Math Rules PDF

# Important Rules in Math ## Circle Inscribed in a Square - Side = diam = 2r - r = side / 2 - diag = side x sqrt(2) - side / diag = 1 / sqrt(2) - v of cube = S³ - SA of Cube = 6S² - SA of Cylinder = 2πrh + 2πr² - SA of rectangular prism = 2lw + 2wh + 2lh - SA of any...

# Important Rules in Math ## Circle Inscribed in a Square - Side = diam = 2r - r = side / 2 - diag = side x sqrt(2) - side / diag = 1 / sqrt(2) - v of cube = S³ - SA of Cube = 6S² - SA of Cylinder = 2πrh + 2πr² - SA of rectangular prism = 2lw + 2wh + 2lh - SA of any prism = perimeter of base x h + 2 base area - SA of Square pyramid = 2(side)(slant) + base area - SA of right prism = 2 base area + perimeter of base x h - SA of Cone = πr²+πr(slant) - SA of right Pyramid = base area x 1/2 + perimeter of base x slant h / 2 - Total Cost = volume x unit cost - To get Slant height = sqrt(h²+r²) - Density = mass/volume or population/area - SA of Sphere = 4πr² - SA of right cone = πr² + πr x S ### Quadratics - Standard * ax²+bx+c * vertex = -b / 2a - Standard form of Circle * (x - h)² + (y - k)² = r² * Center = (h, k) - Expanded Form * x² + y² + ax + by + c = 0 * Center = (-a/2, -b/2) * r = sqrt( a²/4 + b²/4 - c) ## Square Inscribed in Circle - Diagonal = diam = 2r ## Sum = - product = - time = distance / speed ## Congruent - SSS, SAS, AAS, ASA, HL ## Similar - SSS, SAS, AA ## ax + by = c - Slope = -a/b - y-int = c/b - x-int = c/a ## Radian, Degree - Degree > Radian ## Soh Cah Toa - Sin = opp/hypo - Cos = adj/hypo - Tan = opp/adj ## b²-4ac ≥ 0 - b²-4ac / 2a = coors - b²-4ac = 0 1 r.s - b²-4ac < 0 no r.s ## Sum of Interior = (n - 2) x 180 - Each Interior = (n - 2) x 180 / n - Sum of exterior = 360 - Each exterior = 360 / n ## A = S² - A = 1/2d² ## 2x + 4 = 2x + 4 - No ## 2x + 4 = 2x + 6 - One X ## 2x = 4x - Many ## Circumference of circle = 2πr ## Length of arc = θ/360 x 2πr ## Area of Sector = θ/360 x πr² ## 60 - 30 - 90 Triangle ## 45 - 45 - 90 Triangle ## ✓ of right Square Prism = S x S x h ## Right Isosceles Triangle ## Equilateral Triangle ## Euclidean - right angles up and down - 6/8 = x / 6 - 8/x = 6/8 - x + x = 180 ## Special Triangles - angles of Δ add up to 180 - angles of □ add up to 360 - Exterior → add two angles away from it ## P(t) = 220(0.40)^t - dec% = 100 - 40 = 60% - P(t) = 220(0.40)⁴ = month/year ## P(t) = 220(1.04) ^3t - inc 4% year - P(t) = 220(1.04)⁹ = inc x 12 = 9 - P(t) = 220(1.04)²⁴ = inc x 12 = 6 ## f(x) = 21(1.30)^x - f(x) inc by p% for every inc - x by 6 - 220(1.04)^x / 12 = 220(1.30)^t - inc = (1.30)⁶ = 1.69 - inc = 169% - (169 - 100) = 69 # 2024 SAI ## Word Breakdown 1. **amass** (verb) - to gather together or accumulate over time - **Breakdown**: A- (toward) + **MASS**- (mass, collection) 2. **conflate** (verb) - to combine two or more ideas, pieces of information, or things into one - **Breakdown**: **CON**- (together) + **FLAT**- (blow, flatten) + -**E** (verb suffix) 3. **desultory** (adj) - lacking a plan, purpose, or enthusiasm; erratic or random - **Breakdown**: **DE**- (down) + **SULT**- (jump) + -**ORY** (related to) 4. **ambiguous** (adj) - open to or having two or more possible meanings or interpretations - **Breakdown**: **AMBI**- (both) + **IG**- (do) + -**OUS** (full of) 5. **demarcation** (noun) - the act, process, or result of marking off a boundary; an established line of separation - **Breakdown**: **DE**- (down) + **MARC**- (boundary) + -**ATION** (action) 6. **evince** (verb) - to show or demonstrate convincingly; to prove - **Breakdown**: **E**- (out) + **VINC**- (overcome) 7. **mitigate** (verb) - to lessen or make less severe - **Breakdown**: **MIT**- (mild) + **IG**- (drive) + -**ATE** (to make) 8. **nebulous** (adj) - uncertain, ambiguous, or vague; difficult to understand or describe; nebular - **Breakdown**: **NEB**- (cloud) + -**UL** (relating to) + -**OUS** (full of) 9. **recalcitrant** (adj) - extremely stubborn and unwilling to obey; hard to deal with or manage - **Breakdown**: **RE**- (back) + **CALC**- (heel) + -**ANT** (inclined to) 10. **sanguine** (adj) - confidently cheerful and optimistic, sometimes to an unrealistic extent; hopeful; ruddy or reddish in color - **Breakdown**: **SANG**- (blood) + -**INE** (quality) 11. **vindicate** (verb) - to clear from guilt or accusation; to uphold or defend; to justify or redeem - **Breakdown**: **VIN**- (force) + **DIC**- (show) + -**ATE** (to do) 12. **discretion** (noun) - the quality of being careful about what one says or does; freedom to decide - **Breakdown**: **DIS**- (apart) + **CRE**- (separate) + -**TION** (action) 13. **earnest** (adj) - showing sincere and intense conviction or seriousness - **Breakdown**: **ERN**- (serious) + -**EST** (superlative ending) 14. **inconspicuous** (adj) - not easily seen or noticed; not conspicuous - **Breakdown**: **IN**- (not) + **CON**- (together) + **SPIC**- (look) + -**UOUS** (full of) 15. **induce** (verb) - to bring about or cause something to happen - **Breakdown**: **IN**- (into) + **DUCE**- (lead) 16. **intercede** (verb) - to intervene or act on behalf of someone else - **Breakdown**: **INTER**- (between) + **CED**E- (go) 17. **misanthropic** (adj) - having a dislike or distrust of people - **Breakdown**: **MIS**- (wrong, bad) + **ANTHROP**- (human) + -**IC** (pertaining to) 18. **nominal** (adj) - existing in name only; insignificant - **Breakdown**: **NOM**- (name) + -**INAL** (related to) 19. **notional** (adj) - related to concepts or ideas rather than reality - **Breakdown**: **NOT**- (idea) + -**IONAL** (pertaining to) 20. **placate** (verb) - to make someone less angry or hostile; to calm - **Breakdown**: **PLAC**- (calm) + -**ATE** (to make) 21. **preclude** (verb) - to prevent something from happening or make it impossible - **Breakdown**: **PRE**- (before) + **CLU**- (close) + -**DE** (verb suffix) 22. **veritable** (adj) - used to emphasize that something is truly or undoubtedly something - **Breakdown**: **VER**- (true) + -**ITABLE** (able to be) 23. **apt** - adj. accurate or appropriate - **Breakdown**: **APT**- (fit) + - (suffix for adjective) 24. **assertion** - n. statement - **Breakdown**: **AS**- (toward) + **SERT**- (join) + -**ION** (noun suffix) 25. **assiduous** - adj. showing great care - **Breakdown**: **AS**- (toward) + **SED**- (sit) + -**OUS** (full of) 26. **bane** - n. source of distress or harm - **Breakdown**: **BANE**- (cause of death) 27. **beguile** - v. charm or enchant - **Breakdown**: **BE**- (thoroughly) + **GUILE**- (deceive) 28. **beneficial** - adj. helpful - **Breakdown**: **BENEF**- (good) + -**ICIAL** (relating to) 29. **berate** - v. scold or criticize - **Breakdown**: **BE**- (intensifier) + **RATE**- (reprove) 30. **bereft** - adj. deprived or lacking - **Breakdown**: **BE**- (away) + **REFT**- (robbed) 31. **blandishment** - n. a flattering statement used to persuade someone - **Breakdown**: **BLAND**- (gentle) + **ISH**- (act) + -**MENT** (noun suffix) 32. **bias** - n. prejudice - **Breakdown**: **BIAS**- (incline) 33. **bolster** - v. support - **Breakdown**: **BOLST**- (to stuff, pad) 34. **bombastic** - adj. inflated - **Breakdown**: **BOMBA**- (pompous) + -**STIC** (pertaining to) 35. **bovine** - adj. cow-like - **Breakdown**: **BOV**- (cow) + -**INE** (related to) 36. **braggart** - n. someone who boasts - **Breakdown**: **BRAG**- (boast) + -**ART** (person) 37. **brevity** - n. concise - **Breakdown**: **BREV**- (short) + -**ITY** (quality) 38. **cacophony** - n. a discordant mixture of sounds - **Breakdown**: **CAC**- (bad) + **PHONE**- (sound) 39. **cajole** - v. persuade someone via flattery - **Breakdown**: **CA**- (toward) + **JOL**- (charm) 40. **callous** - adj. cruel disregard for others - **Breakdown**: **CALL**- (harden) + -**OUS** (full of) 41. **calumny** - n. slander - **Breakdown**: **CAL**- (accuse) + -**UMNY** (falsehood) 42. **camaraderie** - n. friendship - **Breakdown**: **CAMAR**- (comrade) + -**ADERIE** (quality) 43. **candid** - adj. truthful - **Breakdown**: **CAND**- (pure) + -**ID** (having quality) 44. **candor** - n. quality of being honest - **Breakdown**: **CAND**- (pure) + -**OR** (state) 45. **carouse** - v. drink and party in a lively way - **Breakdown**: **CARO**- (rowdy) + -**USE** (verb suffix) 46. **carp** - v. complain about trivial matters - **Breakdown**: **CARP**- (complain) 47. **catastrophic** - adj. involving large-scale damage, usually sudden - **Breakdown**: **CATA**- (down) + **STROPH**- (turn) + -**IC** (pertaining to) 48. **cavort** - v. dance around excitedly - **Breakdown**: **CAV**- (skip) + **VORT**- (move) 49. **censorious** - adj. critical of others - **Breakdown**: **CENSOR**- (judge) + -**IOUS** (full of) 50. **circumlocution** - n. using many words, particularly in an evasive way - **Breakdown**: **CIRCUM**- (around) + **LOCU**- (speak) + -**TION** (noun suffix) 51. **circumscribe** - v. restrict within limits - **Breakdown**: **CIRCUM**- (around) + **SCRIB**- (write) 52. **clamor** - n. a loud and confused noise - **Breakdown**: **CLAM**- (cry out) + -**OR** (noun suffix) 53. **clout** - n. influence or power - **Breakdown**: **CLO**- (strike) + **OUT**- (with force) 54. **cognizant** - adj. having knowledge of - **Breakdown**: **COGN**- (know) + -**IZANT** (having) 55. **commensurate** - adj. equal to - **Breakdown**: **COM**- (with) + **MEN**- (measure) + -**SURATE** (having) 56. **comparable** - adj. similar to another thing - **Breakdown**: **COM**- (together) + **PAR**- (equal) + -**ABLE** (able) 57. **complement** - v. add to or make complete - **Breakdown**: **COM**- (together) + **PLET**- (fill) 58. **compunction** - n. a feeling of guilt - **Breakdown**: **COM**- (with) + **PUNCT**- (prick) + -**ION** (noun suffix) 59. **concomitant** - adj. naturally accompanying - **Breakdown**: **CON**- (together) + **COMIT**- (go) + -**ANT** (adjective suffix) 60. **conducive** - adj. helps produce positive or desired results - **Breakdown**: **CON**- (together) + **DUCE**- (lead) + -**IVE** (having the nature of) 61. **conduit** - n. a vessel or channel for transporting something - **Breakdown**: **CON**- (together) + **DUIT**- (lead) 62. **conflagration** - n. a large fire - **Breakdown**: **CON**- (together) + **FLAG**- (burn) + -**RATION** (action) 63. **connive** - v. trick; conspire - **Breakdown**: **CON**- (together) + **NIV**- (wink) 64. **consign** - v. assign or deliver something into someone else's custody - **Breakdown**: **CON**- (with) + **SIGN**- (mark) 65. **constituent** - adj. being part of a whole - **Breakdown**: **CON**- (together) + **STITU**- (stand) + -**ENT** (having quality) 66. **constructive** - adj. helpful, useful - **Breakdown**: **CON**- (together) + **STRUCT**- (build) + -**IVE** (having the nature of) 67. **construe** - v. interpret - **Breakdown**: **CON**- (together) + **STRU**- (build) 68. **contend** - v. reckon