Answer:
26°
Step-by-step explanation:
<DFG+<EFG = 180°( Being sum of adjacent angle in linear pair is 180°)
You can also write;
<DFG+<EFG = 180°( Being sum of supplementary angle is 180°)
By putting the value of those angles;
5y+3+(2y-5)=180
5y+3+2y-5=180
5y+2y-5+3 =180°
7y-2=180°
7y=180+2
7y=182
y=182/7
y=26°
Hence,
The value of y is 26°
![\bf sin(x)[csc(x)-sin(x)]~~=~~cos^2(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(x)\left[\cfrac{1}{sin(x)}-\cfrac{sin(x)}{1} \right]\implies \underline{sin(x)}\left[\cfrac{1-sin^2(x)}{\underline{sin(x)}} \right] \\\\\\ 1-sin^2(x)\implies cos^2(x)](https://tex.z-dn.net/?f=%5Cbf%20sin%28x%29%5Bcsc%28x%29-sin%28x%29%5D~~%3D~~cos%5E2%28x%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20sin%28x%29%5Cleft%5B%5Ccfrac%7B1%7D%7Bsin%28x%29%7D-%5Ccfrac%7Bsin%28x%29%7D%7B1%7D%20%5Cright%5D%5Cimplies%20%5Cunderline%7Bsin%28x%29%7D%5Cleft%5B%5Ccfrac%7B1-sin%5E2%28x%29%7D%7B%5Cunderline%7Bsin%28x%29%7D%7D%20%5Cright%5D%20%5C%5C%5C%5C%5C%5C%201-sin%5E2%28x%29%5Cimplies%20cos%5E2%28x%29)
recall again, sin²(θ) + cos²(θ) = 1.
Answer: 341 + 35 = 376
Step-by-step explanation:
Slope is -4-1/-7-3= -5/-10=1/2 it is y2-y1/x2-x1
the equation is y-y1= m(x-x1)= y-(-4) =1/2(x-3) =y+4 =1/2(x-3)
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:

Now let us solve for x.


Now let us substitute
in 7x (amount of money that Egil gets).

Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.