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Pre-Calculus Homework Solutions 21

Pre-Calculus Homework Solutions 21 - Chapter 1 Standardized...

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Chapter 1 Standardized Test Practice Pages 58–59 1. C; there are 15 hours between 7 A . M . and 10 P . M ., so there are 15 60 900 minutes during that time. Then Juanita blinks 11 900 or 9900 times during the time she is awake. 2. A 3. B; 2 x 2 2 x 12 x 4 16 ¬ 2( x 2 2( x 6 x 2) 8) ¬ 2( x 2( x 4)( x 2) 2) ¬ x 4 4. A; three noncollinear points determine a plane, so if the two planes are distinct, their intersection is not a plane. Two planes intersect in only one line. 5. B; 1 fathom 6 feet so 55 fathoms 55(6) or 330 feet, which is 110 yards. 6. C; use the Pythagorean Theorem, where x is the height up the side of the house that the ladder reaches. (18) 2 ¬ (6) 2 x 2 324 ¬ 36 x 2 288 ¬ x 2 17.0 ¬ x 7. C; m ABD ¬ m CBD 2 x 14 ¬ 5 x 10 2 x 14 10 ¬ 5 x 10 10 2 x 24 ¬ 5 x 2 x 24 2 x ¬ 5 x 2 x 24 ¬ 3 x 8 ¬ x m ABD 2 x 14 2(8) 14 30 8. D; let x be the measure of FEG . m DEG m FEG ¬ 180 6 1 2 x x ¬ 180 1 2 5 x ¬ 180 x ¬ 24 m DEG ¬ 6 1 2 (24) ¬ 156 9. D; If Kaitlin turns 115°, Henry turns 180° 115° or 65°. 10. 2 x 6 4 x 2 x x 2 5 5 x 2 x 1 11. 2 y ¬ 3 x 8 y ¬ 2 x 3 2(2 x 3) ¬ 3 x 8 4 x 6 ¬ 3 x 8 x ¬ 2 y ¬ 2 x 3 y ¬ 2(2) 3 or 7 The solution is (2, 7). 12. ABCD is a rectangle, so D must have coordinates D (3, 1). 13. M x 1 2 x 2 , y 1 2 y 2 2 2 ( 4) , 1 2 3 2 2 , 2 2 ( 1, 1) 14. ( AB ) 2 ¬ 60 2 110 2 ( AB ) 2 ¬ 3600 12,100 ( AB
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