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:
B. 0.583
Step-by-step explanation:
Answer:
The domain is the set of all possible x-values
The range is the resulting y-values
- The range is the outside temperature is here
- Function is decreasing between x= 0 to 3
- It means the temperature is decreasing between midnight and 3 AM
Answer:
Add 4 positive unit tiles to each side.
Step-by-step explanation:
The original equation is:
3x - 4 = 2x + 5
After adding 4 positive unit tiles to each side, we get:
3x - 4 + 4 = 2x + 5 + 4
3x = 2x + 9
which simplifies the original equation, because at the beginning there were independent terms at both sides of the equal sign and now all independent terms are on the right side (the +9 term). Notice that the other options don't give this result.