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IgorLugansk [536]
3 years ago
13

Select the correct answer.

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x\sqrt{3}. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x\sqrt{3}.

x = 3

3 *  \sqrt{3} = 3 \sqrt{3}

y =  3\sqrt{3} (option D)

Hope this helps!! :)

Tpy6a [65]3 years ago
3 0

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

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Find x and the measure of each side.
Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

HF=47.5

Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

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X= 27.5

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On Saturday, the vacation resort offers a discount on water sports. To take
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Answer:

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130--------------(i)

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Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

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