What is the length of mn?

a. 58 cm
b. 75 cm
c. 88 cm
d. 116 cm

 The correct option is (A) 58 cm.

Step-by-step explanation:  We are given to find the length of MN from the figure shown.

From the figure, we note that

in triangle ABC, M is the midpoint of AB and N is the midpoint of BC.

Also, AM = 88 am, BN = 75 cm and AC = 116 cm.

The Midpoint Theorem  : It 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.

Therefore, applying Midpoint theorem in triangle ABC, we find that

MN is parallel to AC and is half the length of AC.

That is,

Thus, the length of MN is 58 cm.

Option (A) is CORRECT.

77

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0