laurentescandell
Answered

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5. ALGEBRA Refer to the figure in
Exercise 4. If mZ1 = 4x + 40, and
m25 = 120°, what is the value of x?

5 ALGEBRA Refer To The Figure In Exercise 4 If MZ1 4x 40 And M25 120 What Is The Value Of X class=

Sagot :

xero099

The value of [tex]x[/tex] that satisfies all the expressions of the system of linear equations is 20.

Procedure - Determination of a variable associated to a pair of corresponding angles

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

[tex]4\cdot x + 40 = 120[/tex] (1)

After some algebraic handling we find the value of [tex]x[/tex]:

[tex]4\cdot x = 80[/tex]

[tex]x = 20[/tex]

The value of [tex]x[/tex] that satisfies all the expressions of the system of linear equations is 20. [tex]\blacksquare[/tex]

Remarks

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: https://brainly.com/question/15767203

View image xero099
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