Answer is in the file below
tinyurl.com/wpazsebu
 
        
                    
             
        
        
        
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
     tangent Ф = Opposite side / Adjacent side
-Substitution
     tan Ф = (x/4) / x
-Simplification
     tan Ф = x / 4x
     tan Ф = 1/4
-  Find Ф
      Ф = tan⁻¹(1/4) =  14°
- Find the other acute angle
   The sum of the internal angles in a triangles equals 180°
        Ф + Ф₁ + 90° = 180
-Solve for Ф₁ 
         Ф₁  = 180 - 90 - 14
-Result
         Ф₁ = 76°              
 
        
             
        
        
        
Answer:
x = 5/2 , y = -7/2
Step-by-step explanation:
 <em>r's</em><em> your</em><em> solution</em>
<em> </em><em> </em><em>=</em><em>></em><em> </em><em>formula</em><em> </em><em>for</em><em> </em><em>finding</em><em> </em><em>midpoint</em><em> </em><em>=</em><em>.</em><em>(</em><em> </em><em>X1</em><em> </em><em>+</em><em> </em><em>X</em><em>2/</em><em>)</em><em>/</em><em>2</em><em> </em><em>,</em><em> </em><em>(</em><em>Y1+</em><em>Y2)</em><em>/</em><em>2</em>
<em>=</em><em>></em><em> </em><em>putting</em><em> </em><em>the </em><em>value</em><em> </em><em>of </em><em>in </em><em>formula</em>
<em> </em><em> </em><em>=</em><em>></em><em> </em><em>x=</em><em> </em><em> </em><em>4</em><em>+</em><em>1</em><em>/</em><em>2</em><em> </em><em>,</em><em> </em><em>y </em><em>=</em><em> </em><em>-</em><em>1</em><em>-</em><em>6</em><em>/</em><em>2</em>
<em>=</em><em>></em><em> </em><em>x </em><em>=</em><em> </em><em>5</em><em>/</em><em>2</em><em> </em><em>,</em><em> </em><em>y </em><em>=</em><em> </em><em>-</em><em>7</em><em>/</em><em>2</em>
<em>hope</em><em> it</em><em> helps</em>
 
        
             
        
        
        
Answer:4/21
Step-by-step explanation:divide 6 by both sides
 
        
             
        
        
        
Slope-intercept form:  y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope =  (flip the sign from + to -, and flip the fraction)
   (flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope =  (flip the sign from - to +, and flip the fraction)
  (flip the sign from - to +, and flip the fraction)
y = 1/3x + 4        The slope is 1/3, so the perpendicular line's slope is  or -3.
 or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b       To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b     Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5