please help asap! Please don’t get it wrong! xoxo
Answers
Answer:
Its B
Step-by-step explanation:
Answer:
square root of 130
Step-by-step explanation:
9^2+7^2=c^2
81+49=c^2
130=c^2
C= square root of 130
On Monday, Cathy read 1/6 of her book, and on Tuesday, she read 2/6 of the book. How much has she read
Answers
Answer:
1/2 of her book
Step-by-step explanation:
1/6 + 2/6 = 3/6 = 1/2
Answer:
I think that it is 1/2 of her books
Step-by-step explanation:
Hope this helped have an amazing day!
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answers
Answer:
63.33333333333
Step-by-step explanation:
What is the value of X?
A: 15
B: 27
C: 45
D: 12
Answers
Answer:
D
Step-by-step explanation:
Need answers immediately, thank you in advance!
Answers
Step-by-step explanation:
this is the answer...............
v=u + at
u= 2
a= -5
t = 1/2
Work out the value of v.
Answers
Answer:
V= -1/2
Step-by-step explanation:
You would have to add U+AT to get V
If A=-5 and T=1/2, then -5*1/2= -2.5 (A*T)
Then, adding U (which is 2), gives -.5, or -1/2
ASAP someone please help me step by step so I can understand it better please
Answers
Answer:
Y=6
Step-by-step explanation:
My question is in the picture please give an explanation. Thanks!
Answers
2x-2+3x because u can add 2x and 3x which will be 5x so it will be
5x-2
Hope this helps!!!
HELP ASAP FOR BRAINLIEST
Answers
Answer: i am pretty sure its the first one
Step-by-step explanation:
i don't know for sure
Logically if you think about it, when x is at zero the y-value is also at 0. The number 0 will not find you the amount of wood gathered per hour.
As long as you can connect the hours (x-value) with the amount of wood (y-value) that meets on the line, then you should be able to determine the amount.
I hope that’s not too confusing. If so, send a comment and i can explain it to you further (:
1. The price of the video game was $60.00. Thelprice was reduced by 25%. What was the sale price of the video game? A $15.00 B. $25.00 C. $45.00 D. $75.00
Answers
Answer:
The answer is A. $15.00
Step-by-step explanation:
Take 25% of 60 and that is 15. Please give me brainliest
Answer:
$45.00
Step-by-step explanation:
To find percentage, most start out by dividing the percent by 100:
25 ÷ 100 = 0.25
Then, to find the percentage of 60, we multiply them.
$60 x 0.25 = $15
15 is 25% of 60. However, we're asking the sale price of the video game, not the amount it was reduced. To find this out we subtract the reduced amount from the original number:
$60 - $15 = $45
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Some pencils are to be shared between Grade 7, Grade 8 and Grade 9 students in the
ratio 3:5:6 respectively. If Grade 8 students receive 196 more than Grade 7 students, find
the total number of pencils shared.
Answers
Answer:
1312
Step-by-step explanation:
if grade 8 has 196 more, that means 196 represents two cause 5 is 2 more than 3, so then you divide 196 in half to get 98, then add 196 and 98, so grade 7 gets 294 pencils, the to find how many for grade 8 you take 294 plus 196 and get 460 so grade 8 gets 460, and for grade 9 you add 460 and 98 to get 558, then just add, 294, 460, and 558 and you get 1312. hope this helps
Time (econds)
8. The table shows a person's annual
salary y (in thousands of dollars) after x
years of education beyond high school.
What is the annual salary,
Years of
of the person after Education Salas
8 years of education
beyond high school?
Annual
Answers
Answer:
76 the pattern goes in 12s every two years
Step-by-step explanation:
64 plus 12 is 76
the perimeter of a rectangle is 8x+10.if the length is 2x+8 what is the width?
Answers
Answer:
6x+2
Step-by-step explanation:
Answer:combine your like terms and solve to get the width .
Step-by-step explanation:
BRO CAN ONE PERSON HELP ME WITH THIS QUESTION THIS IS MY LAST QUESTION ON THIS GD TEST PLZ I'LL GIVE BRAINLIEST IF YOU ANSWER RIGHT AND HAVE AN EXPLAINATION.
Solve C=59(F−32) for F
Answers
Answer:
F = C/59 + 32
Step-by-step explanation:
Explain when it is appropriate to use a benchmark percent in solving a problem.
Answers
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME ASAPPPP THANK YOU BRAINLY IF CORRECTTT
Article Il of the U.S. Constitution gives the president the power to:
A. issue executive orders.
B. appoint executive department leaders.
C. impeach leaders in Congress.
D. reject Supreme Court appointments.
Answers
Answer:
A
Step-by-step explanation:
the president can order the military basically
Answer:
A. Issue executive orders
Step-by-step explanation:
Article II Section I states that executive power will be invested in the president during his four year term. Meaning he has the power to issue executive orders.