Answer:
Θ = 50°
Step-by-step explanation:
Using the cofunction identity
tan(90 - x)° = cotx°
Given
cot40°, then
tan Θ = tan(90 - 40)° = tan50°
Thus Θ = 50°
Is ############### hope this help u out xxx
Answer:
Yes, ASA
Step-by-step explanation:
It is angle- side- angle because of the HLK< it is ASSA but since the SS are the same, its ASA.
Hope this helps!
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line above
![(\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{4}}} \implies \cfrac{3 +2}{-1 -4}\implies \cfrac{5}{-5}\implies \cfrac{1}{-1}\implies -1 \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B4%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B-1%7D~%2C~%5Cstackrel%7By_2%7D%7B3%7D%29%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%20%7B%5Cstackrel%7By_2%7D%7B3%7D-%5Cstackrel%7By1%7D%7B%28-2%29%7D%7D%7D%7B%5Cunderset%7Brun%7D%20%7B%5Cunderset%7Bx_2%7D%7B-1%7D-%5Cunderset%7Bx_1%7D%7B4%7D%7D%7D%20%5Cimplies%20%5Ccfrac%7B3%20%2B2%7D%7B-1%20-4%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B-5%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B-1%7D%5Cimplies%20-1%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{-1}} ~\hfill \stackrel{reciprocal}{\cfrac{-1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{-1}{1}\implies 1}}](https://tex.z-dn.net/?f=%5Cstackrel%7B~%5Chspace%7B5em%7D%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D~%5Chspace%7B5em%7D%7D%20%7B%5Cstackrel%7Bslope%7D%7B%5Ccfrac%7B1%7D%7B-1%7D%7D%20~%5Chfill%20%5Cstackrel%7Breciprocal%7D%7B%5Ccfrac%7B-1%7D%7B1%7D%7D%20~%5Chfill%20%5Cstackrel%7Bnegative~reciprocal%7D%7B-%5Ccfrac%7B-1%7D%7B1%7D%5Cimplies%201%7D%7D)
BD is the same length as FD, so FD=14