Question

given AZ=3cm ,ZC=2cm, MC=5cm , BM=3cm .Find XY; YZ

Answer 1

which is plz give a figure

Answer 2

Answer:                                                                    

XY=1.8cm                                                                

YZ=3cm

Step-by-step explanation:

similarity:

Same point A

parallel lines, so corresponding angles C~Z

solving for X:

AC/AZ=BM/XY=MC/YZ----just put the similar lines segments into fraction form.

5/3=3/x=5/y------substitute the values(lengths) of the line segments.

5/3=3/x----take two of the fractions and equate them.

5*X=3*3------multiply the denominator of the alternative sides with the numerator of both sides.

5X=9------you will get this by the end after the last step.

X=1.8

solving for Y:

5/3=5/Y-------now take the equation containing Y, and the equation with the numerator and the denominator as numbers.

5Y=15----equate them 1st and do the same as before.

Y=3

key: ~ is a similarity  symbol

: * is a multiplication symbol