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2 years ago

Which of the following reasons could be used to conclude that the lines are parallel based on the given information?

2 answers:

7 0

We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.

Statement 1:

If right angles are formed, then lines are parallel.

This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.

Statement 2:

If two lines are perpendicular to another line, then they are parallel.

This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.

Statement 3:

If alternate interior angles are equal, then lines are parallel.

This is valid as explained above.

Hence final answer are statement 2 and statement 3 both.

kompoz [17]2 years ago

7 0

Answer:

If two lines are perpendicular to another line, then they are parallel.

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2 years ago

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hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

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Substitute the value of k into the expression. Then, the equation is:

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To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

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2 years ago

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Answer:

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2 years ago

Math help please TY :3 HWAJDSK 10 POINTS REWARDING !!

valkas [14]

I will do Point A carefully, The others I will indicate. Start with the Given Point A. Then do the translations

A(-1,2) Original Point

Reflection: about x axis:x stays the same; y becomes -y:Result(-1,-2)

T<-3,4>: x goes three left, y goes 4 up (-1 - 3, -2 + 4): Result(-4,2)

R90 CCW: Point (x,y) becomes (-y , x ) So (-4,2) becomes(-2, - 4): Result (-2, - 4)

B(4,2) Original Point

Reflection: (4, - 2)
T< (-3,4): (4-3,-2 + 4): (1 , 2)
R90 CCW: (-y,x) = (-2 , 1)

C(4, -5) Original Point

Reflection (4,5)
T<-3,4): (4 - 3, 5 + 4): (1,9)
R90, CCW (-9 , 1)

D(-1 , -5) Original Point

Reflection (-1,5)
T(<-3,4): (-1 - 3, 5 + 4): (-4,9)
R90, CCW ( - 9, - 4)

Note: CCW means Counter Clockwise

The graph on the left is the same one you have been given.

The graph on the right is the same figure after all the transformations

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