• A certain test consists of multiple-choice questions
1 answer:
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Answer:
A two column proof is presented as follows;
Statement Reason
1. AB ║ DE, BD bisects AE Given
2. ∠BAE = ∠AED, ∠ABD = ∠BDA Alternate ∠s are equal
3. =
,
=
By definition of bisection of line AE by BD
4. ΔABC ≅ ΔEDC By SAA, rule of congruency
Step-by-step explanation:
Step 1. AB ║ DE, BD bisects AE Given
Step 2. ∠BAE , ∠AED, and ∠ABD, ∠BDA are pairs of alternate angles formed by the parallel lines, AB and DE and are therefore, equal
Step 3. =
,
=
The bisection of line gives two lines of equal length. The bisection of AE by BD gives,
and
where
=
Similarly, the bisection of BD by AE gives, and
, where
=
Step 4. ΔABC ≅ ΔEDC By the Side-Angle-Angle (SAA), rule of congruency, which states that two triangles having two angles and the corresponding non included sides of each triangle equal to the other, the two triangles are congruent.
Answer:
78
Step-by-step explanation:
You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.
The equation version:
It is just proportions.