x=50
Step-by-step explanation:
angle 1 and 3 are corresponding angles that menas they equal the same
so set it up like this 2x+10=110 solve for x
move over the 10, subtract 10 from 110 you get 100 and divide by 2
you get 50.
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:

Answer: 59.49 meters
In this case, Gabriella flew 4 times with different distance. To answer this question you just need to add all the distance, The calculation would be:
Total distance = distance 1 + distance 2 + distance 3 + distance 4
Total distance = 8.05 meters+ 17.71 meters + 14.38 meters + 19.35 meters= 59.49 meters.