Answer:
Every group of 6 people has at least two uniform 3-person groups.
Step-by-step explanation:
Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.
There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.
If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.
Answer:
=2xy^3x(xy-3)
Step-by-step explanation:
2x^2y4-6xy^3
=2xy^3x(xy-3)
=2xy^3x(xy-3)
Answer:
The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.
Area of semicircle = 0.5π
= 0.5π×4.5 = 6.75 sq. inches
Not sure for (b)
Step-by-step explanation:
(a)55+80+x=180 (angles inside the triangle)
135+×=+180
x=180-135
x=45
