Trent earns scores of and on three chapter tests for a certain class. his homework grade is and his grade for a class project is . the overall average for the course is computed as follows: the average of the three chapter tests makes up of the course grade; homework accounts for of the grade; the project accounts for ; and the final exam accounts for . what scores can trent earn on the final exam to pass the course if he needs a "c" or better? a "c" or better requires an overall score of or better, and is the highest score that can be earned on the final exam. assume that only whole-number scores are given.

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

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)

Fast! find the length of cu. the triangles are similar. show your work.