Evaluate c -2 when c equals 7.
1 answer:
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Answer:
The correct option is;
C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality
Step-by-step explanation:
The two column proof can be written as follows;
Statement, Reason
1. , Given
2. is a transversal , Conclusion from statement 1.
We note that ∠BDE and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.
Therefore, we have;
3. ∠BDE ≅∠BAC, Corresponding Angles Postulate
Also
4. ∠B ≅ ∠B, Reflexive Property of Equality
In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,
From ∠BDE + ∠B + ∠BED = 180°
∠BAC + ∠B + ∠BCA = 180°
Therefore, ∠BED = ∠BCA Substitution property of equality
Which gives;
5, ΔABC ~ ΔDBE, Angle Angle Similarity Postulate
6. BD/BA = BE/BC, Converse of the Side-Side-Side Similarity Theorem
Answer: 20 meters.
Step-by-step explanation:
The formula for calculate the area of a square is:
Where "s" is the side length of the square:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
Based on the information provided, you know the sum of the areas of the square land and the adjacent land is 600 m². This is:
Knowing that the width of the adjacent land is 10 meters:
Since the lenght of the adjacent land and the side lenght of his actual land are equal:
You can substitute this into :
Applying the Quadratic formula, you get:
Since the side lenght cannot be negative, you can determine that this is: