Answer:

Step-by-step explanation:
GIVEN : In ΔPQR
S is the mid point of QP
U is the mid point of PR
T is the mid point of QR
Solution :
i) is true i.e 
Refer the attached file
By mid segment theorem i.e. In a triangle, the line joining the midpoints of any two sides will be parallel to the third side and that same line joining the midpoints is also half of length of third side .
UT is the line joining the two mid points . So, by theorem given above UT is parallel to PQ and 1/2QP=UT.
So, (i) statement is true i.e. 
Answer:
94 dollars
Step-by-step explanation:
3 * 11.75 = 35.25
5 * 11.75 = 58.75
35.25 + 58.75 = $94
Hope it helps!
Answer:
-3072
Step-by-step explanation:
ar^(n-1)
a is the first term.
r is the common ratio.
3(-4)^(6-1)
3(-4)^5
3(-1024)
= -3072
The 6th term of the geometric sequence is -3072.
The answer is = 2xy + 2x + 2y
Answer:
.
Step-by-step explanation:
Note: The number is not in proper form. Consider the given number is
.
If a number is added to another number and we get zero, then the added number is known as additive inverse.
Let a be a number, then
So, -a is the additive inverse of a. It means, additive inverse is the same number with opposite sign.
Consider the given number is
.
Therefore, the additive inverse of
is
.