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AlladinOne [14]
2 years ago
9

Solve similar triangles (advanced)

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
3 0

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

<em>Additional comment</em>

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

You might be interested in
1. r - 29 = -2r + 19
Sphinxa [80]

Answer: r=16

Step-by-step explanation:

r-29=-2r+19

r=−2r+19+29

r=−2r+48

r+2r=48

3r=48

r=48/3

r=16

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

7 0
3 years ago
Is 9.521521521 rational or irrational
enyata [817]

If the numbers after the decimal terminate, yes, it's rational.

9.521521521 = 9,521,521,521 / 1,000,000,000

If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.

If <em>x</em> = 9.521521521…, then

1000<em>x</em> = 9521.521521521…

Subtract <em>x</em> from this to eliminate the fractional part:

1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…

999<em>x</em> = 9512

<em>x</em> = 9512/999

If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like

9.521521521<u>19484929271283583457</u>…

then the number would be irrational.

7 0
3 years ago
If the domain of f(n) = -4n - 3 is (-1, 1/4,4}, what is the range?
ahrayia [7]

Answer:

Range= \{1,-4,-19\}

Step-by-step explanation:

Given

f(n) = -4n - 3

n = \{-1,1/4,4\} --- domain

Required

Determine the range

To do this, we simply substitute the values of n in the given expression

So, we have:

n = -1

f(-1) = -4 * -1 - 3 =4 - 3 = 1

n = 1/4

f(-1) = -4 * 1/4 - 3 =-1 - 3 = -4

n=4

f(-1) = -4 * 4 - 3 =-16 - 3 = -19

Hence, the range is:

Range= \{1,-4,-19\}

5 0
3 years ago
Andys total bill for lunch is 20 dollars.the cost of the drink is 15 percent of the total bill and the ref is the cost of the fo
adoni [48]
85 percent and $17 is the answer
7 0
3 years ago
Mrs. Goldstein is building a new house. She creates a scale drawing of the house on a piece of paper. The scale is 1cm = 5.5ft.
enyata [817]

Answer:11343.75 feet

Step-by-step explanation:

so you do 15 x 5.5 and then 25 x 5.5 then you times the answers of the two and you get your answer

this should be right.

Hoped this helped

4 0
3 years ago
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