2.43 x 10^2
Hope this helps
        
                    
             
        
        
        
Answer:
Y = 90 
X = 52
Step-by-step explanation:
Y is on a straight line. The sum of the angles on a straight line is 180. 
The only other angle (that is marked) on this straight line, is a 90 degree one. So, <y + 90 = 180.
<y = 90. 
Now <x + 38 = 90
so, x = 52
 
        
             
        
        
        
Tough call.  
You may have to use Newton's Method or something like that.
Graph y=2^x and then graph n/x on the same set of axes.  You may have to assign some arbitrary value to n to make this work.  From the graph you can read off the approximate coordinates of the point of intersection.
        
             
        
        
        
Answer:
Second choice:


Fifth choice:


Step-by-step explanation:
Let's look at choice 1.


I'm going to subtract 1 on both sides for the first equation giving me  . I will replace the
. I will replace the  in the second equation with this substitution from equation 1.
 in the second equation with this substitution from equation 1.

Expand using the distributive property and the identity  :
:




So this not the desired result.
Let's look at choice 2.


Solve the first equation for  by dividing both sides by 2:
 by dividing both sides by 2:
 .
.
Let's plug this into equation 2:



This is the desired result.
Choice 3:


Solve the first equation for  by adding 3 on both sides:
 by adding 3 on both sides:
 .
.
Plug into second equation:

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:



Not the desired result.
Choice 4:


I'm going to solve the bottom equation for  since I don't want to deal with square roots.
 since I don't want to deal with square roots.
Add 3 on both sides:

Divide both sides by 2:

Plug into equation 1:

This is not the desired result because the  variable will be squared now instead of the
 variable will be squared now instead of the  variable.
 variable.
Choice 5:


Solve the first equation for  by subtracting 1 on both sides:
 by subtracting 1 on both sides:
 .
.
Plug into equation 2:

Distribute and use the binomial square identity used earlier:



 .
.
This is the desired result.
 
        
                    
             
        
        
        
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A 
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles