the arrows criss cross then on the right side it splits again and its labeled y and z and the other one across from the split one is x
For the diagram shown, x = 80 and y = 30. Determine the value of z.
a. 20
b 40
c 50
d 100
e 110
To find the value of z, we need to fully understand the relationships between x, y, and z as shown in the diagram.
Since x = 80, we need to look for the relationships between x, y, and z in the diagram. The diagram indicates that the arrows criss cross and on the right side, it splits again into y and z. This suggests that both y and z are related to the value of x.
Given that y = 30, we can start by calculating the total sum of x and y first.
x + y = 80 + 30
x + y = 110
This means that the total of the path leading to where it splits into y and z is 110. Since 110 is the total value of that path, this means that z must equal to:
z = x + y - z
z = 110 - 30
z = 80
Therefore, the value of z is 80.
Therefore, the answer is not listed in the answer choices provided.