Answer:
The correct option is commutative property.
Step-by-step explanation:
The expression that Renee is simplifying is:

It is provided that, Renee recognizes that 7 and
are reciprocals, so she would like to find their product before she multiplies by
.
The associative property of multiplication states that:

The commutative property of multiplication states that:

The distributive property of multiplication states that:

The identity property of multiplication states that:

So, Renee should use the commutative property of multiplication to find the product of 7 and
,

Thus, the correct option is commutative property.
Answer:

Step-by-step explanation:
Given


See attachment
Required
Find 
First, calculate 
--- angle on a straight line
So, we have:

Collect like terms


Next, calculate PQR

So, we have:

Collect like terms


So, PRO is calculated as:
--- angles in a triangle
So, we have:


Collect like terms


An infinite strip with a symmetric pattern is called a frieze pattern.
There are only seven possible frieze pattern.
1. Translation symmetry only.
2. Glide reflection plus translation symmetry.
3. Reflection over a horizontal line plus translation.
4. Reflection over a vertical line plus translation.
5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.
6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.
7. Reflection over a vertical line plus glide reflection plus translation.
Answer:
I think it's A
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