Answer:
See explanation
Step-by-step explanation:
Simplify left and right parts separately.
<u>Left part:</u>
![\left(1+\dfrac{1}{\tan^2A}\right)\left(1+\dfrac{1}{\cot ^2A}\right)\\ \\=\left(1+\dfrac{1}{\frac{\sin^2A}{\cos^2A}}\right)\left(1+\dfrac{1}{\frac{\cos^2A}{\sin^2A}}\right)\\ \\=\left(1+\dfrac{\cos^2A}{\sin^2A}\right)\left(1+\dfrac{\sin^2A}{\cos^2A}\right)\\ \\=\dfrac{\sin^2A+\cos^2A}{\sin^2A}\cdot \dfrac{\cos^2A+\sin^A}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A}\cdot \dfrac{1}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A\cos^2A}](https://tex.z-dn.net/?f=%5Cleft%281%2B%5Cdfrac%7B1%7D%7B%5Ctan%5E2A%7D%5Cright%29%5Cleft%281%2B%5Cdfrac%7B1%7D%7B%5Ccot%20%5E2A%7D%5Cright%29%5C%5C%20%5C%5C%3D%5Cleft%281%2B%5Cdfrac%7B1%7D%7B%5Cfrac%7B%5Csin%5E2A%7D%7B%5Ccos%5E2A%7D%7D%5Cright%29%5Cleft%281%2B%5Cdfrac%7B1%7D%7B%5Cfrac%7B%5Ccos%5E2A%7D%7B%5Csin%5E2A%7D%7D%5Cright%29%5C%5C%20%5C%5C%3D%5Cleft%281%2B%5Cdfrac%7B%5Ccos%5E2A%7D%7B%5Csin%5E2A%7D%5Cright%29%5Cleft%281%2B%5Cdfrac%7B%5Csin%5E2A%7D%7B%5Ccos%5E2A%7D%5Cright%29%5C%5C%20%5C%5C%3D%5Cdfrac%7B%5Csin%5E2A%2B%5Ccos%5E2A%7D%7B%5Csin%5E2A%7D%5Ccdot%20%5Cdfrac%7B%5Ccos%5E2A%2B%5Csin%5EA%7D%7B%5Ccos%5E2A%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Csin%5E2A%7D%5Ccdot%20%5Cdfrac%7B1%7D%7B%5Ccos%5E2A%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Csin%5E2A%5Ccos%5E2A%7D)
<u>Right part:</u>
![\dfrac{1}{\sin^2A-\sin^4A}\\ \\=\dfrac{1}{\sin^2A(1-\sin^2A)}\\ \\=\dfrac{1}{\sin^2A\cos^2A}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Csin%5E2A-%5Csin%5E4A%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Csin%5E2A%281-%5Csin%5E2A%29%7D%5C%5C%20%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Csin%5E2A%5Ccos%5E2A%7D)
Since simplified left and right parts are the same, then the equality is true.
6 chairs, 37 does not divide into a whole number with the number 6 so you would have to round it and it’s 6.
Answer:
B
Step-by-step explanation:
Reflection over the line y=0, if you look at your given pre image and image. You can see both images are between the y axis line. Also if you count the units from pre image and image you can see the Reflection over the y:0 line.
Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees