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3 years ago

If UW = 40 - 16 and UY = t + 14, find UY in rhombus VWXY.

Mathematics

1 answer:

const2013 [10]3 years ago

5 0

Answer:

Measure of UY in the rhombus VWXY is 24 units.

Step-by-step explanation:

By the property,diagonals of a rhombus bisect each other at right angle.

m(UW) = m(UY)

4t - 16 = t + 14

4t - t - 16 = t + 14 - t

3t - 16 = 14

3t - 16 + 16 = 14 + 16

3t = 30

t = $\frac{30}{3}$

t = 10

Since, UY = t + 14

By replacing t = 10 in the given expression

UY = 10 + 14

= 24 units

Therefore, measure of UY in the rhombus VWXY is 24 units.

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scoray [572]

Answer:

Step-by-step explanation:

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3 years ago

If we changed the –0.14 to a 2 in the equation, what would happen to the graph?

MatroZZZ [7]

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

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$y = -0.14x + 3$

The above equation is a linear equation, which is represented as:

$y =mx + c$

Where m represents the slope of the linear equation.

By comparison, we have:

$m = -0.14$

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When -0.14 is replaced with 2, the equation becomes

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And the slope of the new equation $y = 2x + 3$ is

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3 years ago

3m + n =7<br> m + 2n = 9

harkovskaia [24]

Answer:

n = 4, m = 1

Step-by-step explanation:

Given the 2 equations

3m + n = 7 → (1)

m + 2n = 9 → (2)

Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides

m = 9 - 2n → (3)

Substitute m = 9 - 2n into (1)

3(9 - 2n) + n = 7 ← distribute left side

27 - 6n + n = 7 ← simplify left side

27 - 5n = 7 ( subtract 27 from both sides )

- 5n = - 20 ( divide both sides by - 5 )

n = 4

Substitute n = 4 into (3) for corresponding value of m

m = 9 - (2 × 4) = 9 - 8 = 1

Thus m = 1 and n = 4

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3 years ago

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3 years ago

suppose jamal purchases a pair of running shoes online for $60. if his state has a sales tax on clothing of 6 percent, how much

PSYCHO15rus [73]

The merchant is required to charge him $3.6 in state sales tax

<h3>How much is the merchant required to charge him in state sales tax?</h3>

The given parameters are

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Sales tax = 6% * Shoe price

So, we have:

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Hence, the merchant is required to charge him $3.6 in state sales tax

If UW = 40 - 16 and UY = t + 14, find UY in rhombus VWXY.​

If UW = 40 - 16 and UY = t + 14, find UY in rhombus VWXY.