Please help with this
1 answer:
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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:
Answer:
∠WVX = 35°
Step-by-step explanation:
Look at the rough draw.
As you can see,
VW ║ YZ
So ∠XWV is congruent to ∠XYZ through alternate interior angle.
We can solve ∠WVX by considering the two other angles, 88° and 57°.
Total angle of a triangle is 180°.
So,
? + 88 + 57 = 180
? + 145 = 180
? = 180 - 145
? = 35°
Answer:
Step-by-step explanation:
First, remember that the maximum degree of an angle totals 360°.
Since we already have 294°, this means that what is left must total .
Therefore, this means that our two smaller angles must equal 66°. So:
Solve for x. Add on the left:
Subtract 8 from both sides. Therefore, the value of x is: