Answer:
The Two Column Proof is given below.
Step-by-step explanation:
Given:


To Prove:
∠ P ≅ ∠ N
Proof:
In Δ MPO and Δ MNO
STATEMENT REASONS
1. MP ≅ MN 1. Given
2. PO ≅ NO 2. Given
3. MO ≅ MO 3. Reflexive property
4. ΔMPO ≅ ΔMNO 4. Side-Side-Side congruence test}
5. ∠MPO ≅∠MNO 5. Corresponding parts of congruent Triangles
i.e ∠ P ≅ ∠ N ..................Proved
Answer:
The expression 3p⁵ ₓ 8p³ / 2p can be simplified to 12p⁷.
Step-by-step explanation:
To simplify:
3p⁵ ₓ 8p³ / 2p
= (3 ₓ 8)(p⁵ ₓ p³) / 2p
= 24p⁸ / 2p
= 12p⁷
Given:
A synthetic division problem.
To find:
The missing number it in the given synthetic division problem.
Solution:
The given synthetic division problem is:



In synthetic division, we need to add first and second row to get the bottom row.



Similarly,

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.
What is the mean of this data set? If necessy, round your answer to the nearest tenth. 12,16,22,23,34,44,46,47,48,64,67,73,83,88
Dmitry_Shevchenko [17]
The mean for the data set is 50.4
Rounded to the nearest 10th is 50