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1 year ago

What is the value of x in the figure?

Mathematics

2 answers:

tekilochka [14]1 year ago

6 0

The value of x is 65. We get this answer by multiplying it by 2 which gives us 130, then adding 15, which gives us 145. We know this is 145 degrees because of the primary angle given to us.

musickatia [10]1 year ago

4 0

Answer:

130

Step-by-step explanation:

130 because 130 +15 is equal to 145 and if the angles cross they're the same measure

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RUDIKE [14]

Answer:

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Step-by-step explanation:

so here a is the initial value which 8

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assume that 0<x<pi/2 and 0<y<pi/2. find the exact value of sin(x+y) if cosx=8/17 and siny= 12/37

max2010maxim [7]

Answer:

621 / 629

Step-by-step explanation:

We are given the following information -

cos x = $\frac{8}{17}$ , and sin y = $\frac{12}{37}$

Respectively we can use the following information -

sin( x + y ) = sin x ( cos y ) + sin y ( cos x ),

$cos^2x + sin^2x = 1,\\cos^2y + sin^2y = 1$

Knowing that cos^2x + sin^2x = 1, cos^2y + sin^2y = 1, we can calculate the value of sin x and cos y, plugging it into the first bit " sin( x + y ) = sin x ( cos y ) + sin y ( cos x ) "

$sin^2x = 1 - cos^2x,\\sin^2x = 1 - ( 8 / 17 )^2,\\sin^2x = 15^2 / 17^2\\----------------\\sin ( x ) = 15 / 17$

Respectively cos y should be 35 / 37 -

$cos^2y = 1 - sin^2y,\\cos^2y = 1 - ( 12 / 37 )^2,\\cos^2y = 35^2 / 37^2\\----------------\\cos ( y ) = 35 / 37$

Thus,

sin( x + y ) = ( 15 / 17 ) * ( 35 / 37 ) + ( 12 / 37 ) * ( 8 / 17 ),

sin( x + y ) = 621 / 629

<u><em>Hope that helps!</em></u>

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