Answer:
X=2.5
Step-by-step explanation:
4+6+4+7+X+(X+1)+8+2/8=5
31+X+(X+1)/8=5
40=31+X+(X+1)
9=X^2+X
X=2.5
Answer:
D
Step-by-step explanation:
The answer is D because A and B is an alternate interior angle meaning they don't have to be parallel lines in order to show that they are the same angles. C is incorrect.
E is incorrect because perpendicular lines mean that they have to be 90 degrees angle but the one that is shown is diagonal instead.
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given

--- number of letters
Solving (a): Number of arrangements.
We have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:

