Answer:

Step-by-step explanation:
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
In this problem
M is the mid-point segment AB
N is the mid-point segment BC
so
Applying the Midpoint Theorem
MN is parallel to AC

we have that
---> given problem
substitute


Answer:
see below
Step-by-step explanation:
∠1 = 61°
∠2 = 119°
∠3 = 61°
∠4 = 119°
∠5 = 119°
∠6 = 61°
∠7 = 119°
-------------------------------
∠1 = 61° = as given
∠2 = 119° = ( 180 - 61 ) = 119°
∠3 ≅ ∠1 opposite angles are equal (congruent)
∠4 ≅ ∠2 opposite angles are equal (congruent)
∠5 ≅ ∠2 or parallel
∠6 ≅ ∠3 ≅ ∠1
∠7 ≅ ∠5
Answer:
b
Step-by-step explanation:
Answer:
V = 32/3 pi
Step-by-step explanation:
The volume of a sphere is given by
V= 4/3 pi r^3
We know the radius is 2
V = 4/3 pi (2)^3
V = 4/3 pi (8)
V = 32/3 pi
The dot means to multiply
so 43 x 10025 -50
since BEDMAS is applied,
we would do the multiplication first
43 x 10025 = 431075
and <span>431075 - 50 is 431025
FINAL ANSWER: 431025</span>