Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative Sta
2 answers:
Answer:
Step 1 is incorrect.
Step-by-step explanation:
The given expression is :
In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.
o, rearranging of the terms of an expression is commutative property and not distributive property. The distributive property is generally applicable to multiplication and is given as:
The commutative property is given as:
x+y = y +a
Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.
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Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, is
of the distance from
to
, since the latter is the midpoint of the side opposite to
. We know this because
belongs to
, so
must be
's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
Substituting into the equation gives us:
Solving for , we get:
(Multiply both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
Answer:
$13.68
Step-by-step explanation:
Assuming they rent for 1 year, the cost is broken down as follows:
Annual renting cost = 22% of 722.98 =
Usage charge = 3.2% of 159.06 =
Thus,
Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15
Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):
dollars