Answer:
m∠K =m∠N
HJ/MP=JK/PN
Step-by-step explanation:
The picture of the question in the attached figure
we know that
if two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
<u><em>Verify each statement</em></u>
case a) we have
m∠K =m∠N
The statement is true
Because, angle K and angle N are corresponding angles, and remember that in similar figures corresponding angles are congruent
case b) we have
HJ≅MP
The statement is false
Segment HJ and segment MP are proportional, not congruent
case c) we have
m∠J≅m∠N
The statement is false
Because angle J and angle N are not corresponding angles
case d) we have
HJ/MP=JK/PN
The statement is true
Because, the ratio of its corresponding sides is proportional
so

Answer:
65 miles
Step-by-step explanation:
There are two simultaneous equations
. Remeber that v=d/t, 1hour = 60 minutes.
1. 40 = (d+15)/(t+0.5)
2. 50 = d/t
solving: d= 25 miles and t=0.5 hours.
The distance traveled is:
D=d+d+15
D=65 miles
The steepness of the slope for directly proportional relationships increases as the value of the constant m (y = mx) increases. In our two speed examples, the change in steepness of slope represents the change in speed or the change in the unit rate.
The answer is B, because if you were to write it out first you could modify the equation to look like that and still be true.
The answer should 21 degrees