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3 years ago

Geometry

Mathematics

1 answer:

Kobotan [32]3 years ago

5 0

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = $\boxed{52}$

Hope this helps!! :)

Please let me know if you have any questions

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pashok25 [27]

<h2>What is (2/x^2)^3 reduced to simplest form ?</h2>

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2 years ago

The speeds of vehicles traveling on a highway are normally distributed with a population standard deviation of 7 miles per hour

True [87]

Answer: $(56.03\ ,63.97)$

Step-by-step explanation:

Given : The speeds of vehicles traveling on a highway are normally distributed .

Standard deviation: $\sigma: 7$

Since , sample size : $n=20$ , which is small sample (n<30) so the test applied here is a t-test.

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Sample mean : $\overline{x}=60$

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Using t-distribution table , Critical value : $\text{t-score}=t_{n-1, \alpha/2}= 2.539483$

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$\overline{x}\pm t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$60\pm( 2.539483)\dfrac{7}{\sqrt{20}}\approx60\pm3.97=(56.03\ ,63.97)$

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3 years ago

Pls answer

Paladinen [302]

Answer:

-2/1 or -2

Step-by-step explanation:

On the graph plot the points, draw a line to connect them, draw a right triangle, the up will be the 2 and the across is the 1. It is negative b/c it slopes down to the right.

Mark me as brainliest if this helps!

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π/6 will be your answer!

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4 years ago

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