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# I only ii and iii only ii only iii only i and ii only

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Unformatted text preview: 2 of its intercepted arcs. 1 40 = ( x − 20) 2 80 = x − 20 100 = x 1 9. ∠CDE must equal 65° because there are 180° in a triangle. Since AB is parallel to CD , ∠x = ∠CDE = 65°. (D) V = l · w · h = 2 · 6 · 18 = 216 The volume of a cube is equal to the cube of an edge. V = e3 216 = e3 6=e 10. (B) If the volume ratio is 8 : 1, the linear ratio is 2 : 1, and the area ratio is the square of this, or 4:1. www.petersons.com Inequalities 14 4. In triangle ABC, AB = AC and EC &lt; DB. Then DIAGNOSTIC TEST Directions: Work out each problem. Circle the letter that appears before your answer. Answers are at the end of the chapter. 1. If 4x &lt; 6, then (A) (B) (C) (D) (E) 2. x = 1.5 2 3 2 x&gt; 3 3 x&lt; 2 3 x&gt; 2 x&lt; a and b are positive numbers. If a = b and c &gt; d, then (A) a + c &lt; b + d (B) a + c &gt; b + d (C) a – c &gt; b – d (D) ac &lt; bd (E) a + c &lt; b – d Which value of x will make the following expression true? 3x4 &lt; &lt; 5 10 5 (A) (B) (C) (D) (E) 5. DB &lt; AE DB &lt; AD AD &gt; AE AD &lt; AE AD &gt; EC In triangle ABC, ∠1 &gt; ∠2 and ∠2 &gt; ∠3. Then 3. (A) (B) (C) (D) (E) 5 6 7 8 9 (A) (B) (C) (D) (E) 6. AC &lt; AB AC &gt; BC BC &gt; AC BC &lt; AB ∠3 &gt; ∠1 If point C lies between A and B on line segment AB, which of the following is always true? (A) AC = CB (B) AC &gt; CB (C) CB &gt; AC (D) AB &lt; AC + CB (E) AB = CB + AC 231 232 Chapter 14 7. If AC is perpendicular to BD, which of the following is always true? I. AC = BC II. AC &lt; AB III. AB &gt; AD 9. In triangle ABC, BC is extended to D. If ∠A = 50° and ∠ACD = 120°, then (A) BC &gt; AB (B) AC &gt; AB (C) BC &gt; AC (D) AB &gt; AC (E) ∠B &lt; ∠A (A) (B) (C) (D) (E) 8. I only II and III only II only III only I and II only 10. In right triangle ABC, ∠A &lt; ∠B and ∠B &lt; ∠C. Then (A) ∠A &gt; 45° (B) ∠B = 90° (C) ∠B &gt; 90° (D) ∠C = 90° (E) ∠C &gt; 90° If x &lt; 0 and y &gt; 0, which of the following is always true? (A) x + y &gt; 0 (B) x + y &lt; 0 (C) y – x &lt; 0 (D)...
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## This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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