Geometry math question no Guessing and Please show work thank you
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Here we use midsegment rule which states that if a segment joining two midpoints of the two sides ,then it is parallel to third side and equal to half of it .
That is,
SP = 0.5 LN
3x+1=0.5(10x-6)
6x+2 = 10x-6
Subtracting 6x to both sides and adding 6 to both sides
8 = 4x
Dividing both sides by 4
x=2
Substituting x in SP, that is SP =3(2)+1 =7
2*SP = LN
2(3x+1)=(10x-6)
6x+2=10x-6
10x-6x = 2+6
8x=8
x=1
SP=3x+1 =3(1) +1 =4
SP=4
Answer is D. SP=4