Read the following instructions carefully and apply those in your translation:
interpreting the statement indicator h as i am happy
interpreting the statement indicator t as i am troubled
let connective indicator & substitute the connective and
let connective indicator v substitute the connective or
let connective indicator ~ substitute the connective not
let connective indicator → substitute the connective if-then
let connective indicator ↔ substitute the connective if-and-only-if.
translate the following statements:
exercise #1. i am happy.
exercise #2. i am not happy.
exercise #3. i am troubled.
exercise #4. i am not troubled.
exercise #5. i am happy or i am troubled.
exercise #6. it is not both the case that i am happy and troubled.
exercise #7. if i am not happy, then i am troubled.
exercise #8. it is not the case that if i am happy, then i am troubled.
exercise #9. i am happy if and only if i am not troubled.
exercise #10. ~ (h v t)
exercise #11. ~ t → h
exercise #12. ~ h & ~ t

What values of c and d make the equation true?

Which equation represents the model shown? a)1/3 divide 1/6 = 2 b)2/3 divide 1/6 = 2/18 c)1/3 divide 1/6 = 1/18 d)2/3 divide 1/6 =4

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)