Answer:
30 inches
Step-by-step explanation:
It is given that The mid segment of triangle ABC is LM. We know that A midsegment is the line segment connecting the midpoints of two sides of a triangle. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
Consider triangle ABC and LM is the midsegment of this triangle. Then, according to the definition of mid segment, we have:
⇒
⇒
⇒
Thus, the length of AC is 30 inches.
Answer:
(x-8)(x+7)
Step-by-step explanation:
using quadratic formula we have
x=
we have:
x^2-x-56=0
a= 1 b=-1 c=-56
so we have:
x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)
x=1+-sqrt(1-4*(-56))/(2)
x=(1+-sqrt(225))/2
x=(1+-15)/2
so we have the roots:
x1=(1+15)/2 =8
x2=(1-15)/2=-7
so the answer is (x-8)(x+7)