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choli [55]
3 years ago
13

Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value

of s and the length of side BC if ABCD is a rhombus? S = AB = units
Mathematics
2 answers:
otez555 [7]3 years ago
7 0

Answer:

  • s=45 Units
  • Length of side BC=434 Units

Step-by-step explanation:

Given a rhombus ABCD

|AB|=|DC| (Opposite sides of a rhombus are equal)

|AB|=9s+29

|DC|=10s-16

Therefore:

9s+29=10s-16

Collect like terms

10s-9s=29+16

  • s=45 Units

Recall: |AB|=9s+29

|AB|=9(45)+29=405+29=434 Units

Since all the sides of a rhombus are congruent

AB=AC=BD=CD

Therefore:

|BC|=434 Units

  • Therefore, the length of side BC=434 Units
Cerrena [4.2K]3 years ago
4 0

Answer:

s=45

ab=434

Step-by-step explanation:

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