Answer:
m=2/5
Step-by-step explanation:
Use the Slope-intercept form y=mx+b to find the slope m.
 
        
             
        
        
        
The miles he drove North on Avenue B is 24 miles. 
<h3>What is Pythagoras theorem? </h3>
According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides. 
The Pythagoras theorem: a² + b² = c²
Where: 
- a = length
- b = base = 7 miles
- c = hypotenuse = 25 miles
<h3>How many miles did he drive north of Avenue B? </h3>
25² - 7² 
625 - 49 = 576
√576 = 24 miles
Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
 
        
             
        
        
        
Answer:
42°
Step-by-step explanation:
The interior angles of a triangle always add to 180 degrees.
90+48+x=180
x=180-90-48
=42
x is 42°
 
        
             
        
        
        
There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2.  Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5  => x=7.6*3/5=
4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=
12.67 cmThe theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.