Q 5 For which pairs (m, n) is Km,n Eulerian (so tours are ok now). Hint: Split your argument into the cases where m is odd or even.

Suppose that the two angles are supplementary. Find expressions for the supplements, using the expressions provided in Exercise 28, parts a to c. For two complementary angles, find an expression for the measure of the second angle if the measure of first is: a x b (3x12) c (2x+5v)

Given: l1l2l3,AB=5,BC=x,DE=x2,EF=7 Find: x,BC,DE

Prove by the indirect method: Given: MPN is not isosceles Prove: PMPN

The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal area. In the figure, RST has median RV. a Explain why ARSV=ARVT. b If ARST=40.8cm2, find ARSV.

For exercises 34 and 35, EFis the median of trapezoid ABCD in the figure above. Suppose that EM=7.1andMF=3.5 Find: a AB b EF c DC d Whether EF=12(AB+DC)

Given: mn Transversal k m3=x23x m6=(x+4)(x5) Find: x and m4 Exercise 17-19

a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?

Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or false. a B lies between A and C. b AB is a ray with endpoint B.

Which type of path straight, curved, circular, or scattered is determined by: a a roller coaster? b a pencil? c a carousel? d darts thrown at a dartboard?