1. Write a two-column proof for the following conjecture. You may not need to use all of the rows of the two-column table provid
ed below. You may also add additional rows if needed. Given: Parallelogram ABCD Prove: Angle A and B are supplementary. C and d are supplementary.
2 answers:
Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
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Answer:
1120 Eagles
Step-by-step explanation:
If the population of Eagles decreases by 4% percent each year, then in 2030 (which is 15 years later), the population would decrease by (4 × 15)%
that is 60%
This indicates that the population of bald eagles in the year 2030 would be 60% less of what it was in the year 2015.
so we have, × 2800
which gives us 1680
this means that the number of bald eagles in the year 2030 would be 1680 less than the number of bald eagles in the year 2015
hence 2800 - 1680
then the answer is 1120 Bald Eagles