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Yuki888 [10]
3 years ago
10

In quadrilateral ABCD, diagonals AC and BD bisect one another: Quadrilateral ABCD is shown with diagonals AC and BD intersecting

at point P. What statement is used to prove that quadrilateral ABCD is a parallelogram?
A. Angles ABC and BCD are congruent.
B. Sides AB and BC are congruent.
C. Triangles BPA and DPC are congruent.
D. Triangles BCP and CDP are congruent.
Mathematics
2 answers:
EleoNora [17]3 years ago
4 0
B. A parallelogram has congruent sides.

aleksley [76]3 years ago
4 0

Answer with explanation:

It is given that , quadrilateral A BC D, diagonals AC and B D bisect one another at point P.

In ΔAPB and ΔCPD

AP=PC

BP=PD

∠APB =∠CPD→Vertically opposite angles

ΔAPB ≅ ΔCPD→→[SAS]

→AB=CD⇒[CPCT]

→∠A BP=∠C DP⇒[C PCT]

Alternate interior angles are equal , so lines are parallel.

⇒AB║CD, and AB=CD

Similarly, we can prove ΔAPD ≅ ΔBPC, to prove AD║BC, and AD=BC.

⇒A Quadrilateral is a parallelogram , if one pair of opposite sides is equal and parallel.

Option C: The statement which is used to prove that quadrilateral ABCD is a parallelogram→→Triangles B PA and D PC are congruent.

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By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there
Leona [35]

Answer:

The right answer is "0.70".

Step-by-step explanation:

The given query seems to be incomplete. Please find below the attachment of the full query.

By using the Bayes' theorem, we get

⇒  P[(X

By putting the values, we get

                                     =\frac{[P(2)+P(3)]}{[1-P(0)-P(1)]}

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                                     =\frac{0.35}{0.5}

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6 0
3 years ago
The measure of angle 6 is
alexandr1967 [171]
The measure of a supplement of an angle is 6 times the measure of the complement of the angle. Find the measure of the angle, its supplement, and its complementInclude sources, explanation, and work.
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Simplify 9 - {x-(7 + x)}<br> 16<br> -2x + 16<br> 2x+2<br> 0 - 22+2
zlopas [31]

answer :

<em>16</em>

explanation :

<em>9 - (x - (7 + x))</em>

<em>9 - (x - 7 - x)</em>

<em>9 - (-7)</em>

<em>9 + 7</em>

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8 0
4 years ago
1 Kg = 2.2046 pounds what will be the answer in round to nearest tenth 4550 pounds = ______ kg
Harrizon [31]

Answer:

2063.9 kg

Step-by-step explanation:

Given,

<u>1 kg = 2.2046 pounds</u>

This can also be written as:

<u>1 pound = 1/2.2046 kg</u>

We have to calculate the value of 4550 pounds in kg up to nearest 10th

Thus,

4550 pounds= \frac{4550}{2.2046} kg

Solving the above equation, we get:

4550 pounds = 2063.8664 kg

Rounding the above result to nearest tenth as:

<u>4550 pounds = 2063.9 kg</u>

6 0
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alexandr1967 [171]
Since there are no decimals this number can't be done
4 0
4 years ago
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