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3 years ago

CD is the perpendicular bisector of both XY and ST and CY=20.

Mathematics

2 answers:

agasfer [191]3 years ago

8 0

Is a 5 percent effective

xenn [34]3 years ago

3 0

Answer:

The correct option is C.

Step-by-step explanation:

It is given that CD is the perpendicular bisector of both XY and ST, and CY=20.

In triangle XCD and YCD,

$CD=CD$ (Common sides)

$\angle XDC=\angle YDC=90^{\circ}$ (Definition of perpendicular bisector)

$\angle XD=\angle YD$ (Definition of perpendicular bisector)

By SAS postulate of congruent triangles,

$\triangle XCD=\triangle YCD$

The corresponding parts of congruent triangle are congruent,

$CX=CY$ (CPCTC)

$XC=20$ (CY=20)

The length of CX is 20 units. Therefore the correct option is C.

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Sammy rides his bike to school and to pick up his sister at her school. He rides 4 miles round trip to his school. To his sister

KatRina [158]

Answer: 300

Step-by-step explanation: First of all calcute how much per day, which is 5 miles. Then by 5 days which is 25. Now by 12 which is 300.

Hope this helped :)

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2 years ago

The velocity v of the flow of blood at a distance r from the central axis of an artery of radius R is given below, where k is th

andrew11 [14]

The average rate of blood flow is given by

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2 years ago

A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The

brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

$\overline{X} = \frac{X_1+X_2+...+X_n}{n}$

If $X_1, ..., X_n$ are indentically distributed and independent, like in the situation of the problem, then the variance of $X_1 + .... + X_n$ will be the sum of the variances, in other words, it will be n times the variance of $X_1$ .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus $\overkine{X} = \frac{V(X_1)}{n}$ and as a result, the standard deviation of $\overline{X}$ is the standard deviation of $X_1$ divided by $\sqrt{n}$ .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

Restaurants: We have boxes with 9 salmon each, so it will be $\frac{2}{\sqrt{9}} = \frac{2}{3}$
Grocery stores: Each carton has 49 salmon, thus the standard deviation is $\frac{2}{\sqrt{49}} = \frac{2}{7}$
Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is $\frac{2}{\sqrt{64}} = \frac{1}{4}$

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

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2 years ago

This sequence represents the diameters of circles used to create an art project: 2.5 cm, 3.1 cm, 3.7 cm, 4.3 cm Let f(n) represe

vlabodo [156]

The diameters of the circles given are listed as: 2.5 cm, 3.1 cm, 3.7 cm, and 4.3 cm. It can be observed that there is a common difference between the terms of the progression such that the difference between the first two terms is 0.6 cm. The difference between the third and the second is also 0.6, and so on. Thus, the equation that will be able to represent the given is,
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2 years ago

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shusha [124]

You'd need 8 packs of hot dogs and ten packs of buns!

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2 years ago