4.) You have made a model tree for you 1:64 scale railroad that is 20cm tall. How tall in real life would this tree be? (1 meter
1 answer:
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Answer:
The difference is 48 meters
Step-by-step explanation:
<u><em>The question is</em></u>
What is the difference of the hikers' altitudes?
Let
x -----> the Melissa's altitude in meters
y ----> Brian's altitude in meters
we have that
---> is positive because is above sea level
---> is negative because is below sea level
Remember that the sea level is the altitude equal to zero
<em>Find the difference</em>
To find out the difference of the hikers' altitudes, subtract Brian's altitude from Melissa's altitude
so
Remember that (-1)(-1)=+1
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