Answers
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 thisyou need to know about:triangles congruencyequationPEMDAStips and formulas:when two triangles are congruent the included angles and sides of the triangles are equalPN=MNlet's solve:[tex]step - 1 : define[/tex][tex]8 x- 27 = 6x + 1[/tex]
[tex]step - 2 : solve[/tex][tex]add \: 27 \: to \: both \: sides \\ 8x - 27 + 27 = 6x + 1 + 27 \\ 8x = 6x + 28[/tex][tex]cancel \: 6x \: from \: both \: sides \\ 8x - 6x = 6x - 6x + 28 \\ 8x = 28[/tex][tex]divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{28}{2} \\ x = 14[/tex]the length of the segment is8x-27
8.14-27
85
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