Happy New Year from MrBillDoesMath!
Answer:
Proof by ASA congruence postulate. See below
Discussion:
Fact 1 : angle A = angle T (given)
Fact 2: The angles on both sides of point X are equal as vertical angles
are equal.
From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so
In the left triangle In the right triangle
(angle M, side AM, angle A) = (angle H, side TH, angle T)
Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.
Thank you,
MrB
X2 + x1 divided by 2. then y2 +y1 divided by 2. = midpoint, I think.
Answer:20.7
Step-by-step explanation:
Answer: 15
Step-by-step explanation: Label the tree with 4m for the height of the tree and the base of the triangle 15m for the shadow it cast. The angle is adjacent to 15m and opposite to 4m making the equation you use tanx=4/15 which when you solve becomes tan^-1(4/15) which gives you 15.
