Answer:
C
Step-by-step explanation:
We are given that
DCB and
CDA are supplementary.
We have to identify the parallel segments if
DCB and
CDA are supplementary.
Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.
Therefore,

Therefore, angle DCB and angle CDA are interior angles .
Because CA is a transversal line and sum of interior angles is 180 degrees.
When the sum of interior angles formed between two lines and on same side of transversal line is 180 degrees. Then the lines are parallel.
Therefore, angle DCB and angle CDA are formed between line AD and BC.
Hence, AD is parallel to BC.
Option C is correct.
2(n-9) = 3(n + 5)
2n - 18 = 3n + 15
2n - 3n = 15 + 18
-n = 33
n = -33
Answer:
490
Step-by-step explanation:
Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.
There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.
Adding these up, you have $300 + 190 = 490 total handshakes.
Hope this helps!
Your answer is 1 and 7/8.
24590/12=2029.166....
Your answer would be $2049.17