According to the figure, angles 1 and 5 are <em>corresponding</em> angles between two <em>parallel</em> lines, therefore we have the following equivalence:

$4\cdot x + 40 = 120$ (1)

After some algebraic handling we find the value of $x$ :

$4\cdot x = 80$

$x = 20$

The value of $x$ that satisfies all the expressions of the system of linear equations is 20. $\blacksquare$

<h3>Remarks</h3>

There is a missing figure for the statement, we proceed to include it below after some research.

To learn more on angles, we kindly invite to check this verified question: brainly.com/question/15767203

5 0

2 years ago

Is 5x+6y=1 a direct variation? (yes or no only)

aleksandr82 [10.1K]

Direct variation is y=kx
indirect variation is y=k/x

if we can get it into that form, then it is

5x+6x=1
6y=-5x+1
y=(-5/6)x+1/6
yes

-4x+9y=4
9y=4x+4
y=(4/9)x+4/8
yes

5 0

2 years ago