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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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A Florida neighborhood is comprised of a total of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from t

natka813 [3]

Answer:

the standard error of the proportion is 0.0272

Step-by-step explanation:

We have that if the sample size is greater than 5% of the entire population, a finite population correction factor (fpc) is multiplied with the standard error :

fpc = $\sqrt{\frac{N -n}{N -1} }$

We know that N = 250 n = 91, replacing:

fpc = $\sqrt{\frac{250 - 91}{250 -1} }$

fpc = 0.799

Now, the formula would then be:

SE = $\sqrt{\frac{p * (1 -p)}{n} }$ *fpc

Now replacing, knowing that p = 0.12

SE= $\sqrt{\frac{0.12 * (1 - 0.12)}{91} }$ *0.799

SE = 0.0272

So the standard error of the proportion is 0.0272

6 0

3 years ago

How many solutions does the equation -6y+13+9y=8y-3

Lina20 [59]

Answer:

Single Solution of 3.2 (16/5)

Step-by-step explanation:

3x = 8x -16 <--- I combine like terms.

-5x = -16

-16/-5 = x

x = 3.2

BTW Negative times a Negative equals a positive.

3 0

3 years ago

Please help ASAP Use the screenshot answer the question

Hoochie [10]

Answer:

0.35, 0.40

Step-by-step explanation:

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2 years ago

What are the solutions of the equation x^3-x=0?

lana66690 [7]

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8 0

3 years ago

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other squar

o-na [289]

The length of each side of the larger square is 8 cm.

<u>Step-by-step explanation</u>:

Step 1 ;

The combined area of two squares = 80 sq.cm
The side of small square = x
The side of larger square = 2x

Step 2 :

Area of the square = a^2

Area of small square + area of large square = 80

x^2 + (2x)^2 = 80

x^2 + 4x^2 = 80

5x^2 = 80

x^2 = 80/5

x^2 = 16

x = ±4

Step 3 :

Since length cannot be negative, the value of x= 4

∴ The length of the side of small square = 4cm

The length of the side of larger square = 2x = 8cm

5 0

4 years ago