. (05.01 LC) Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. Dora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 12. Statement Reason 1. Segment ST is parallel to segment QR Given 2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent 3. Angle SPT is congruent to angle QPR Reflexive property of angles 4. Triangle SPT is similar to triangle QPR Angle-Angle Similarity Postulate 5. (3x + 24):3x = Corresponding sides of similar triangles are in proportion Which of the following can she use to complete statement 5? (1 point) 85:51 3x:85 3x:51 34:24

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship