Check the picture below
if that red segment, GJ, is parallel to the AE base segment of the triangle, then, the segment GJ is the midsegment of the triangle, and by the side-splitter theorem, those two triangles are similar.
By definition, the area of a triangle is given by:
A = (1/2) * (b) * (h)
Where,
b: base
h: height
The area of the original triangle is 3 mm² and is dilated by a factor of 6. We have then
A = (1/2) * (6b) * (6h)
A = (1/2) * (b) * (h) * (6) * (6)
A = 3 * (6) * (6)
A = 108 mm²
answer
The area of the dilated triangle is 108 mm²
Answer:
4x^2 + 12x + 9.
Step-by-step explanation:
(2x+3)^2
= (2x+3)(2x+3)
= 2x(2x+3)+3(2x+3)
= 4x^2 + 6x + 6x + 9
= 4x^2 + 12x + 9.
Answer:
Step-by-step explanation:
We can write the following system of equations:
Let the first number be 
and the second number be 
:
Solving, we get:
Solving for :
Answer:
D
Step-by-step explanation:
Answer D is correct. The indicated line segments are both radii of the circle and are thus of the same length (and thus, congruent).
