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sashaice [31]
3 years ago
10

If UW=4t-16 and UY=t+14, find UY in Rhombus VWXY

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:

UY = 24

Step-by-step explanation:

UW can be set to equal UY, because the lines are the same lengths.

4t - 16 = t + 14

3t = 30

t = 10

So now that we found <em>t, </em>we need to find what UY is... So plugging 10 back in for <em>t</em>, we get:

UY = 10 + 14\\UY = 24

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alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

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The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat =  x mph

Let The speed of current =  mph

Now, According to question

∵ Speed = \dfrac{Distance}{Time}

<u>For Downstream</u>

x + y = \dfrac{D}{T}

Or, x + y =  \dfrac{10.5}{1.5}

Or, x + y = 7          .......A

<u>For Upstream</u>

x - y = \dfrac{d}{t}

Or, x - y =  \dfrac{10.5}{3.5}

Or, x - y = 3          .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴  x = \dfrac{10}{2}

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∴ y = 7 - 5

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So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

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