Answer:
(8x+15)=(7x+17){ being alternative angle}
8x+15=7x+17
8x-7x=17-15
x=2
here,
8x+15= 8×2+15
16+15=31
7x+17
7×2+17
14+17
31
again
(8x+15)+y=180°( being straight angle)
31+y=180
y=180-31
y= 149
Answer:
Step-by-step explanation:
![\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}](https://tex.z-dn.net/?f=%5Csin%202%5Ctheta%20%3D%202%20%5Csin%20%5Ctheta%20%5Ccos%20%5Ctheta%5C%5C%5C%5C%5C%5C~~~~~~~~%3D2%5Csqrt%7B1%20-%5Ccos%5E2%20%5Ctheta%7D%20%5Ccdot%20%5Ccos%20%5Ctheta~~~~~~~~~~~%3B%5B%5Ctext%7BIn%20quadrant%20I%2C%20all%20ratios%20are%20positive.%7D%5D%5C%5C%5C%5C%5C%5C~~~~~~~~%3D2%20%5Csqrt%7B1-%20%5Cleft%28%20%5Cdfrac%7B12%7D%7B13%7D%20%5Cright%29%5E2%7D%20%5Ccdot%20%5Cleft%28%5Cdfrac%7B12%7D%7B13%7D%20%5Cright%29%5C%5C%5C%5C%5C%5C~~~~~~~~%3D%5Cleft%28%20%5Cdfrac%7B24%7D%7B13%7D%20%5Cright%29%20%5Csqrt%7B1-%20%5Cdfrac%7B144%7D%7B169%7D%7D%5C%5C%5C%5C%5C%5C~~~~~~~~%3D%5Cdfrac%7B24%7D%7B13%7D%5Csqrt%7B%5Cdfrac%7B25%7D%7B169%7D%7D%5C%5C%5C%5C%5C%5C~~~~~~~%3D%5Cdfrac%7B24%7D%7B13%7D%20%5Ctimes%20%5Cdfrac%7B5%7D%7B13%7D%5C%5C%5C%5C%5C%5C~~~~~~%3D%5Cdfrac%7B120%7D%7B169%7D)
The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
brainly.com/question/26249005
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Percent mean parts out of 100
0.2%=0.2/100=0.02/10=0.002/1=0.002
'of' means multiply
'what number'=x
'is' means '='
so
0.2% of what number is 12
0.002 times x=12
divide both sides by 0.002
x=6000
the number is 6000
Answer:
pwedi po Ako manligaw saiyo dahil Ako Kasi is loyal I pls na po baby boy
