The following angle relationships can you use to prove that two lines are parallel?
A. supplementary corresponding angles
B. congruent alternate interior angles
C. congruent vertical angles
D. congruent same-side interior angles
Hence proved
What is Angles?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.
In algebra, two lines can be represented as
a and b are constants in y=ax+ b.
(x,y)
on the Cartesian plane, are points.
Let's say two lines are depicted as
y1 = a1 (x + b1) and y2 = a2 (x + b2)
If and only if, the two lines are parallel.
As any line can be parallel to itself, either b1 is not equal to b2 or b1=b2 and a1=a2.
The characteristic of two simultaneous linear equations that have either no solution or an infinite number of solutions, but not exactly one solution, is another approach to define the term "parallel."
The final definition of the attribute of two lines being "Parallel" states that it is only possible for the X and Y axes to not be parallel to one another. It does not demand for the X and Y axes to be orthogonal to one another or that there be any particular angle between them.
This also applies to the situation of N axes.
Additionally, it is not necessary for Space to be Euclidean or for the 'lines' to be rectilinear.
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Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?
Answer:
The answer is below
Step-by-step explanation:
Let the length of the rectangular area be L and W be the width of the rectangular garden hence:
Perimeter = 2(L + W)
There is 100 feet of fencing available which represents the perimeter, therefore:
100 = 2(L + W)
L + W = 100/2
L + W = 50
L = 50 - W
The area (A) = L × W
A = L × W
A = (50 - W) × W
A = 50W - W²
To get maximum area, we find the first derivative of the area and equate to zero
A' = 50 - 2W
50 - 2W = 0
2W = 50
W = 50/2
W = 25 feet
100 = 2(L + W)
50 = L + W
L = 50 - W = 50 - 25
L = 25 feet
To maximize area, the length and width should be 25 feet each
-3a + b when a
=
-4 and b = 9.
Answer:
12+9=21
Step-by-step explanation:
Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
Which cube is formed by folding the pattern?
Answer:
b
Step-by-step explanation:
If you subtract 13 from my number and multiply the difference by -2 , the result is -44." What is 's number
Answer:
n = 35
Step-by-step explanation:
n - 13 x -2 = -44
distribute:
(n x -2) - (13 x -2) = -44
-2n - (-26) = -44
two negatives in front of a number makes it a positive number
so rewrite -2n + 26 = -44
-2n = -44 -26
-2n = -70
n = [tex]\frac{-70}{-2}[/tex]
n = 35
calc check (35 - 13) x -2 = 22 x (-2) = -44
The question is in the picture, you will get 15 points and marked brainiest. I need an answer soon.
please help thank you
Answer:
k=12
Step-by-step explanation:
hope this helps :))
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs. Which relation does not represent a function? * A) { (-2, -3), (1, 3), (3, -3), (5, 3) } B) { (-1, -5), (2, 4), (3, 7), (4, 10) } C) { (-2, 3), (1, 3), (3, 3), (5, 3) } D) { (3, 4), (4, 5), (3, -4), (4, -5) }
Given:
In each of the four relations below, the x values represent inputs and the y values represent the corresponding outputs.
To find:
The relation which does not represent a function.
Solution:
A relation is a function if there exist a unique output for each input.
In options A, B and C, we get unique output for each input.
In option D, we get two outputs y=4 and y=-4 for input x=3.
Since, there exist more than one output values for a single input value, therefore it is not a function.
Therefore, the correct option is D.
5. What is the slope of the line whose equation is
2y = 3x +4
A. 3
B. 2
C. 3/2
D. 2/3
the slop of the line is 2/3, you always have to put x on denominator and y is numerator
definition of congruence: if
Answer:
a statement that two numbers or geometric figures are congruent.
Step-by-step explanation:
Rate me please
Answer:
Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.
Step-by-step explanation:
Select all that apply
Which of the following name a line in the drawing ?
Answer:
I think FC but not sure
Step-by-step explanation:
the respn os that we looc at both sides f the line and see what the letters are
Answer:
DB
Step-by-step explanation:
just did it got it correct
You get a large ice-cream cone for $2.99 and a bottle of water for $1.07. You pay with a 10-dollar bill. How much change will you get back?
Answer:
5.94
Step-by-step explanation:
2.49
+1.07
4.06
10.00
- 4.06
5.94
Answer:
$5.94
Step-by-step explanation:
Because
Step one Add $2.99 and $1.07 then you get $4.06
Step two subtract $4.06 and the $10 dollar bill and you get $5.94 and that's you're answer .
Again I like to help people have a nice day!!
WILL GIVE BRAINLIEST PLEASE HELP ASAP!!!!
Answer:
I think the answer is C.
Answer:
Pretty sure it's A because if you divide rational by irrational it become irrational.
Step-by-step explanation:
Just like positive and negative numer!
24g^3 + 10 +7g^5 - g^2 in standard form
Answer:
7g^5+24g^3-g^2+10
Step-by-step explanation:
On one play, a football team gained 9 yards. On the next play, the football team received a penalty
of -10 yards.
Answer:
If your asking what the sum of the yards is it would be -1
Step-by-step explanation:
First I would make a number line from -10 to positive 10. Then from zero add nine. Then subtract 10 from 9. Since 10 is bigger than nine it would be a negative number. Hope this helped.
