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Yuliya22 [10]
2 years ago
8

What is the value of x? Enter your answer in the box. (8y+12)° and (7x+4)°​

Mathematics
1 answer:
Kitty [74]2 years ago
5 0

Since the triangle is equilateral (you can tell by the tick on each side), all angles have the same measure as well.

The angles of a triangle sum up to 180 degress, so three equal angles must measure 60 degrees each.

So, in particular, we have

7x + 4 = 60 7x = 56 x = 8

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This is how tackle this type of problem:

Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13

Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132

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Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.

Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30

= 5/13 . √3/2 - 12/13 . 1/2

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= (5√3 - 12) / 26

Step-by-step explanation:

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