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valentinak56 [21]
3 years ago
13

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Using a stra

ightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the Alternate Interior Theorem. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.
What properties accurately complete the proof?

Addition
Transitive

Reflexive
Reflexive

Substitution
Reflexive

Transitive
Transitive
Mathematics
1 answer:
ELEN [110]3 years ago
5 0
Something goes wrong with the question:
" segment AB is parallel to segment DC <span>and segment BC is parallel to segment AD" that is impossible when figure is built.</span>
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Answer:

6 cases

Step-by-step explanation:

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She already has 16 water bottles. So you can subtract 16 from 160 or

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Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and stand
Fed [463]

Answer:

1. $29.4 million

2. 145.24

3. 145.24

4. 12.05

5.  D. ​No, because the sample is not representative of the whole population.

Step-by-step explanation:

1. The computation of range of the sample data is shown below:-

Range of the sample data = Maximum value - Minimum value

= 42 - 12.6

= $29.4 million

2. For the computation of variance of the sample data first, we need to find out the mean which is shown below:-

Mean = \frac{(42 + 40 + 39 + 32 + 21 + 18 + 16 + 14 + 13.7 + 12.6)  }{10}

= 24.83

The Variance of the sample data

= \frac{(42 - 24.83)^2 + ..... + (12.6 - 24.93)^2}{10 - 1}

= \frac{1307.161}{9}

=  145.24

3. The computation of the standard deviation of the sample data is shown below:-

The Standard deviation of the sample

= \sqrt{145.24}

= $12.05155592

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$12.05

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8 0
2 years ago
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