Since this is a right triangle, you can use the pythagorean theorem,  , to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:
, to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:

In short, XY is √514, or 22.67 rounded to the hundreths, units long.
 
        
                    
             
        
        
        
Answer:
-0.3n + 0.6
Step-by-step explanation:
if we write out the entire expression we have:
0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)
then we add and subtract
and receive
-0.3n + 0.6
 
        
                    
             
        
        
        
Answer:
Answer:
Length of leg of triangle =  
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle = 
Step-by-step explanation:
 
        
                    
             
        
        
        
2.485 is round to 450 and 450 divide by 15 equals 30. 485 divide by 15 32 r 5
        
             
        
        
        
Answer:
-  ∠R = 56° 
-  ∠Q = 90°
-  ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle. 
So, the angles in the triangle are : 
- 90° 
- (2x + 38)° 
- (5x - 11)°
Solving according to <u>angle sum property</u>, 
Sum of all angles in a triangle is 180° 
 90° + (2x + 38)° + (5x - 11)° = 180°
 90° + (2x + 38)° + (5x - 11)° = 180°
 117° + 7x = 180°
 117° + 7x = 180°
 7x = 180° - 117°
 7x = 180° - 117° 
 7x = 63°
 7x = 63°
 x = 9
 x = 9 
Angles = 
 2(9) + 38
 2(9) + 38
 56°
 56° 
 5(9) - 11
 5(9) - 11
 34°
 34° 
-  ∠R = 56°
-  ∠Q = 90°
-  ∠S = 34°
The angles are 56°, 90° and 34°.