Find the value of x that will make A||B. A B 4x 2x X = ?

Mathematics

1 answer:

pashok25 [27]3 years ago

8 0

Answer:

x = 30

Step-by-step explanation:

Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.

By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.

4x + 2x = 180°

6x = 180

x = 30

Therefore x = 30 will be the answer.

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X + y = 3, 4y = -4x - 4 System of Equations

alexdok [17]

Answer:

no solutions

Step-by-step explanation:

Hi there!

We're given this system of equations:

x+y=3

4y=-4x-4

and we need to solve it (find the point where the lines intersect, as these are linear equations)

let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable

we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4

y=-x-1

now we have y set as an expression containing x

substitute -x-1 as y in x+y=3 to solve for x

x+-x-1=3

combine like terms

-1=3

This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.

Therefore the answer is no solutions

Hope this helps! :)

The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution