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PLS HELPThe length of DF is (6x + 4) inches, with E as the midpoint. The length of DE is 20 inches. What is the value of x?
Enter the correct value in the box.
x=
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PLS HELPThe Length Of DF Is 6x 4 Inches With E As The Midpoint The Length Of DE Is 20 Inches What Is The Value Of XEnter The Correct Value In The BoxxShow Hint class=

Sagot :

Answer:

The value of x is 6

Step-by-step explanation:

The midpoint divides a segment into two, equal segments. DE is one of the two segments created by the midpoint, so its measurement is equal to half the measurement of segment DF. Divide (6x + 4) by 2 and set it to equal the given length of DE, 20. Use this equation to find the value of x.

[tex](6x+4)/2=20[/tex]

Dividing by 2 is the same as multiplying by 1/2, so distribute that 1/2.

[tex]3x+2=20[/tex]

Subtract by 2 on both sides.

[tex]3x=18[/tex]

Divide by 3.

[tex]x=6[/tex]

x = 6