Solve for x:
8 - 5 x = 2 x + 8
Subtract 2 x from both sides:
8 + (-5 x - 2 x) = (2 x - 2 x) + 8
-5 x - 2 x = -7 x:
-7 x + 8 = (2 x - 2 x) + 8
2 x - 2 x = 0:
8 - 7 x = 8
Subtract 8 from both sides:
(8 - 8) - 7 x = 8 - 8
8 - 8 = 0:
-7 x = 8 - 8
8 - 8 = 0:
-7 x = 0
Divide both sides of -7 x = 0 by -7:
(-7 x)/(-7) = 0/(-7)
(-7)/(-7) = 1:
x = 0/(-7)
0/(-7) = 0:
Answer: x = 0
A librarian has 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.
Example : lets say there are 10 shelves.....so k = 10
150/10 = 15 books on each shelf.
Hello,
Let's assume top left corner: A
top right corner : B
Bottom right corner: C
Bottom left corner :D
M= middle of [CD]
ABM is a triangle rectangular isocel:
(3√2)²+(3√2)²=y²
==>y²=2*9*2
==>y²=36
==>y=6
The triangle BCM is rectangular with MB=3√2, MC=y/2=3
x²+3²=(3√2)²
==>x²=9*2-9
==>x²=9
==>x=3
The number of handshakes is the number of ways 6 objects can be selected 2 at a time.
.. C(6,2) = 6·5/(2·1) = 15
The appropriate choice is
... C) 15
_____
Consider that each person can shake hands with 5 others. That's a total of 6*5 = 30 handshakes, but it counts both A shaking with B and B shaking with A. If each pair of persons only shakes hands once, the number of handshakes is 30/2 = 15.
Given:
To find:
Solution:
Substitute .
Subtract 26° from both sides.
Divide by 2 on both sides, we get
Therefore, m∠1 = 35°.
