The simplified expression of 
is 
<h3>How to simplify the expression?</h3>
The expression is given as:
Divide 162 and 2 by 2
Take the square root of 81
Apply the quotient rule of indices
Evaluate the difference
Take the square root of x^18
Hence, the simplified expression of is
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(x + 3) • (2x - 6x)
collect like terms
(x + 3) • (-4x)
distribute -4x through the parentheses
Answer: -4x^2 - 12x
Hope this helps!
Answer:
The width of the rectangle is 6cm.
Explanation:
Perimeter=2(length+width)
28=2(8+w)
Distribute 2 into the parentheses
28=16+2w
Combine like terms
28-16=2w
12=2w
Divide both sides by 2
6=w
I hope this helps! Please comment if you have any questions.
<h3>
Answer: Vertical angles</h3>
Explanation:
Ignore the ray that angles 2 and 3 are adjacent to. It might help to copy the drawing but erase that ray in question. All we really care about is the X shape the two lines form along with angles 1 and 4. These two angles are opposite one another. We consider them vertical angles. They don't have to align vertically. They simply have to be opposite one another like this in this X configuration. Vertical angles are always congruent to one another.
