Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
Answer:
<FGH and <JKL are supplementary
<AED and <BEC are complementary
Step-by-step explanation:
For supplementary angles, the sum of the pair of angles must be 180degrees
Given;
<FGH = 109degrees
<JKL = 71degrees
Taking the sum
<FGH + <JKL
= 109 + 71
= 180
Since the sum of the angles is 180, hence <FGH and <JKL are supplementary
Similarly;
Given
<AED = 45degrees
<BEC = 45degrees
Taking the sum
<AED + <BEC
= 45 + 45
=90degrees
Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary
Answer:
D. The two triangles are congruent because a translation does not change size and shape.
Step-by-step explanation:
I'm pretty sure that D is the answer. It jut basically moved , didn't change anything.