Answer:
1=z-9
2=9+z
3=9/z
4=9z
Step-by-step explanation:
Given that <span>the number of possible handshakes within a group of n people is given by the equation:
</span>

<span>
Given that there are 105 people at a party, the number of possible handshakes is given by:
</span>

<span>
</span>
Answer:
70
Step-by-step explanation:
Angle Q and angle P are supplementary angles, so they add up to 180 degrees.
6x + 4 + 10x = 180
16x + 4 = 180
16x = 176
x = 176/16
x = 11
Put x in angle Q as 11 and solve.
6(11) + 4
66 + 4
= 70
Angle Q measures 70 degrees.
0.35 as a fraction is 35 over 100. An equivalent to this is 7 over 20
Answer:
x =
and y = 
Step-by-step explanation:
Known that he sum of angles on a straight line is
. From the diagram;
2y + x + y = 
x + 3y =
................ 1
Also,
2x + x + 2y = 
3x + 2y =
.............. 2
Using the elimination method, multiply equation 1 by 3 and equation 2 by 1
3x + 9y = 540 ............ 3
3x + 2y =
............. 4
7y = 360
y = 
y = 
substitute the value of y in equation 1,
x + 3y = 
x + 3(51.4) = 
x + 154.2 = 
x =
- 154.2
x = 
Thus, x =
and y = 