Prove that the diagonals of a rectangle bisect each other. the midpoint of is _____
1 answer:
In this attached picture, we can prove that triangles AOB and COD are congruent. ∠CDO and ∠ABO are equal because they are alternate angles. Similarly, ∠OAB and ∠OCD are equal because they are alternate angles, as well. We have a rectangle and in the rectangle, opposite sides are equal; AB = CD. Then, because of Angle-SIde-Angle principle, we can say that triangles AOB and COD are equal. If triangles are congruent, then OD = OB and OC = AO. Applying congruency to the triangles ACD and BCD, we can see that these triangles are also congruent. It means that the diagonals are equal. Since, OD = OB and OC = AO, it proves that the point O simultaneously is the midpoint and intersection point for the diagonals.
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Answer:
So total number which is not divisible by 11 = 89999-8181 = 81819
Step-by-step explanation:
We have to find the total numbers which are not divisible by 11 from 10000 to 99999
Total number from 10000 to 99999 = 99999-10000+1=90000
Just after 10000 the number which is divisible by 11 is 10010
And just below 99999 the number which is divisible by 11 is 99990
Using AP formula
, here a is first term, d is common difference and n is number of terms
So
n-1 = 8180
n= 8181
So total number which is not divisible by 11 = 90000-8181 = 81819