4. Transversal E F intersects AB and CD, as shown in
the diagram below.
E
1/2
4/3
A
B
5/6
8/7
D
F
Which statement could always be used to prove
AB || CD?
1
2224
2) 27 228
3) Z3 and Z6 are supplementary
4) Z1 and 25 are supplementary
Answers
Answer: D, m<5=55.1 and m<7=124.9
Step-by-step explanation: 5 is the opposite of 4 in this diagram becuase of the bisector so that would make it the same 55.1, while 7 is an obtuse angle so it's clearly more than 90°, leaving 124.9 the most logical explanation.
Statement, ∠3 and ∠6 are supplementary will always be used if lines AB and CD are parallel.
What is a traversal line?When a line passes through two lines on the same plane, is called traversal line.
Given that,
Two lines are AB and CD,
Also, a transversal line EF intersect line AB and CD.
According to traversal line property,
If two lines are parallel and a traversal line intersect two lines, then each pair of interior angles on the same side of the transversal is supplementary.
In the given figure, Angle 3 and 6 are interior angles
Implies that,
Angle 3 and angle 6 will be supplementary if line AB and CD are parallel.
Hence, statement ∠3 and ∠6 are supplementary shows that lines AB and CD are parallel.
To learn ore about Traversal line on:
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Related Questions
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?
Answers
36/9=4
5*4=20
4*4=16
There are 4 more boys in the class than there are girls.
The endpoints of the directed line segment AB are A(-1 2) and B (7 8). Find the coordinates of point P along AB so that the ratio of AP to PB is 1 to 3
Answers
Answer:
The coordinates of P are (1,3.5)
Step-by-step explanation:
Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
where in this case m = 1, n = 3
(x1,y1) = (-1,2)
(x2,y2) = (7,8)
Thus, we have ;
(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)
(x,y) = (-3+7)/4 , (6 + 8)/4
(x,y) = 4/4, 14/4
(x,y) = (1,3.5)
What point was used to write the equation y - 3=2(x +4)
Answers
Answer:
(3, -4)
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define function
y - 3 = 2(x + 4)
Step 2: Break function
Coordinate (3, -4)
Slope m = 2
Which chose represents a nonlinear function?
A. X= -2, -1, 0, 1, Y= -3, -1, 1, 3
or
B. X= -2, -1, 0, 1, Y= 4, 1, 0, 1
pls help ill mark u barnlist
Answers
help please and show work. I will mark Brainliest for best work
Answers
Answer:
$118 in tips
Step-by-step explanation:
We know that the waiter makes $4 an hour. So, in 8 hours, the waiter makes 8*4, or $32 dollars. So, the tips the waiter made would be 150-32, or $118. That's a lot of tips! :D
Answer:
*3 weeks ago*
Step-by-step explanation:
ΔZAP has coordinates Z (−1, 5), A (1, 3), and P (−2, 4). A translation maps point Z to Z' (1, 1). Find the coordinates of A' and P' under this translation.
Group of answer choices
A' (−4, 0); P' (−1, −1)
A' (3, −1); P' (0, 0)
A' (−1, −1); P' (−4, 0)
A' (0, 0); P' (3, −1)
Answers
g(n) = -n+ 3
How do you find the inverse of this equation?
Answers
Let g(n) = y
We then have y = -n + 3.
Exchange y and n.
n = -y + 3
Solve for y.
n - 3 = -y
(n - 3)/(-1) = -y/(-1)
-(n - 3) = y
Replace y with g^(-1) n.
-(n - 3) = g^(-1) n
round to 2 SF 18.9 pls its urgent
Answers
The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
A. (3, 4) is the solution to both lines A and B.
B. (3, 4) is the solution to line A but not to line B.
C. (0.2) is the solution to both lines A and B.
D. (0, 2) is the solution to line A but not to line B.
Answers
Answer:
(3, 4) is the solution to both lines A and B.
Thus, option A is true.
