<h3>
Answer: 97/112</h3>
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How to get this answer:
Midpoint formula: (A+B)/2 = C
A and B are the endpoints with C as the midpoint
A = 7/8
B = 6/7
A+B = 7/8 + 6/7
A+B = 49/56 + 48/56
A+B = (49+48)/56
A+B = 97/56
(A+B)/2 = (97/56) divided by 2
(A+B)/2 = (97/56) times (1/2)
(A+B)/2 = (97*1)/(56*2)
(A+B)/2 = 97/112
Answer:
Option B) 4 centimeters
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of n
we know that
a) GJ is a midsegment of triangle DEF
then
G is the midpoint segment DF and J is the midpoint segment EF
DG=GF and EJ=JF
b) HK is a midsegment of triangle GFJ
then
H is the midpoint segment GF and K is the midpoint segment JF
GH=HF and JK=KF
In this problem we have
HF=7 cm
so
GH=7 cm
GF=GH+HF ----> by addition segment postulate
GF=7+7=14 cm
Remember that
DG=GF
substitute the given values

solve for n



step 2
Find the length of GJ
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
so

we have

substitute

step 3
Find the length of HK
we have that
----> by the midpoint theorem
we have

substitute

A quadratic should be in the form ax²+bx+c=0
where a b and c are all numbers
1.27 = 1 27/100
I hope this helps!