AD is the angle bisector of EAB. Solve for X

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

6 0

Answer:

A) 5.76

Step-by-step explanation:

By angle bisector property of a triangle, we have:

$\frac{12}{10} = \frac{x}{4.8} \\ \\ \frac{12 \times 4.8}{10} = x \\ \\ x = \frac{57.6}{10} \\ \\ x = 5.76$

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Answer:

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Step-by-step explanation:

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4 years ago

Calculate the perimeter of a square whose diagonal measures 29 dm.

mojhsa [17]

Answer:

$4\sqrt{420.5}$ dm

Step-by-step explanation:

A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.

We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)

So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.

$a^2 + a^2 = 29^2$

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$a = \sqrt{420.5}$

Now that we have a side length of $\sqrt{420.5}$ , we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of:

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4 years ago

The claim is that the white blood cell counts of adult females are normally? distributed, with a standard deviation equal to 1.6

antiseptic1488 [7]

From the question, we know the population standard deviation, σ = 1.63, the sample standard deviation, s = 3.07, the sample mean, $\bar{x}=7.43$ and the sample size, n = 38.

The question illustrates a hypothesis chi-square test of variance.

The test statistics for a Chi-squared test of variance is given by
$T=(n-1)\left( \frac{s}{\sigma} \right)^2 \\ \\ =(38-1)\left( \frac{3.07}{1.63} \right)^2 \\ \\ =37(1.883)^2=37(3.5473) \\ \\ =131.25$