Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees
Answer:
x = 47
2x+6 = 100 which is the angle measure
Step-by-step explanation:
The angles are vertical and vertical angles are equal
2x+6 = 100
Subtract 6 from each side
2x+6-6 =100-6
2x = 94
Divide by 2
2x/2 = 94/2
x =47
Now to find the measure of 2x+6
We know that it is equal to 100
so 2x+6 = 100
You did ask for the EXACT value, which no one has posted yet. The exact value is √(2 + √3)/2. To three decimal places, that is .966.
As for how I got that, I started with a 30-60-90 triangle and extended the longer side by the length of the hypotenuse to get a 15-75-90 triangle, then used Pythagoragus. For some reason, though, most students have an easier time using a half-angle formula, so feel free to do it that way.
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OK, sorry, I see Awesome Sauce also gives an exact value. It is also correct, just looks a little different.
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From your comment in Additional Details, it appears you want to use the angle difference relation: cos(π/12) = cos(π/4 - π/6). That works also, but you need to get the formula right, which is:
cos(a - b) = cos a * cos b + sin a * sin b
For cos (45 - 30), this gives cos 45 * cos 30 + sin 45 * sin 30 = √2/2 * √3/2 + √2/2 * 1/2 = √2/4(√3 + 1). This is yet another expression for the same exact value.
2/3x-1/5=x-1
Add similar elements 23x-15=8x
Subtract x from both sides 8x-x=x-1-x
Simply 7x=-x
Divide both sides by 7 7x = -1
__ __. *Simply: x=-1/7
7 7
This is how you would work it out :
Add 40 to each side
X^2= 12
Square root each side
X = 12 square rooted