The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
Answer:
D: 50 Square Units
Step-by-step explanation:
The correct answer is " (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "
It is assumed that the points are
A in ABC is (1,9), B in ABC is (3,12), and C in ABC is (4,4).
A'' in A''B''C'' is (3,-3), B'' in A''B''C'' is (5,-6), and C'' in A''B''C'' is (6,2).
Both triangles are congruent. Since they are congruent, there are no contractions nor dilations occured. After rotating clockwise, we get A"C"B". So we need to reflect it to get A"B"C"
hope this helped :D
Here is the correct answer.
4x + 108 = 144(equation)
-108 -108 (Subtract 108 both sides)
4x = 36 (simplify)
/4 /4 (divide by 4)
x = 9 (Answer)
