You are fishing at Lake hilton and intend to catch two types of fish: salmon and trout. Local fishing laws allow you to catch at most 10 salmon and at most 8 trout. You intend to capture more salmon than trout. You need to catch at least 5 fish for the family dinner tonight. Let x = the number of salmon and y = the number of trout. Which of the following inequalities are needed to represent this system? Choose all that apply. * y > x

x ≤ 8

x + y > 5

y ≤ 10

y ≥ 0

x ≤ 10

x > y

x ≥ 0

x + y ≥ 5

y ≤ 8

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)