Answer:
Step-by-step explanation:
Since they both contain 2y we can just subtract the second from the first to eliminate y
4x+2y-3x-2y=6-1
x=5, since 4x+2y=6 we have
4(5)+2y=6
20+2y=6
2y=-14
y=-7
So the solution point (x,y) is (5,-7)
Answer:
a. Angle Y is a right angle.
b. The measure of angle Z is 45°.
e. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. Then 2x is the measure of vertex angle Y, and the sum of angles is ...
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
so the triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of XZ is the altitude of the triangle XYZ. It creates two smaller right triangles with acute angles of 45°. Hence, those, too, are isosceles right triangles.
The answer is 15.25. Hope this helps