Step-by-step explanation:
As we know that the point of intersection of two lines is the solution of the system of the equations.
From the graph, it is clear that the two lines meet at x=3 and y=4.
It means the point of intersection of the two lines is (3, 4).Hence, (3, 4) is the solution to both lines A and B.
Thus, option A is true.
Tim throws a stick straight up in the air from the ground. The function h = -16t^2+ 48t models the height, h, in feet, of
the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick
reaches a height of more than 8 feet?
Answers
Answer:
[tex]-2t^2+ 6t -1 > 0[/tex]
Step-by-step explanation:
Function Modeling
The height h in feet of the stick threw by Tim is modeled by the function:
[tex]h = -16t^2+ 48t[/tex]
where t is the time in seconds.
It's required to write an inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet, i.e. h > 8.
Using the given model, we write the inequality:
[tex]-16t^2+ 48t > 8[/tex]
Dividing by 8
[tex]-2t^2+ 6t > 1[/tex]
Subtracting 1, we get the required inequality:
[tex]\mathbf{-2t^2+ 6t -1 > 0}[/tex]
Answer:
you want more than 8 feet so the answer would be -16t^2+48t>8
Step-by-step explanation:
h=-16t^2+48t
-16t62+48t>8
-16t^2+48t=8
divide both sides of the equal sighn by 8
-2t^2+6t=1
put the symbol back in
-2t^2+6t>1
substitute a random mumber for t
-2(5)^2+6(5)>1
-10^2+30>1
subtract 30 from both sides
100>-29
state is true so -16t62+48t>8 is the correct answer
Help please really need
Answers
Answer:
c) no solution
Step-by-step explanation:
the roots are imaginary numbers
Which is the better deal and by how much: a camera priced $79 at Target marked 20% off, or the same camera priced $85 at Walmart marked 25% off? A. Target camera by $0.55 B. Walmart camera by $0.55 C. They are the same price
Answers
Answer:
The answer is A.
Step-by-step explanation:
Because after math is that the 79$ one goes down to 63.2 and the 85$ one goes down to 63.75. So the best deal would be A.
What is the x?? -19 = -2/3x
Answers
Answer:
x=28.5 or 28 1/2
Step-by-step explanation:
Answer:
x= 57/2
Step-by-step explanation:
How do you answer this? (this is for slopes.)
Answers
Answer:
[tex]y= 2x + 4[/tex]
Step-by-step explanation:
We are given an equation of [tex]2x-y+3 =-1[/tex] and we need to put into [tex]y = mx+b[/tex] form.
First, we subtract 3 on both sides to get the variables all on one side.
[tex]2x-y+(3 - 3)=(-1 -3)\\\\[/tex]
[tex]2x-y = -4[/tex]
We need to now isolate y on its own so we subtract [tex]2x[/tex] on both sides.
[tex](2x-2x)-y=(-4-2x)[/tex]
[tex]-y=-2x-4[/tex]
We almost done! We then need to divide the invisible negative on both sides which is a -1.
[tex]\frac{-y}{-1}=\frac{-2x-4}{-1}[/tex]
[tex]y=2x+4[/tex]
When we divide the the negatives together, we know that two negatives divided together is a positive. Therefore, we get our answer [tex]y=2x+4[/tex]
Hoped this helped!
#1: Find the slope of the line shown below.
Answers
Answer:
-3/4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
-3/4
Step-by-step explanation:
What is the slope of the line
Answers
Answer:
[tex]m=-1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -2)
Point (-2, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+2}{-2-0}[/tex]Add/Subtract: [tex]m=\frac{2}{-2}[/tex]Divide: [tex]m=-1[/tex]And we have our final answer!
