Math & Science ACT Workuot

(Marvins-Underground-K-12) #1
H.

J.

K.


  1. If m and n are real numbers such that m < −1 and n > 1, then which of the following inequalities must be true?


A. > 1

B. |n|^2    >   |m|

C. + 2 > + 2

D. n^2  +   1   >   m^2     +   1

E. n−2  >   m−2


  1. Triangles TVW and XYZ are shown below. The given side lengths are in inches. The area of ∆TVW is 45 square inches. What is the
    area of ∆XYZ in square inches?


F. 22.5

G. 27

H. 30

J. 45

K. 50


  1. Triangle JKL is shown in the figure below. The measure of K is 50°, JK = 9 cm, and KL = 6 cm. Which of the following is the
    lengths, in centimeters, of LJ ?


(Note:   For     a   triangle    with    sides   of  length a,  b,   and    c    opposite    angles  A,  B,  and     C,  respectively,   the     law     of  sines   states 

,   and the law of  cosines states  c^2     =   a^2     +   b^2     −   2abcos   C.)
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