In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.
In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.
Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.
Since 6 + 8 = 14 this is the longest that the third side can be.
The answer is B
Well your are going to find the factors of both 6 and 8 and you will eventually find the the least common multiple for both of them is 24.
Time taken=distance/speed
778000000000/300000000
=2593.33seconds
=43.22 minutes
The formula for perimeter is 2l+2w. Since we know l=(w-4)-9, we can substitute this into the formula.
l=w-13
2(w-13)+2w=143
2w-26+2w=143
4w=169
w=42.25 units
Hope this helps!
