Claudia works at a sweet shop making chocolate-dipped bananas. Sometimes she drops the chocolate-dipped bananas before she can get them to the freezer. Claudia earns 20 cents for every frozen banana that she makes. She loses 5 cents for each frozen banana that she drops. Last Wednesday, Claudia dipped 48 frozen bananas, but not all of them made it to the freezer. She earned a total of $7.60. How many bananas were dropped and how many made it to the freezer? Define your variables and write a system of equations representing this situation. Solve the system by using either graphing, substitution, or elimination.

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)

Given: ab ≅ bc and ao ≅ oc ok − angle bisector of ∠boc find: m∠aok

The first triangle is dilated to form the second triangle. select true or false for each statement. statement true false the scale factor is 0.625. the scale factor is 1.6. a right triangle with a side length of .5. an arrow points to a larger right triangle with a side length of .8