Answer:
Step-by-step explanation:
Since side BC = side AD (because opposite side of a parallelogram are congruent)
Angle C = angle A(because opposite angles of a parallelogram are congruent)
side DC = side AB(because the opposite sides of a parallelogram are congruent. Therefore,
Triangle ABD is congruent to triangle CDB by the postulate of SAS which means side angle side.
 
        
             
        
        
        
Answer:
2 to the power of 2 times 5 to the power of 1
= 20
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The modulus of the complex number 6-2i is:

Step-by-step explanation:
Given the number

We know that
  
 
where x and y are real and 
The modulus or absolute value of z is:

Therefore, the modulus of  will be:
  will be:




     
     
     
     
     
    
Therefore, the modulus of the complex number 6-2i is:

 
        
             
        
        
        
Answer:  
<u>Step-by-step explanation:</u>
Isolate w by performing the following steps
- Multiply by 6 on both sides to clear the denominator
- Subtract 3 from both sides
- Divide both sides by 2
![y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7Bw%7D%7B3%7D%5C%5C%5C%5C%5C%5C6%5Cbigg%5By%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7Bw%7D%7B3%7D%5Cbigg%5D%5Cquad%20%5Cimplies%20%5Cquad%206y%3D3%2B2w%5C%5C%5C%5C%5C%5C6y-3%3D3-3%2B2w%5Cquad%20%5Cimplies%20%5Cquad%206y-3%3D2w%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6y-3%7D%7B2%7D%3D%5Cdfrac%7B2w%7D%7B2%7D%5Cquad%20%5Cimplies%20%5Cquad%20%5Clarge%5Cboxed%7B%5Cdfrac%7B6y-3%7D%7B2%7D%3Dw%7D)