This answer to this question is 4
Answer:
Congruent
Step-by-step explanation:
The alternate interior angle theorem states that if two lines are parallel and are interesected by a line, the alternate angles on either side of the interior of the line are congruent. Angles two and three, in the interior, which are not shown, are also congruent and are both supplementary to 1 and 4.
-5 - (-14)
-5 + 14 (due to same, change, change rule)
9
The distance is 9 units.
Line 1:
Expanding the vertex form, we have
x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
• the three expressions are equivalent on Line 1
Line 2:
Expanding the vertex form, we have
x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
• the three expressions are NOT equivalent on Line 2
The appropriate choice is
Line 1 only
