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
What do you need help with?
Answer: 17.5 units.
Step-by-step explanation:
The triangle LAY is a similar triangle to LYW. It has the same angle measures, but different side lengths. The hypotenuse of LAY is the line LY, while the hypotenuse of LYW is the line LW.
We can use the line LY to find LW.
Use the Pythagorean Theorem to find LY:
(3.5)^2 + 7^2 = 61.25
So, LY has a length of .
You can then use proportions to find the distance of LW.
The line LA is the base of the smaller triangle, and the line LY is the base of the larger triangle.
The line LY is the hypotenuse of the smaller triangle, and the line LW is the hypotenuse of the larger triangle.
You can then cross multiply to get this equation:
So, the line LW has a length of 17.5.
Answer:
Step-by-step explanation:
Go
5w+12=67
-12 -12
5w=55
w=11
first, subtract 12 from both sides. second, divide 5 on both sides