Given: triangle xyz, segment xy is congruent to segment zy, and yw bisects angle xyz. prove that angle ywz is a right angle.

Step-by-step explanation:

YW bisects the angle XYZ (given)

considering Δ XYZ segment XY≅YZ given.

∠X≅∠Z angles of opposite equal sides are equal

a triangle having two equal sides is an isosceles triangle. Isosceles triangles have one 90 degrees angles as the total sum of the three angles of a triangle must equal 180 degrees.Therefore ∠Y=90 degrees

but segment YW bisects the angle Y so ∠ZYW= 45 degrees but ∠Z=45 degrees (ΔXYZ is a right angled isosceles triangle)

so ∠YWZ=90 degrees as ΔYWZ is also right angled isoseles triangle having two sides equal to 45 and third = 90 degrees.

Hence segmnet YW is perpendicular on segment XZ

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.