with; struggle against - **Breakdown**: **CON**- (together) + **TEND**- (stretch) 69. **contusion** - n. a bruise - **Breakdown**: **CON**- (together) + **TUS**- (hit) 70. **contrite** - adj. feeling of remorse or guilt - **Breakdown**: **CONTR**- (against) + **T**- (stricken) 71. **contentious** - adj. likely to cause an argument - **Breakdown**: **CONTENT**- (struggle) + -**IOUS** (full of) 72. **contravene** - v. violate the order of; conflict - **Breakdown**: **CONTRA**- (against) + **VENE**- (come) 73. **convivial** - adj. friendly and cheerful environment - **Breakdown**: **CON**- (together) + **VIV**- (live) + -**IAL** (pertaining to) 74. **corpulence** - n. obesity; fatness - **Breakdown**: **CORP**- (body) + -**ULENCE** (quality of being) 75. **covet** - v. want greatly - **Breakdown**: **COV**- (desire) + -**ET** (verb suffix) 76. **cupidity** - n. greed for money - **Breakdown**: **CUP**- (desire) + **ID**- (nature) + -**ITY** (noun suffix) 77. **dearth** - n. a lack of something - **Breakdown**: **DE**- (down) + **ARTH**- (thickness) 78. **debacle** - n. a fiasco or failure - **Breakdown**: **DE**- (down) + **BACC**- (breaking) 79. **debauch** - v. ruin or debase, particularly in a moral sense - **Breakdown**: **DE**- (away) + **BAUCH**- (excess) 80. **defunct** - adj. no longer working - **Breakdown**: **DE**- (down) + **FUNCT**- (perform) 81. **demagogue** - n. a political leader who appeals to the prejudices of the common people - **Breakdown**: **DEMO**- (people) + **AGOG**- (lead) 82. **demur** - v. show reluctance; raise objections - **Breakdown**: **DEM**- (away) + **MUR**- (delay) 83. **denigrate** - v. disparage - **Breakdown**: **DEN**- (down) + **IG**- (black) + **RATE**- (verb suffix) 84. **despot** - n. a tyrant - **Breakdown**: **DES**- (down) + **POT**- (power) 85. **diaphanous** - adj. light and translucent - **Breakdown**: **DIA**- (through) + **PHAN**- (show) + -**OUS** (full of) 86. **dirge** - n. song of lament for the dead - **Breakdown**: **DIRG**- (lament) 87. **discomfit** - v. make someone uncomfortable - **Breakdown**: **DIS**- (apart) + **COM**- (together) + **FIT**- (make) 88. **disparate** - adj. different from one another - **Breakdown**: **DIS**- (apart) + **PAR**- (equal) 89. **disrepute** - n. state of disgrace - **Breakdown**: **DIS**- (not) + **REPUT**- (reputation) 90. **duplicity** - n. deceitfulness - **Breakdown**: **DUPL**- (double) + -**ICITY** (state of) 91. **duress** - n. intimidation or coercion to force someone to perform an act - **Breakdown**: **DUR**- (hard) + -**ESS** (noun suffix) 92. **eclectic** - adj. wide-ranging - **Breakdown**: **EC**- (out) + **LECT**- (choose) 93. **edict** - n. an official order - **Breakdown**: **E**- (out) + **DICT**- (speak) 94. **ebullient** - adj. cheerful and lively - **Breakdown**: **EBUL**- (boil) + -**IENT** (having the nature of) 95. **efficacious** - adj. has the power to achieve a particular result - **Breakdown**: **E**- (out) + **FAC**- (make) + -**IOUS** (full of) 96. **effluvia** - n. unpleasant odor - **Breakdown**: **E**- (out) + **FLU**- (flow) + -**IA** (plural) 97. **egregious** - adj. outstandingly bad - **Breakdown**: **E**- (out) + **GREG**- (flock) + -**IOUS** (full of) 98. **elegy** - n. a poem of reflection, typically a lament for the dead - **Breakdown**: **ELEG**- (song of mourning) + -**Y** (noun suffix) 99. **elicit** - v. evoke or draw out - **Breakdown**: **E**- (out) + **LIC**- (draw) + -**IT** (verb suffix) 100. **eloquent** - adj. well-spoken - **Breakdown**: **E**- (out) + **LOQU**- (speak) + -**ENT** (having the quality of) 101. **emollient** - adj. soothing - **Breakdown**: **EMOLL**- (soften) + -**IENT** (having the nature of) 102. **exhort** - v. strongly encourage someone to do something - **Breakdown**: **EX**- (out) + **HORT**- (urge) 103. **grapple** - v. wrestle, physically or mentally - **Breakdown**: **GRAP**- (seize) + -**PLE** (verb suffix) 104. **flagrant** - adj. obviously offensive - **Breakdown**: **FLAG**- (fire) + -**RANT** (to burn) 105. **emulate** - v. imitate - **Breakdown**: **EMUL**- (rival) + -**ATE** (verb suffix) 106. **extraneous** - adj. irrelevant - **Breakdown**: **EXTRA**- (outside) + **NEUS**- (influence) 107. **fortuitous** - adj. happening by chance - **Breakdown**: **FORT**- (luck) + -**UOUS** (having the nature of) 108. **expunge** - v. get rid of - **Breakdown**: **EX**- (out) + **PUNG**- (strike) + -**E** (verb suffix) 109. **impetuous** - adj. acting without care - **Breakdown**: **IMPET**- (force) + -**UOUS** (full of) 110. **garrulous** - adj. talkative - **Breakdown**: **GARR**- (chat) + -**ULOUS** (full of) 111. **empirical** - adj. based on (as evidence) - **Breakdown**: **EMPIR**- (experience) + -**ICAL** (pertaining to) 112. **insidious** - adj. harmful - **Breakdown**: **INSID**- (sit) + -**IOUS** (full of) 113. **fluent** - adj. able to express oneself easily and clearly - **Breakdown**: **FLU**- (flow) + -**ENT** (having the quality of) 114. **intransigent** - adj. stubborn; unwilling to change one's views - **Breakdown**: **IN**- (not) + **TRANS**- (change) + **IG**- (act) + -**ENT** (having the quality of) 115. **insurgent** - n. rebel or revolutionary - **Breakdown**: **IN**- (against) + **SURG**- (rise) + -**ENT** (having the quality of) 116. **impede** - v. prevent or hold back - **Breakdown**: **IM**- (in) + **PED**- (foot) 117. **inchoate** - adj. just beginning; not fully formed - **Breakdown**: **IN**- (not) + **CHO**- (begin) + -**ATE** (having the quality of) 118. **inexorable** - adj. impossible to prevent - **Breakdown**: **IN**- (not) + **EX**- (out) + **ORA**- (speak) + -**BLE** (able) 119. **impute** - v. attribute to - **Breakdown**: **IM**- (in) + **PUT**- (think) 120. **neophyte** - n. a person who is new to a subject, skill, or belief - **Breakdown**: **NEO**- (new) + **PHYTE**- (plant, grow) 121. **incognito** - adj. having one's true identity concealed - **Breakdown**: **IN**- (not) + **COGN**- (know) + -**ITO** (having the nature of) 122. **inoculate** - v. immunize someone against - **Breakdown**: **IN**- (into) + **OCU**- (eye) + -**LATE** (verb suffix) 123. **contrite** - adj. feeling of remorse or guilt - **Breakdown**: **CONTR**- (against) + **T**- (stricken) 124. **inimical** - adj. tending to obstruct or harm; unfriendly - **Breakdown**: **IN**- (not) + **IMIC**- (friend) + -**AL** (having the quality of) 125. **irreverence** - n. lack of respect for - **Breakdown**: **IR**- (not) + **REVER**- (respect) + -**ENCE** (noun suffix) 126. **intransigence** - n. refusal to change views or agree - **Breakdown**: **IN**- (not) + **TRANS**- (change) + **IG**- (act) + **ENCE** (noun suffix) 127. **largesse** - n. generosity in bestowing money or gifts - **Breakdown**: **LARG**- (large) + -**ESSE** (noun suffix) 128. **exacerbate** - v. make worse - **Breakdown**: **EX**- (out) + **ACERB**- (harsh) + -**ATE** (to make) 129. **exemplary** - adj. serving as a model; outstanding - **Breakdown**: **EX**- (out) + **EMP**- (example) + -**ARY** (pertaining to) 130. **irrefutable** - adj. impossible to deny or argue against - **Breakdown**: **IR**- (not) + **REFUT**- (disprove) + -**ABLE** (able to) 131. **panacea** - n. a remedy for