There is only one such triangle.
_____
You know this because the given angle is opposite the longest given side. You only have ambiguous cases if the given angle is opposite the shorter of two given sides.
Answer:
25
Step-by-step explanation:
Segment XY = 10
Segment XZ = 15
Since the lenght of segment WX is said to be congruent to the lenght of segment XY, therefore:
WX = XY = 10
Segment WX + Segment XZ = Segment WZ (segment addition postulate)
(substitution)
Length of segment WX = 25
Steb by step:
3x + x +20 + 32 =180°
4x +52 = 180°
-52 from both sides
4x = 128
divide both sides by 4
x = 32°
Y = 5x is the answer and you can double check by looking at the coordinates
Answer:
1. The tetrahedron has 4 vertices, 6 edges and 4 faces. Then V-E+F=4-6+4=2
2. The cube has 8 vertices, 12 edges and 6 faces. Then V-E+F=8-12+6=2
3. The octahedron has 6 vertices, 12 edges and 8 faces. Then V-E+F=6-12+8=2
4. The icosahedron has 12 vertices, 30 edges and 20 faces. Then V-E+F=12-30+20=2
5. The dodecahedron has 20 vertices, 30 edges and 12 faces. Then V-E+F=20-30+12=2.