Answer: ∠ABE=20°
Step-by-step explanation:
∵ AB=BC
∴ ΔABC is a isosceles triangle
∵ ∠A=30
∴ ∠C=30
∵ The interior angle sum of triangle is 180°
∵ ∠A+∠B+∠C=180
     30+∠B+30=180
            ∠B+60=180
                   ∠B=120 (∠ABC)
∵ ∠EBD+∠ABE+∠ABC=linear pair
∴∠EBD+∠ABE+∠ABC=180°
                   4x+2x+120=180
                         6x+120=180
                                 6x=60
                                   x=10
∠ABE=2x=2(10)=20°
Hope this helps!! :)
Please let me know if you have any question
 
 
        
             
        
        
        
Answer:
the unknown angle is 88°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the opposite interior angles. Therefore, in the tall triangle, 60 + 40 = 100, meaning the bottom left angle in the small triangle is 100-64=36. And b/c angle sum of a triangle is 180°, 180-36-56=88°
 
        
                    
             
        
        
        
Answer:
Below 
Step-by-step explanation:
To find the rate we have to divide
2/3=.67
then we can multiply all the numbers by .67
1=.67
2=1.34
5=3.35
10=6.7
Desmos is hard sometimes :)
 
        
                    
             
        
        
        
Answer: t is less than or equal to 7. 
Step-by-step explanation: 
6t - 3 is less than or equal to 39. 
Add 3 to both sides. 
6t is less than or equal to 42.
Divide by 6.
t is less than or equal to 7.