Answer:
41
Step-by-step explanation:
Divide 2818 by 70 and it comes out to: 40.2571429 it is not 40 because their is still some left over so there will be 41 ferry's and one of them will not be a full ride!
Answer:
x=2
Step-by-step explanation:
Since rectangles have 90* angles at each corner, we can say the two equations in the corner equal to 90*
so,
13x+34+10x+10=90
23x+44=90
23x=46
x=2
Answer:
Answer: 6^2
Step-by-step explanation:
Givens
- Express the integers raised to a power as integers.
- 10^2 = 100
- 4^3 = 64
Solution
- Subtract 64 (which is 4^3) from 100. See if what is left is a power of 6
- 100 - 64 = 36 Yes the remainder is 36
- 36 = 6*6 = 6^2
If points A, E and C are colinear, then they lie on the same line. The same statement you can say about points B, F and D.
1. Consider triangles AOC and BOD. In these triangles:
- AO≅OB (given);
- CO≅OD (given);
- ∠AOC≅∠BOD (as vertical angles).
Thus, ΔAOC≅ΔBOD by SAS Postulate (If any two corresponding sides and their included angle are the same in both triangles, then the triangles are congruent). Corresponding parts of congruent triangles are congruent, then
- AC≅BD;
- ∠ACO≅∠BDO;
- ∠CAO≅∠DBO.
Since angles ACO and BDO are alternate interior angles between lines AE and BF with transversal CD and these angles are congruent, then lines AE and BF are parallel.
This gives you that
2. Consider triangles ECO and FDO. In these triangles
- ∠CEO≅∠OFD (previous proof);
- CO≅OD (given);
- ∠ECO≅∠ODF (previous proof).
Therefore, ΔECO≅ΔFDO by AAS Postulate (if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent). Then CE≅FD.
3. Note that
Since AC≅BD and CE≅DF, then AE=AC+CE=BD+DF=BF.
A ÷ a% = a ÷a/100 = a x 100/a = 100
Any number divided by its percentage = 100