Answer:
-1
Step-by-step explanation:
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answers
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
A chemist is using 336 milliliters of a solution of acid and water. If 16.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answers
Answer:
Amount of acid = 55.1 mm (Approx)
Step-by-step explanation:
Given:
Amount of solution = 336 mm
Percentage of acid = 16.4%
Find:
Amount of acid
Computation:
Amount of acid = Amount of solution x Percentage of acid
Amount of acid = 336 x 16.4%
Amount of acid = 55.1 mm (Approx)
24−(−37) please help me
Answers
Answer:
24−(−37) = 61
Step-by-step explanation:
Armin used 3/4 of a glue stick to decorate 1/4 of his poster. At this rate, how
many glue sticks will he use to decorate one entire poster? *
Answers
Answer:
3 glue sticks
Step-by-step explanation:
3/4 to do 1/4, so 3/4=1/4x
multiply by 4.
3=x
So 3 glue sticks.
Explanation:
3/4 .. and 1/4
So 3/4 x 4 is 12/4 which is 3 whole glue sticks used for the poster .
What is the equation of the line that passes through the point (3,-3)(3,−3) and has a slope of 0?
Answers
Answer:
The equation of the line that passes through the point (3,-3) and has a slope of 0 will be:
[tex]0=y+3[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]
where
[tex]m[/tex] is the slope of the line and, [tex]\left(x_1,\:y_1\right)[/tex] is a point on the line.As the slope is [tex]m=0[/tex], and the point is [tex](3,-3)[/tex]
so
Equation of the line will be:
[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]
[tex]y\:-\:\left(-3\right)\:=\:0\left(x-3\right)[/tex]
Further simplifying
[tex]0=y-\left(-3\right)[/tex]
[tex]0=y+3[/tex]
Therefore, the equation of the line that passes through the point (3,-3) and has a slope of 0 will be:
[tex]0=y+3[/tex]
Does anyone know what this is
Answers
Answer:
D. -3 + 6
Step-by-step explanation:
-3 - (-6) = 3 and -3 + 6 also equals 3
All of the following expressions are equal except_____. Help!!!!
Answers
Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?
Answers
Answer:
D
Step-by-step explanation:
choice A is not guaranteed since the values varied from 0 to 7.
choice B seems alright, but doesn't include about or anything about the long run.
choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.
choice D seems pretty good, since it says average, long run, approach, etc.
choice E is incorrect because it says "will be". It is not definite.
Option B is correct.
According to the question,
The values varied from 0 to 7, and distribution of relative frequencies for the values was created.
Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12.
Interpretation A is not the best interpretation as according to questions the values varied from 0 to 7.
Interpretation B, According to data given B's following the condition, but doesn't include about anything about the long run.
Interpretation C, According to the data given C is not the best interpretation because 50% are less than 3.12 and 50% are greater than 3.12.
Interpretation D, According to the data given D is not the best interpretation, since it says average, long run, approach, etc.
Interpretation E, According to the data given E is incorrect because it says "will be" but It is not definite.
Hence, out of the given options, option B is the correct one.
Learn more about random variables here:
https://brainly.com/question/17238189?referrer=searchResults
10y + 12 - 7y - 8 - 3y = ?
Answers
Answer:
The answer is 4 :)
Step-by-step explanation:
The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?
Answers
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
ANYONE! HELP! I KNOW THE ANSWER I JUST NEED TO SHOW THE WORK
Find the missing angle.
The answer is 146
Answers
All the angles in the triangle equals 180
So you have 90+56+x=180
No you will get that x= 34
The angles (?) + x = 180
Because they are on the same line
So you will have 180-34= 146
Find the slop of a line containing the two points (-5,-6) and ( 8, 7)
Answers
Answer:
1
Step-by-step explanation:
-5 to 8. 13
-6 to 7. 13
13/13=1
sam needs to cut 3 1/2 yd from a piece of wood. This is 1/2 of the total piece. How long was the originial piece, p,of wood?
Answers
The wood was 7 yards long
Gary walked 9 ⅓ miles last week. This week he walked half that distance. How far did he walk this week.
Answers
Answer:
k
Step-by-step explanation:
good job
Answer:
He walked about 4.65 miles this week
Step-by-step explanation: