Math  /  Geometry

Question7 mongeor of icefice Problems of hobryeon %\% scalled colby a. The value of xx is 6 , what is the value of yy ? b. What is the scale factor?
2. Figure ff is a scaled copy of figuree. We know: AB=6CD=3XY=4ZM=a\begin{array}{c} \circ A B=6 \\ \circ C D=3 \\ \cdot X Y=4 \\ \cdot Z M=a \end{array}

Select all true equations. A. 63=4a\frac{6}{3}=\frac{4}{a} B. 64=3a\frac{6}{4}=\frac{3}{a} C. 34=6a\frac{3}{4}=\frac{6}{a} D. 63=a4\frac{6}{3}=\frac{a}{4} E. 64=a3\frac{6}{4}=\frac{a}{3} F34=a6F \cdot \frac{3}{4}=\frac{a}{6}

Studdy Solution
Verify which equations are true using the calculated value of a=2 a = 2 .
A. 63=4a\frac{6}{3} = \frac{4}{a} becomes 63=42\frac{6}{3} = \frac{4}{2} which is 63=2\frac{6}{3} = 2. TRUE
B. 64=3a\frac{6}{4} = \frac{3}{a} becomes 64=32\frac{6}{4} = \frac{3}{2} which is 32=32\frac{3}{2} = \frac{3}{2}. TRUE
C. 34=6a\frac{3}{4} = \frac{6}{a} becomes 34=62\frac{3}{4} = \frac{6}{2} which is 34=3\frac{3}{4} = 3. FALSE
D. 63=a4\frac{6}{3} = \frac{a}{4} becomes 63=24\frac{6}{3} = \frac{2}{4} which is 2=122 = \frac{1}{2}. FALSE
E. 64=a3\frac{6}{4} = \frac{a}{3} becomes 64=23\frac{6}{4} = \frac{2}{3} which is 32=23\frac{3}{2} = \frac{2}{3}. FALSE
F. 34=a6\frac{3}{4} = \frac{a}{6} becomes 34=26\frac{3}{4} = \frac{2}{6} which is 34=13\frac{3}{4} = \frac{1}{3}. FALSE
The true equations are A and B.

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