A parallelogram is a figure which has its <em>opposite</em> sides to be <u>equal</u> and <u>parallel</u>. The <em>missing</em> reason in the proof is:
B. Substitution Angle Angle Postulate.
A <em>parallelogram</em> is a type of quadrilateral that has its <u>opposite</u> sides to be equal and parallel. The sum of its <em>internal</em> angles is
.
To <u>prove</u> that ∠ BAD ≅ ∠ DCB, we have:
Given parallelogram ABCD;
<BAC ≅ <ACD (alternate angle theorem)
<DAC ≅ <ACB (alternate angle theorem)
<BAC + <DAC = <BAD
Also,
<BCA + <DCA = <BCD
Therefore,
<BAD ≅ <DCB (Substitution Angle Angle Postulate)
Thus, the <u>missing</u> reason in the partial proof is:
option B. Substitution Angle Angle Postulate
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Answer:
29
Step-by-step explanation:
180-151=29
Answer:
a=
1/0
Step-by-step explanation:
Using weighed averages, it is found that:
- The final grade is 91.
- The final grade is 66.8.
- The higher grade would be 79.55, with the second grading scheme.
- On average, she sold $48,280 per day.
- On average, she makes $12.5 per hour.
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To find the weighed average, we multiply each value by it's weight.
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Question 1:
- Grade of 91, with a weight of 67%.
- Grade of 91, with a weight of 33%.
Thus:

The final grade is 91.
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Question 2:
- Grade of 83, with a weight of 40%(highest grade).
- Grade of 60, with a weight of 30%.
- Grade of 52, with a weight of 30%.
Thus:

The final grade is 66.8.
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Question 3:
With teacher 1:
- 75 with a weight of 25%.
- 80 with a weight of 10%.
- 85 with a weight of 40%.
- 62 with a grade of 25%.
Thus:

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With teacher 2:
- 75 with a weight of 15%.
- 80 with a weight of 10%.
- 85 with a weight of 60%.
- 62 with a weight of 15%.
Thus:

The higher grade would be 79.55, with the second grading scheme.
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Question 4:
- Average of $36,432, with a weight of

- Average of $51,834, with a weight of

Thus:

On average, she sold $48,280 per day.
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Question 5:
- Average of $14.84, with a weight of

- Average of $10.76, with a weight of

Thus:

On average, she makes $12.5 per hour.
A similar problem is given at brainly.com/question/24398353