Forty five children attend a preschool. The number of two year olds is one half of the number of three year old's. The number of
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Answer: C. is the missing statement.
Explanation: Given: ΔABC with m∠ABC = 90° (view diagram)
Prove:
Proof: 1. Draw (construction)
2. (Angles with the same measure are congruent.)
3. (Reflexive Property of Congruence)
4. (AA criterion for similarity)
5. BC:DC=AC:BC (Corresponding sides of similar triangles are proportional.)
6. (cross multiplication)----------(1)
7. (Angles with the same measure are congruent)
8. (Reflexive Property of Congruence)
9. (AA criterion for similarity)
10. AB:AD=AC:AB⇒ --------------(2)
equation (1) + equation (2) ⇒⇒
Answer:
Average = 2000
Step-by-step explanation:
Given numbers are:
1,000 2,300 2,600
To find:
First round off the numbers to nearest 1000 and then find Average.
Solution:
1000 is already in thousands so no need to round off.
To round off a number to nearest thousand, we need check the digit on hundred's place.
- If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.
- If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.
So, 2300 will be rounded off as 2000.
and 2600 will be rounded off as 3000.
Now, the numbers whose average is to be calculated are 1000, 2000, 3000.
Formula for average is given as:
applying the formula:
So, the average after rounding off to nearest 1000 is 2000.