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Sophie [7]
3 years ago
15

What is the reciprocal of 6/5? a. 12/10 b. 1 1/5 c. 1 d. 5/6

Mathematics
2 answers:
Anna [14]3 years ago
6 0
Reciprocals are like flipping the number over
6/5 flipped would become 5/6
5/6 cannot be simplified therefore the final answer is
d. 5/6
galina1969 [7]3 years ago
3 0
<span>The reciprocal of a fraction is simply the reverse position of the original fraction, its numerator and denominator. It is represented by the formula of 1/number (fraction). To get the reciprocal of the number, divide one by the fractional number. You are given the number 6/5. So you have a numerator of 6 and a denominator of five. Simply swap them and you get the new numerator as 5 and the new denominator as 6. Or you can just divide 1/(6/5) then you will get 5/6. The answer is letter D.</span>
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Answer:

1. Given

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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, BT = TD

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, BC ||AD 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- \angle1=\angle2

ii. Side - BT = TD

iii. Angle - \angle3=\angle4

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, ET=FT

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