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What is the value of x and the length of the segment?

What Is The Value Of X And The Length Of The Segment class=

Sagot :

Thebecksidn

Answer:

x=14

PN=MN=85

Step-by-step explanation:

It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN

8x-27=6x+1

2x=28

x=14

PN=MN=85

Answer:

[tex] \huge \: x = 14 \:and\: \small\\ the\: length\: of\: the\: segment\: is \:85[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • triangles congruency
  • equation
  • PEMDAS

tips and formulas:

  • when two triangles are congruent the included angles and sides of the triangles are equal
  • PN=MN

let's solve:

[tex]step - 1 : define[/tex]

[tex]8 x- 27 = 6x + 1[/tex]

[tex]step - 2 : solve[/tex]

  1. [tex]add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28[/tex]
  2. [tex]cancel \: 6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x + 28 \\ 8x = 28[/tex]
  3. [tex]divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{28}{2} \\ x = 14[/tex]

the length of the segment is

8x-27

8.14-27

85

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