Answer: Angle 2 = 47 degree
Explanation:
Proof that triangle ACB ~ triangle CBD
Angle ABC = Angle CBD (same angle)
If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.
=> angle ACD = Angle CDB 
Therefore, triangle ACB ~ triangle CBD (AA)
=> angle C = Angle A
But angle A = 47 degree
Therefore, Angle C = Angle 2 = 47 degree
 
        
        
        
Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store.  Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30                                Equation 1
x  - 4y = 18                                Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store. 
 
        
                    
             
        
        
        
A kite would be the right answer
        
             
        
        
        
Gene earns 2% interest after depositing $150 into his account , Option D.
<h3>What is a Function ?</h3><h3 />
A function is a law that relates an independent variable and a dependent variable with each other.
The function given is 
f(x) = 0.02 x +150
Option D , Gene earns 2% interest after depositing $150 into his account 
So this verbal description matches the function given as it represents , the total account balance of Gene .
Therefore Option D is the correct answer.
To know more about Function
brainly.com/question/12431044
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Answer:
b = 1/2
Step-by-step explanation:
6x + 2 = 5
6x = 3
x = 1/2