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3 years ago

What is the length of line segment DC

Mathematics

2 answers:

Misha Larkins [42]3 years ago

4 0

The answer is 3 units.

12/4= 3

9/3= 3 units

Y_Kistochka [10]3 years ago

3 0

Answer:

The length of DC is 3 unit.

Step-by-step explanation:

Consider the provided figure.

DE is parallel to CB.

According to basic proportionality theorem:

"If a line is drawn parallel to one side of a triangle to pass the other two sides in separate points, the other two sides are divided into the same ratio."

Therefore

$\frac{AE}{EB}=\frac{AD}{DC}$

$\frac{12}{4}=\frac{9}{x}$

$3=\frac{9}{x}$

$x=\frac{9}{3}$

$x=3$

Thus, the length of DC is 3 unit.

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The reciprocal parent function is translated 5 units right and 3 units up. Write an equation to represent the new function.

ladessa [460]

Answer:

The new function is $y=\frac{1}{x-5}+3$ , where x ≠ 5

Step-by-step explanation:

The reciprocal parent function is $f(x)=\frac{1}{x}$ , where x ≠ 0

The translation of f(x) to the right h units is f(x - h)

The translation of f(x) up k units is f(x) + k

The translation of f(x) to the right h units and up k units is f(x - h) + k

∵ The equation of the reciprocal parent function is $y=\frac{1}{x}$

∵ The function is translated 5 units right

∴ h = 5

- That means 5 is subtracted from x ⇒ (x - 5)

∵ The function is translated 3 units up

∴ k = 3

- That means y added by 3

∴ $y=\frac{1}{x-5}+3$

The new function is $y=\frac{1}{x-5}+3$ , where x ≠ 5

3 0

3 years ago

The short side of a triangle is always opposite the

Goryan [66]

That would be B
- smallest angle

7 0

3 years ago

The question is in the image inserted below

neonofarm [45]

Answer:

median is 75 and range is 45

Step-by-step explanation:

range is largest number - smallest number so 95-50=45

Median is the medium of all the data. The medium is shown by the middle line in the box portion of the plot.

5 0

2 years ago

Please help if you can

NemiM [27]

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3 years ago

Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36}

Brums [2.3K]

1st quartile: 11

median: 38.50000

3rd quartile: 45

<h3>According to the given information:</h3>

Order these numbers in increasing order: 6, 7, 15, 36, 41, 43, 47, 49
There is a 38.5 median (it is the mean of 36 and 41 - the pair of middle entries).
6,7,15,36, or the left-most half of the data, make up the sample.
The median of the lower half is 11, which is the first quartile (it is the mean of 7 and 15 - the pair of middle entries).
41, 43, 47, and 49, which are the data points in the upper half, are to the right of the median.
The median of the upper half is 45 in the third quartile (it is the mean of 43 and 47 - the pair of middle entries).
The biggest value deviates 10.5 from the median (49-38.5)

Measure descriptive statistics

1st quartile: 11

median: 38.50000

3rd quartile: 45

To know more about quartile visit:

brainly.com/question/8737601

#SPJ4

I understand that the question you are looking for is :

2 Drag the tiles to the boxes to form correct pairs. Match the values associated with this data set to their correct descriptions. {6, 47, 49, 15, 43, 41, 7, 36} first quartile 38.5 median 11 third quartile 10.5 the difference of the largest value and the median 45

7 0

2 years ago