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Adjacent angles are two angles that are connecting, or adjoining. They have a common vertex and a common side, but they DO NOT overlap.
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6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
-------------------
Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
Answer:
$7.7
Step-by-step explanation:
Step one:
given data
total money = $175
He buys 4 shirts for $24 each= 24*4= $96
The shirts are discounted 20%
= 96- 0.2*96= 96-19.2= $76.8
2 pairs of shorts for $18 each= $36
2 pairs of pants for $22.50 each= $45
Total cost = $157.8
tax= 6%
total expenses
= 157.8+ 0.06*157.8
=157.8+9.468
=$167.268
The balance is
= 175-167.268
=$7.7
