Answer:
3,160,080
Step-by-step explanation:
- The first place can be taken by any one of the 22 students.
- The second place can be taken by any one of the remaining 21 students.
- The third place can be taken by any one of the remaining 20 students.
- The fourth place can be taken by any one of the remaining 19 students.
- The fifth place can be taken by any one of the remaining 18 students.
<em>This basically means multiplying 22, 21, 20, 19, and 18. Or, the number of permutation of 22 things taken 5 at a time.</em>
The answer is 22*21*20*19*18 = 3,160,080
<em>Using formula 
</em>
Change of y / over change of x
Go over 4, up 45
B is your correct answer
Hope this helps!
Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
