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lozanna [386]
3 years ago
8

What is the value of s and the length of side BC if ABCD is a rhombus?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
5 0
The rhombus has four equal sides

10s - 16 = 9s + 29
10s - 9s = 29 + 16
s = 45

BC = CD = 10s-16 = 10*45 - 16 = 434
Natali5045456 [20]3 years ago
4 0

Step 1

<u>Find the value of s</u>

we know that

In a Rhombus all sides are congruent

so

AB=BC=CD=DA

AB=9s+29\\CD=10s-16

equate AB and CD

9s+29=10s-16\\

Combine like term

10s-9s=29+16\\

s=45\ units

<u>The answer Part a) is</u>

the value of s is 45\ units

Step 2

<u>Find the value of side AB</u>

AB=9s+29

substitute the value of s

AB=9*45+29=434\ units

Remember that the sides are congruent

AB=BC=CD=DA

therefore

<u>the answer Part b) is</u>

The length of the side BC is 434\ units


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GIVEN: A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 yellow. Three candies are pulled from the bag in succession, without replacement.

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Probability that third ball is green, P(C)=\frac{\text{total green candies in bag}}{\text{total candies in bag}}

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=P(A)\times P(B)\times P(C)

=\frac{1}{19}\times\frac{1}{28}\times\frac{7}{55}

=\frac{1}{19}\times\frac{1}{4}\times\frac{1}{55}

=\frac{1}{4180}

Hence,  probability that first two balls are orange and third is green is \frac{1}{4180}

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