Answer:
Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°
Step-by-step explanation:
To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.
180 - 100 = 80
Angle a is 80°.
Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.
After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.
Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.
So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.
Step-by-step explanation:
The angle between vectors is given by

The magnitudes for the vectors are as follows:




The dot product between the vectors is

Therefore, the angle between the two vectors is

or

Explanation:
To do long division, follow the method pattern "DMS down".
D for divide.
M for multiply.
S for subtract.
Down is to bring down.
Use an example:
52 ÷ 2?
Divide 2 by the first digit of 52.
2 Whenever you divide, put the answer at the top.
2∫52
Multiply answer by number you are dividing by.
2
2∫52
4 When not dividing, put the work under the question.
Subtract.
2
2∫52
<u>4</u><u> </u>
1
Bring down the next digit.
2
2∫52
<u>4 </u>
12
Divide into the new difference 12.
26
2∫52
<u>4 </u>
12
Multiply the new digit.
26
2∫52
<u>4 </u>
12
12
Subtract.
26
2∫52
<u>4 </u>
12
<u>12</u><u> </u>
0 You stop when you get to 0. If you ran out of digits to bring down, write this as a remainder.