Work must be shown for this problem! The figure shown below is a rhombus. Remember to solve for x and then find NO! Give both an
2 answers:
Answer:
x = 6
NO = 26
Step-by-step explanation:
recall that for a rhombus all the sides are of equal length,
which means, PM = MN = MP = NO
we are given
MP = 5x-4 and MN = 6x-10
since MP = MN, thus
5x-4 = 6x-10 (add 4 to both sides)
5x = 6x - 10 + 4
5x = 6x - 6 (subtract 6x from both sides)
5x-6x = -6
-x = -6
x = 6 (answer)
NO = MP = 5x-4 = 5(6) - 4 = 30 - 4 = 26
Answer:
x=6
NO=26
Step-by-step explanation:
MP=5x-4, MN=6x-10
Since it is a rhombus, all sides are congruent, thus MP is congruent to MN
and:
5x-4=6x-10
6x-10=5x-4
6x=5x+6
x=6
So, MP=5(6)-4=30-4=26, since all sides of a rhombus are congruent, MP=NO
26=PO
NO=26
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