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12345 [234]
3 years ago
11

Please help me answer this question!!!

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

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Suppose 21% of people own a dog. If you pick two people at random, then what is the probability that they both own a dog?​
Goshia [24]

Hello there i hope you are having a great day :) Your question: Suppose 21% of people own a dog. If you pick two people at random, then what is the probability that they both own a dog?​

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zheka24 [161]
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6 0
3 years ago
A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
GalinKa [24]
Ahh, this question goes all the way back to my year 9 test a couple years ago; which I got wrong back then - I now know how

Firstly we find the expression for the area (using x as the walk way):
>50x * 2 (the left and right) 
>20x * 2 (the top and bottom)
>4 * x^2 (the corners)

Add them all together , Area = 140x + 4x^2
Now we place the deck's area, <u>456</u> into the expression

456 = 140x + 4x^2

Solve for x
I'm a bit rusty on this i'm afraid, but I believe the only way to solve this is to factorise it
0 = 4x^2 + 140x - 456
0 = 4(x+38)(x-3)            <
<u>x must = -38 or = +3 (the numbers inside the brackets inverted)</u>
x must = +3 as it's logical, you can't have a negative width


The walkway is 3 feet wide, we can put this into our expression to double check this,
<em>456 = 140*(3) + 4(3)^2</em>
<em>456 = 420 + 4*9</em>
<em>456 = 420 + 36</em>
<em>456 = 456
</em>Yes, 3 feet wide is correct.


*Note, 
I tried to keep this simple, please let me know if I didn't go into enough detail anywhere
7 0
4 years ago
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