Answer:
1. Segment MN is congruent to segment OP (Given)
2. Angle MNP is congruent to angle OPN (Given)
3. Segment NP is congruent to segment NP (Reflexive prop.)
4. Triangle MPN is congruent to triangle ONP (SAS)
5. Segment MP is congruent to segment NO (CPCTC)
Hope this helps! :)
¹/24
Step-by-step explanation:
The number of favorable outcomes (rolling a 5) is 3
The total number of possible outcomes is 12 * 6 = 72
Therefore;
P(5) = 3/72
= 1/24
Answer:

Step-by-step explanation:
The given sequence is 
The common difference is d=10-15=-5
The first term of this sequence is 
We want to find the 27th term in this sequence.
The 27th term is given by:

We substitute the values to get:


Answer:
4376
Step-by-step explanation:
8, −24, 72, -216, 648, -1944, 5832
Multiply the next number by -3
8 x -3 = -24
-24 x -3 = 72
72 x -3 = -216
-216 x -3 = 648
648 x -3 = -1944
-1944 x -3 = 5832
adding all 7 numbers
8 + (−24)+72 + (-216)+648+ (-1944)+5832 = 4376