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a_sh-v [17]
3 years ago
15

ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0
Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)

For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
s \sqrt{3}  = 2 \sqrt{3}  \\ s \sqrt{3} \div  \sqrt{3}   = 2 \sqrt{3} \div  \sqrt{3}  \\ s = 2
So now, the hypotenuse (RT) = 2s = 2(2) = 4

Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
s \sqrt{2}
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4

x = 4 IS THE FINAL ANSWER!!!


[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
ch4aika [34]3 years ago
5 0

Answer: The correct answer is 4

Step-by-step explanation:

Here is proof from the quiz

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Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each
Ludmilka [50]
We can solve with a system of equations, and use c for the amount of cans of soup and f for the amount of frozen dinners.


The first equation will represent the amount of sodium. We know the (sodium in one can times the number of cans) plus (sodium in one frozen dinner times the number of dinners) is the expression for the total sodium. We also know the total sodium is 4450, so:


250c + 550f = 4450


The second equation is to find how many of each item are purchased:


c + f = 13


Solve for c in the second equation:


c = 13 - f


Plug this in for c in the first equation:


250(13-f) + 550f = 4450


3250 - 250f + 550f = 4450


300f = 1200


f = 4


Now plug the value for f into the second equation:


c + 4 = 13


c = 9


The answer is 9 cans of soups and 4 frozen dinners.


6 0
3 years ago
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Free_Kalibri [48]

Answer:10th place

Step-by-step explanation:

7 0
2 years ago
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ANSWER ASAP<br> THANKS<br> ...............
mylen [45]

Answer:

250

Step-by-step explanation:

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Vinil7 [7]

Answer:

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Step-by-step explanation:

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