Answer:
<h2>x = 10√3</h2>
<u>Step-by-step explanation:</u>
cos 45° = base / hypotenuse
1/√2 = base / 15√2
15√2 = base√2
Base, = 15
sin 60° = perpendicular / hypotenuse
hypotenuse = x
√3/2 = 15 / x 
x √3 = 30
x = 30 / √3
x = 10√3
 
        
                    
             
        
        
        
Answer:
The length of the base of the triangle is 19.4 inches. 
 
        
             
        
        
        
Answer:
 
 
Step-by-step explanation:
The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each. 
Therefore, the opposite angles of the above quadrilateral are supplementary.
This means:
 , and
 , and
 
 
Find the measure of d:
 
 
Subtract 57 from both sides.
 
 
 
 
 
        
             
        
        
        
One vertex the rectangle lies on the straight line x + y = 6, which means that the sum of lengths of two adjacent sides is 6. Then the perimeter is 12 cm.
        
             
        
        
        
Answer:
1/8 is the bigger fraction
Step-by-step explanation:
When comparing fractions with different denominators, and the numerator is one, like 1/8. The one with the smaller number for the denominator is greater.
You could also compare them by finding common denominators, so for 1/8 and 1/9, a common denominator would be /63. So you would take  and multiply that by
 and multiply that by  . You would then get
. You would then get  . When you take
. When you take  times
 times  you get
 you get  . So when comparing you can see that 1/8 is greater than 1/9.
. So when comparing you can see that 1/8 is greater than 1/9.