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Hello!
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❖ The correct answer choice would be B) 15 · 3 if the three is written as an exponent. If the 3 isn't an exponent, none of the choices will work.
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
BC = 12; XZ = 8; BZX = 55
To find BC:
Since XY is the bisector of AB and AC, this means that it is a median of triangle ABC. Its length will be half of the length of BC; 6 = 1/2BC; 6*2 = BC; 12 = BC
To find XZ:
Since XZ is the bisector of AB and BC, this means that it is a median of triangle ABC. Its length will be half of the length of AC; 1/2(16) = 8.
To find BZX:
XYCZ is a parallelogram. Consecutive angles of a parallelogram are supplementary; 180-55=125=XZC.
XZC and BZX form a linear pair and are thus supplementary. This means that BZX = 180-XZC = 180-125 = 55