Match the reasons with the statements. complete the proof for theorem 3-16 above, with the information given. given: m1 = m2 prove: l | | m plan: same as theorem 3-15 1. m∠1 = m∠2 if corresponding angles are equal, then lines are parallel. 2. m∠1 = m∠3 given 3. m∠2 = m∠3 substitution 4. l||m vertical angles are equal.

Enzo sits with a small group of friends at lunch. lately, he has been very quiet and stays home a lot even though his friends invite him to go places. he likes to play video games in his free time and is slightly overweight. which behavior is a sign that enzo may need professional mental health treatment? a) being overweight b) playing video games c) withdrawing from activities d) having a small group of friends

A24-year-old g4p2 woman at 34 weeks gestation complains of a cough and whitish sputum for the last three days. she reports that everyone in the family has been sick. she reports a high fever last night up to 102°f (38.9°c). she denies chest pain. she has a history of asthma with no previous intubations. she uses an albuterol inhaler, although she has not used it this week. vital signs are: temperature 98.6°f (37°c); respiratory rate 16/minute; pulse 94 beats/minute; blood pressure 114/78; peak expiratory flow rate 430 l/min (baseline documented in the outpatient chart = 425 l/min). on physical examination, pharyngeal mucosa is erythematous and injected. lungs are clear to auscultation. white blood cell count 8,700 mcl; arterial blood gases on room air (normal ranges in parentheses): ph 7.44 (7.36–7.44); po2 103 mm hg (> 100); pco2 26 mm hg (28–32); hco3 19 mm hg (22–26). chest x-ray is normal. what is the correct interpretation of this arterial blood gas?

Mary is 14 year old her resting heart rate is 70 beats per minute. calculate 50% of mary's maximum heart rate to fine her target heart rate