all diseases - **Breakdown**: **PAN**- (all) + **ACEA**- (cure) 132. **incongruous** - adj. not in harmony or keeping with the surroundings - **Breakdown**: **IN**- (not) + **CONGRU**- (agree) + -**OUS** (full of) 133. **benevolent** - adj. well-meaning and kind - **Breakdown**: **BEN**- (good) + **VOL**- (wish) + -**ENT** (having the nature of) 134. **juxtapose** - v. place side by side for comparison - **Breakdown**: **JU**- (together) + **POS**- (place) 135. **vitriolic** - adj. filled with hatred - **Breakdown**: **VITRIOL**- (acid) + -**IC** (having the nature of) 136. **ephemeral** - adj. short-lived - **Breakdown**: **EPHEM**- (day) + -**ERAL** (pertaining to) 137. **debilitate** - v. make someone weak or infirm - **Breakdown**: **DE**- (down) + **BILIT**- (able) + -**ATE** (to make) 138. **inveterate** - adj. long-established and unlikely to change (of a habit) - **Breakdown**: **IN**- (in) + **VETER**- (old) + -**ATE** (having the nature of) 139. **placate** - v. make someone less angry or hostile; to calm - **Breakdown**: **PLAC**- (calm) + -**ATE** (to make) 140. **nebulous** - adj. uncertain, ambiguous, or vague; difficult to understand or describe - **Breakdown**: **NEB**- (cloud) + -**UL** (relating to) + -**OUS** (full of) 141. **spurious** - adj. statement that appears truthful but is false - **Breakdown**: **SPUR**- (false) + -**IOUS** (full of) 142. **obfuscate** - v. render unclear; bewilder someone - **Breakdown**: **OB**- (against) + **FUS**- (pour) + -**CATE** (verb suffix) 143. **tangible** - adj. perceptible by touch - **Breakdown**: **TANG**- (touch) + -**IBLE** (able to) 144. **preclude** - v. prevent from taking place - **Breakdown**: **PRE**- (before) + **CLU**- (close) + -**DE** (verb suffix) 145. **veritable** - adj. used to emphasize that something is truly or undoubtedly something - **Breakdown**: **VER**- (true) + -**ITABLE** (able to be) 146. **profound** - adj. showing deep knowledge or insight - **Breakdown**: **PRO**- (forward) + **FOUND**- (bottom) 147. **vituperate** - v. blame or insult someone strongly - **Breakdown**: **VIT**- (fault) + **UPER**- (over) + -**ATE** (verb suffix) 148. **penchant** - n. habitual liking for something; a tendency toward - **Breakdown**: **PENCH**- (to incline) + -**ANT** (having the quality of) 149. **wanton** - adj. deliberate and unprovoked; sexually unrestrained - **Breakdown**: **WANT**- (desire) + -**ON** (quality) 150. **subterfuge** - n. deceit used to achieve one's goal - **Breakdown**: **SUB**- (under) + **FUG**- (flee) + -**E** (noun suffix) 151. **perturb** - v. disturb or unsettle - **Breakdown**: **PER**- (through) + **TURB**- (disturb) 152. **dispel** - v. drive away - **Breakdown**: **DIS**- (apart) + **PELL**- (push) 153. **flabbergasted** - adj. surprised and shocked - **Breakdown**: **FLAB**- (open) + **GASTED** (stunned) 154. **sublime** - adj. elevated or lofty in thought, expression, or manner - **Breakdown**: **SUB**- (under) + **LIM**- (threshold) 155. **obdurate** - adj. stubborn - **Breakdown**: **OB**- (against) + **DUR**- (hard) + -**ATE** (having the quality of) 156. **diaphanous** - adj. light and translucent - **Breakdown**: **DIA**- (through) + **PHAN**- (show) + -**OUS** (full of) 157. **truculent** - adj. eager to argue or fight - **Breakdown**: **TRUC**- (savage) + -**ULENT** (full of) 158. **vitriolic** - adj. filled with hatred - **Breakdown**: **VITRIOL**- (acid) + -**IC** (having the nature of) 159. **ineffable** - adj. too great or extreme to be expressed in words - **Breakdown**: **IN**- (not) + **EF**- (out) + **FABLE**- (speak) ==End of OCR for page 19==