Answer:
Length of BE is 
Step-by-step explanation:
The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.
Now, the two parts of triangle have equal area ∴ ar(ADE)=ar(BDEC)
⇒ 
⇒ 
In ΔABE and ΔABC,
∠A=∠A (Common)
∠ABE=∠ABC (Corresponding angles)
By AA similarity, ΔABE is similar to ΔABC.
Hence by area side proportionality theorem

⇒ 
⇒ 
⇒
units
Hence, length of BE is 
The expression is equivalent to 13(5x3y)+25y+7 is D
Answer:
65!
65! = 8. 2547650592 * 10^ 90 approximately
Step-by-step explanation:
A random number generator randomly generates a number from 1 to 65.
Once a specific number is generated, the generator will not select that number again until it is reset.
The number of ways it can be used is = 65!
65! = 8. 25476505* 10^ 90 approximately