Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD Prove that quadrilateral AFCE i
s a parallelogram.
2 answers:
Answer:
See proof below
Step-by-step explanation:
<u>Theorem:</u> If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.
Consider parallelogram ABCD. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Thus, BC||AD. A parallelogram has 2 sets of opposite sides congruent. Thus, BC=AD.
If E and F are midpoints of sides BC and AD, then halves of these sides are congruent too (CE=FA).
In the quadrilateral AFCE, we have congruent and parallel sides EC and FA. Thus, this quadrilateral is a parallelogram.
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The amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
<h3>What is compound interest?</h3>Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
a) The amount in the bank after 6 years if interest is compounded annually.
A= $6369
b) The amount in the bank after 6 years if interest is compounded quarterly.
A= $6090
c ) The amount in the bank after 6 years if interest is compounded monthly.
A=$6030
Hence the amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
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