Answer:
∠F=78.58484226°
Step-by-step explanation:
a²=b²+c² - 2bc cosA
DE²=EF²+DF² - 2(EF)(DF)cos∠F
18²=16²+12²-2(16)(12)cos∠F
324=256+144-384cos∠F
324-400=-384cos∠F
76=384cos∠F
0.197916=cos∠F
∠F=cos⁻¹(0.197916)
∠F=78.58484226°
Answer:
10u-16
Step-by-step explanation:
Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:
2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16
-3(2/5x-2)=18
multiply -3 by 2/5 and my -2
-6/5x + 6 = 18
subtract 6 from each side
-6/5x = 12
divide by -6/5, multiply 12 by -5/6
x = -10
That can also be written as 1/6y^5