1. Find the GCF:
a. 16 and 54
b. 25 and 30
Is 0.875 a irrational number
Answer:
no
Step-by-step explanation:
it is rational because it is a terminating decimal
No 0.875 , it is rational It can be expressed as the quotient of two integers.
Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios made up of integers.
rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
No, 0.875 a irrational number.
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I need help please 20 points
Answer:
5^9
Step-by-step explanation:
subtract them. base (5) stays the same
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
Question 2c: Which dog sitting service is better if you need 5 hours of service? Explain your answer PLEASE!
The number x is a two-digit number.
• When x is divided by 9, the remainder is 1.
• When x is divided by 10, the remainder is 3.
What is the remainder when x is divided by 11?
Be sure to explain how you got your answer.
Answer:
x = 73
x ÷ 11 = 73 ÷ 11 = 6.636 or [tex]6\frac{7}{11}[/tex] or ( 6 remainder 7)
Step-by-step explanation:
1. In order to determine the value of x, we will first find a two-digit multiple of 9 that has a unit value of (2)
Multiples of 9 = 18, 27, 36, 45, 54, 63, 72, 81, ...
from the above, the multiple of 9 that has a unit value of '2' is 72 ( 7 tens and 2 units)
2. Next, we will add 1 to the multiple of 9 found in step 1 above, to create a unit value of '3'. This is because when the number is divided by 9, we want to have a remainder of 1, and when the number is divided by 10, and we want to have a remainder of 3
72 + 1 = 73 ( 7 tens and 3 units)
3. Finally, let us divide the number in step 2 above by 10
73 ÷ 10 = 7 remainer 3.
Now the number 73 satisfies the three conditions given in the question:
1) The number x is a two-digit number.
73 is a two-digit number
2) When x is divided by 9, the remainder is 1.
73 ÷ 9 = 8 remainder 1
3) When x is divided by 10, the remainder is 3.
73 ÷ 10 = 7 remainder 3
∴ x = 73
x ÷ 11 = 73 ÷ 11 = 6.636 or ( 6 remainder 7)
HELP PLEASE
Benito drew a graph representing the number of miles he ran and the number
calories he burned. What is the unit rate in calories per mile? 3 4 250 1,000
Answer:
250
Step-by-step explanation:
1000 divided by 4, is 250
The unit rate would be 250 calories per mile which is the slope of the given linear function.
What is the unit rate?The unit rate of a linear function is defined as the slope of the linear function.
The slope is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
The given graph represents the number of miles he ran and the number of calories burned.
Taking two points as per the given graph :(2, 500), (6, 1500)
Let
x₁ = 2, y₁ = 500
x₂ = 6, y₂ = 1500
Substitute values in the formula to get
unit rate = (1500 - 500)/(6 - 2)
unit rate = (1000)/(4)
Apply the division operation,
unit rate = 250
Therefore, the unit rate would be 250 calories per mile
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Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
Answer:
$36
Step-by-step explanation:
Tristan paid $50 for the tickets of the school play and was given $23 as change. The amount Tristan paid for the ticket is given as:
Price for ticket = amount paid - change = $50 - $23 = $27
Price for ticket = $27
Given that the ticket was sold at 25% off. Let x be the original price of the ticket, therefore:
x - 25% of x = $27
x - 0.25x = 27
0.75x = 27
x = 27/ 0.75
x = 36
Therefore the original price of the ticket is $36
Answer:
27.00
Step-by-step explanation:
What is the zero of this linear function?
f(x) = –3x + 3
Answer:
-3x + 3 = -9x - x = -9
hope this helps :)
Step-by-step explanation:
A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 0.6 times 38 = 22.8
Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.
Answer:
C
Step-by-step explanation:
Answer:
it b or c
Step-by-step explanation:
Solve the inequality: -7y - 3x < 21
Answer:
x> -7/3y -7
Step-by-step explanation: -7y-3x<21
Step 1: Add 7y to both sides.
−3x−7y+7y<21+7y
−3x<7y+21
Step 2: Divide both sides by -3.
-3x/-3 < 7y+21/-3
x>-7/3y -7
Help this is a major grade help ASAP plzzz 17 points
Answer:
y= 15x+225
Step-by-step explanation:
Answer:
D. y = 15x + 225
Step-by-step explanation:
x would be the amount of prints. y is the total price. So doing this math equation would get you the total price, or y.
The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units
The volume of box at x = 4 is, 100 cubic units
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
The volume of the box is modeled by the function,
⇒ V (x) = 5x² + 5x
Now, At x = 4;
The volume of the box is,
⇒ V (x) = 5x² + 5x
⇒ V (4) = 5 × 4² + 5 × 4
⇒ V (4) = 5 × 16 + 20
⇒ V (4) = 80 + 20
⇒ V (4) = 100 cubic units
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Hello i am a 5th grader and I need some help with a math problem. I would appreciate it if you could help me with it.
The problem is Miguel finishes swim team practice every day at 6:00 P.M. It takes him 15 minutes to get to the pool from his house. What information is needed to find the time at which he starts practice?
A. the time it takes him to get home from the pool
B. the number of hours he stays at the pool
C. the time he spends on homework before practice
D. the time it takes him to eat dinner
Answer:
A
Step-by-step explanation:all of the others answers make no sense
slope intercept form of 5x - 4y = 28
Answer:
y=-5x-7
Step-by-step explanation:
5x-4y=28
-4y=-5x+28
y=-5x-7