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
X^2 - y^2 - 2x + 6y - 8
<span>= (x^2 - 2x + 1) - (y^2 - 6y + 9) - 8 - 1 + 9 </span>
<span>= (x - 1)^2 - (y - 3)^2 </span>
<span>= [(x - 1) - (y - 3) ] [(x - 1) + (y - 3)] </span>
<span>= (x - 1 - y + 3) ( x - 1 + y - 3) </span>
<span>= (x - y + 2) (x + y - 4)</span>
Answer:

Step-by-step explanation:
Given


Required
Represent the additional time needed as an inequality
Convert the previous time to minutes




Let the additional time be t
<em>This means that she needs to run at least t minutes to beat her previous record</em>
<em />
To beat her previous record, the sum of current time and x must be less than her previous time. i.e.

This can be rewritten as:

Answer:
B
Step-by-step explanation:
Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.
8 red grapes to 13 total grapes=
8:13 or 8/13
Answer:
Step-by-step explanation:
