By J. Hymers
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This old ebook could have a variety of typos and lacking textual content. buyers can obtain a unfastened scanned replica of the unique e-book (without typos) from the writer. now not listed. now not illustrated. 1905. Excerpt: . .. II. THE CIRCLE a hundred and one. If the inscribed and circumscribed circles of a triangle are concentric, the triangle is equilateral.
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If m and n are two positive integers such that 5m + 7n = 46, then what is the value of mn ? (A) (B) (C) (D) (E) 15 21 24 27 35 24. Which one of the following equals the number of multiples of 3 between 102 and 210, inclusive? (A) (B) (C) (D) (E) 32 33 36 37 38 25. The sum of the positive integers from 1 through n can be calculated by the formula n(n + 1)/2. Which one of the following equals the sum of all the even numbers from 0 through 20, inclusive? (A) (B) (C) (D) (E) 50 70 90 110 140 26. a, b, c, d, and e are five consecutive numbers in increasing order of size.
What is the value of x ? (A) (B) (C) (D) (E) 20 30 50 70 90 B 20° A x° C 5 D 63 64 GMAT Math Bible 18. In the figure, ABC is a right triangle. What is the value of y ? (A) (B) (C) (D) (E) 20 30 50 70 90 B y° 20° A 19. D 2 C The following are the measures of the sides of five different triangles. Which one of them represents a right triangle? (A) (B) (C) (D) (E) 20. x° y° 3, 4 , 1, 5, 4 7, 3, 4 3, 7 , 4, 8, 10 5 4 ABC is a right-angled isosceles triangle, and B is the right angle in the triangle.
Hence, you can check your work and in some cases even solve a problem by “eyeballing” the drawing. We’ll discuss this technique in detail later. Following is a discussion of the basic properties of geometry. You probably know many of these properties. Memorize any that you do not know. Lines & Angles When two straight lines meet at a point, they form an angle. The point is called the vertex of the angle, and the lines are called the sides of the angle. The angle to the right can be identified in three ways: 1.
A treatise on the theory of algebraical equations by J. Hymers