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IRINA_888 [86]
1 year ago
12

ΔABC was dilated from point A to get ΔADE. Find the length of AD given a scale factor of 4.

Mathematics
1 answer:
rewona [7]1 year ago
6 0

Since triangle ADE is similar to triangle ABC and the scale factor is 2, the following relation must be fulfilled:

\frac{AD}{AB}=4

The, by substituting the given information, we have

\begin{gathered} \frac{6x-8}{x+2}=4 \\  \end{gathered}

By multiplying both sides by x+2, we get

6x-8=4(x+2)

which gives

6x-8=4x+8

Then, by subtracting 4x to both sides, we have

2x-8=8

and by adding 8 to both sides, we obtain

2x=16

then, x is given by

x=\frac{16}{2}=8

Then, by substitutn

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To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures
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Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1       2

2      4

3       1

5       2

6       3

9        1

11        1

14        1

15       1

18       1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term  

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

6 0
3 years ago
50 POINTS PLEASE HELP! In order to rewrite log9 (6/5) as log9 (6) - log9 (5) , which of the following is used?
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B. Is the correct answer.
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PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my comput
tankabanditka [31]

Answer:

a^2+b^2=c^2 look below

Step-by-step explanation:

Count the squares so

3^2+4^2=5^2

3*3=9

4*4=16

5*5=25

9+16=25 and it does check out

this should help if u need more explanation ill be more then happy to explain to you

7 0
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The volume of the rectangular prism is 60x^3 + 145x^2 + 70x. Factor to find the possible expressions for length, width and heigh
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The volume of the rectangular prism:
V=length\cdot width\cdot height=lwh

60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2
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