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horsena [70]
4 years ago
14

Sam made 6 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 6 necklaces wa

s $31.80 . if the beads cost $2.70 for each necklace, how much did each pendant cost?
Mathematics
1 answer:
Marizza181 [45]4 years ago
3 0
Since six necklaces all together costs 31.80 to make, I divided 31.80 by 6 and got 5.3. That means that to make one necklace, they'd spend $5.30. The beads alone for 1 necklace cost $2.70, so I subtracted that from the $5.30.

Answer: Each pendant costs $2.60
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Answer: \angle WXY=125^{\circ}

Explanation: Since, a kite has one pair of congruent angles and its main diagonal bisects its opposite angles.

Therefore, According to the given figure,

\angle WXY=\angle WZY

And, WY is the main diagonal which bisects angles ZWX and XYZ.

So, \angle ZWX =2\times \angle ZWY= 2\times 43^{\circ}=86^{\circ}

And, \angle XYZ =2\times \angle XYW= 2\times 12^{\circ}=24^{\circ}

Since, Sum of all angles of a quadrilateral is equal to 360^{\circ}

Therefore, \angle WXY+\angle WZY+\angle XYZ+\angle ZWX=360^{\circ}

⇒2\times \angle WXY+ 86^{\circ}+24^{\circ}=360^{\circ}

⇒2\times \angle WXY=360^{\circ}-110^{\circ}=250{\circ}

⇒ \angle WXY=125^{\circ}

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