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
There are 5 1/4 yards of silk in a roll. If it takes 3/4 of a yard to make one designer scarf, how many scarves can be made from the roll?
so you do 5 1/4 minus 3/4 and then you get your awnser
Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?
Answer:
she needs 6 containers.
Step-by-step explanation:
1 pound goes into each container. 6/1=6 so she needs 6 containers.
1/3x + 2y =4 x + y =-3
Answer:
x = -9/23 or y = -33/23 = -1 10/23
Step-by-step explanation:
Please mark brainliest.
Answer:
x= -9/23
y= -3/33
Step-by-step explanation:
Is 9.78778777... a rational or irrational number?
The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
The given decimal number is 9.78778777....
We need to check whether the given decimal number is a rational or irrational number.
What are rational and irrational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.
Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
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Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
Write the equation for each graph below.
Answer:
The first one is 3x+1
The second one is 3/4x - 2
Step-by-step explanation:
Look where the line intersects then count the dots to where the next point is.
Hi! Solve for x and y.
Answer: 14x -8= -112
Step-by-step explanation:
HELP ASAP!!
the questions are in the picture
Answer:
1. Y≤2x-4
2. Yes, since its a solid line it includes points on the line
Step-by-step explanation:
Answer: y [tex]\leq[/tex] 2x - 4
Formula is y = mx + b
m is the slope and b is the y-intercept.
Yes its a solution because the line passes through the point (2,0).
Mark me brainllest :D
If airpane flies at an average speed of 7.5miles per minutes in 1 1/2 hours it will have flown
Answer:
The plane will have traveled 675 miles in 1 1/2 hours.
Step-by-step explanation:
Ok so there are 90 minutes in 1.5 hours and since it travels 7.5 miles per minute to get the total: 7.5*90=675.
The sum of the speeds of two trains is 717.4 miles per hour. If the speed of the first train is 4.6 miles per hour faster than that of the second train, find the speed of each
Answer:
The second train speed is 356.4 miles per hour
And, the first train speed is 361 miles per hour
Step-by-step explanation:
The computation of the speed of each train is as follows
Given that
The Sum of the speed of two trains is 717.4 miles per hour
Let us suppose the second train speed be x
So for the first train, the speed is x + 4.6
Now the equation is
x + x + 4.6 = 717.4
2x + 4.6 = 717.4
2x = 717.4 - 4.6
2x = 712.8
x= 356.4
Therefore the second train speed is 356.4 miles per hour
And, the first train speed is = 356.4 + 4.6 = 361 miles per hour
There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?
Answer:
1) Weed-Hand (the 3rd option)
2) y=63x (the 2nd chose option)
3) $1,512.00 ( the 1st option)
Step-by-step explanation:
i just did it on Edg. i hope this was helpful
Answer:
1) Weed-Hand (the 3rd option)
2) y=63x (the 2nd chose option)
3) $1,512.00 ( the 1st option)
Step-by-step explanation:
u+3.65=8.33 solve for u.
Answer:
Use an algebra calculator ;)
Step-by-step explanation:
it always works for me
Answer: u =4.68
Step-by-step explanation:Move all terms not containing u to the right side of the equation
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1
Find the shortest distance from point A to the given line.
y = 3x +1 ; A (3,0)
What is the shortest distance from point A to the line?
Step-by-step explanation:
please i work on by paper worksheet, see it
how can i work it
There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?
Please help
I believe it is 7 kids who like cats.
Put the following numbers in order from least to greatest.
1/4 1/8 1/2
Answer:
1/8 1/4 1/2
Step-by-step explanation:
i hope it will help you
Step-by-step explanation:
1\8 1\4 1 \2
A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.
Answer:
A
Step-by-step explanation:
The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!
In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?
Answer:
150 degrees
Step-by-step explanation:
180-20-10
Answer:
10 degrees
Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.
Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.
a. calculate the amount Scott spends each month on groceries
b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)
help plss
Answer: i don’t know this anwser but pls give me points I’m sure another person will give u something
Step-by-step explanation:
PLEASE HELP PIC DOWN BELOW 8th GRADE MATH
Answer:
A) 1/5 * 10
Step-by-step explanation:
1/5 / 1/10 = Time it will take to fill up
=> 1/5 * 10 = Time it will take to fill up
=> 1*2 = Time it will take to fill up
=> 2 = Time it will take to fill up
If my answer helped, kindly mark me as the brainliest!!
Thanks !!
What is the value of k?
k=
m
Done
Intro
DOOODDOOO
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
All of the triangles are similar, so the ratio of short side to long side is the same for all.
4/8 = k/4
k = 16/8 = 2 . . . . multiply by 4 and simplify
The value of k is 2.
_____
Additional comment
By similar reasoning or by the Pythagorean theorem, ...
l = √20 = 2√5
m = √80 = 4√5
Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
What is the decimal multiplier to decrease by 2.7%?
Answer:
2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.
Please help
What is the fraction in decimal form?
7/5
Enter your answer in the box.
Answer:
1.4
Step-by-step explanation:
Thanks plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3
Answer:
im pretty sure every angle is 80 degrees
Step-by-step explanation:
this is my first day in brainly, so im soo sorry if im wrong
PLZ dont ignore me! I need help on this :(
Answer: should be the last answer! to the right.
Step-by-step explanation:
You have 30 coins and the d are dimes and q are quarters
a gas tank holds 13 1/2 gallons when it is 3/4 full. how many gallons of gas does the tank hold when it is completely full? I need the answers
1/4 = 18
Or
Answer = 31.5
Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
Type the numerical answer only
Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)
Answer:
The correct answer is (2,1)
Step-by-step explanation:
The distance, midpoint, and slope are 4√5 , (2 , 1) , 1/2 respectively.
What are the distance, midpoint, and slope between two points?For any two points A( x₁ , y₁ ) B( x₂, y₂) the distance, midpoint, and slope are given by: 1) [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
2) M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }
3) m= y₂ - y₁ / x₂ - x₁
Given here the points A(-2,-1) and B(6,3)
substituting the values we get,
1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]
[tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]
[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]
[tex]d =4\sqrt {\left5 }[/tex]
2) M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2 }
= (2 , 1)
3) m = { (6 - (-2) / (3 - (-1)) }
= 1/2
Hence, distance, midpoint, and slope are 4√5 , (2 , 1) , 1/2 respectively.
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