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kvasek [131]
3 years ago
14

Can someone please help me?? I don't know how to do this

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0
The answer would be z= 16
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What is the value of q?
malfutka [58]
Triangles QST and RST are similar.  Therefore, the following is true:

 q       s
--- = ----   This results in 10q=rs.
 r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.  
            4      s
Also:  ---- = -----    which leads to s^2 = 40
            s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

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3 years ago
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