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lys-0071 [83]
2 years ago
12

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

Mathematics
2 answers:
Paha777 [63]2 years ago
4 0

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

marissa [1.9K]2 years ago
4 0

Answer:

<h2>\huge \: x = 14 \:and\: \small\\ the\: length\: of\: the\: segment\: is \:85</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • triangles congruency
  • equation
  • PEMDAS
<h3>tips and formulas:</h3>
  • when two triangles are congruent the included angles and sides of the triangles are equal
  • PN=MN
<h3>let's solve:</h3><h3>step - 1 : define</h3>

8 x- 27 = 6x + 1

<h3>step - 2  : solve</h3>
  1. add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28
  2. cancel \:  6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x  + 28 \\ 8x = 28
  3. divide \: both \: sides \: by \: 2 \\  \frac{2x}{2}  =  \frac{28}{2}  \\ x = 14
<h3>the length of the segment is</h3>

8x-27

8.14-27

85

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