Given: rt ≅ tv and st ≅ tu prove: rsvu is a parallelogram. statements reasons 1. rt ≅ tv; st ≅ tu 1. given 2. ∠rts and ∠vtu are vert. ∠s; ∠rtu and ∠vts are vert. ∠s 2. definition of vertical angles 3. ∠rts ≅ ∠vtu; ∠rtu ≅ ∠vts 3. vertical angles are congruent 4. ? 4. sas congruency theorem 5. ∠vrs ≅ ∠rvu; ∠usr ≅ ∠suv; ∠vru ≅ ∠rvs; ∠rus ≅ ∠usv 5. cpctc 6. ∠vrs and ∠rvu, ∠usr and ∠suv, ∠vru and ∠rvs, ∠rus and ∠usv are each a pair of alternate interior angles 6. definition of alternate interior angles 7. rs ∥ uv and ru ∥ sv 7. converse of the parallelogram diagonal theorem 8. rsvu is a parallelogram 8. definition of parallelogram what is the missing statement in step 4?

Farnesene is a sesquiterpene. how many different isomers arising from double-bond isomerizations are possible? g

Use your knowledge of the binary number system to write each binary number as a decimal number. a) 1001 base 2= base 10 b) 1101 base 2 = base 10

The weight of 46 new patients of a clinic from the year 2018 are recorded and listed below. construct a frequency distribution, using 7 classes. then, draw a histogram, a frequency polygon, and an ogive for the data, using the relative information from the frequency table for each of the graphs. describe the shape of the histogram. data set: 130 192 145 97 100 122 210 132 107 95 210 128 193 208 118 196 130 178 187 240 90 126 98 194 115 212 110 225 187 133 220 218 110 104 201 120 183 124 261 270 108 160 203 210 191 180 1) complete the frequency distribution table below (add as many rows as needed): - class limits - class boundaries - midpoint - frequency - cumulative frequency 2) histogram 3) frequency polygon 4) ogive