90
Step-by-step explanation:vkjl
 
        
             
        
        
        
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.
 
        
             
        
        
        
Answer:
Option D
Step-by-step explanation:
Whenever we take a square root of a number the ± sign is with it like here in the question

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.
 
        
             
        
        
        
Answer:
62-0.75x8
Step-by-step explanation
$6=discount
8 tickets
Total=62.00
0.75 multiplied by 8= 6
62-6=56
56 is before the discount
Equation would be 62-0.75x8
 
        
             
        
        
        
Depth of Hank descends = The point he reached - the point where he worked initially
                                           = 57 - 10
                                           = 47 ft
Hence, Hank descends 47 ft.