Of 60 books on a bookshelf, 24 are nonfiction. What percent of the books are nonfiction?
1 answer:
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Answer:
1. Given
2. Diagonals of a parallelogram bisect each other.
3. Vertical angles are equal.
4. Definition of parallelogram.
5. If lines parallel, then alternate interior angles are equal.
6. ASA
7. CPCTE
Step-by-step explanation:
Statement 1:
The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.
Statement 2:
BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence,
Statement 3:
Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.
Statement 4:
A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, is because of the definition of a parallelogram.
Statement 5:
Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.
Statement 6:
The triangles BET and DFT are now congruent because:
i.Angle-
ii. Side -
iii. Angle -
Therefore, by ASA postulate the two triangles are congruent.
Statement 7:
As the two triangles are congruent, then their corresponding parts are also equal.
So, by CPCTE,
Ms. Drake will earn in this time from the investment of
at a simple interest with rate of interest
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
Formula for finding simple interest is
Given principal of Ms. Drake is
Rate of interest is
Time is years.
Interest
Therefore, Ms. Drake will earn in this time.
To learn more about simple interest from the given link
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