Answer:

Step-by-step explanation:

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Answer:
1) 27.374
2)9.177
Step-by-step explanation:
1) To get the value of x , we use the appropriate trigonometric ratio
From what we are given;
we have the hypotenuse ( the side facing the right angle) and the adjacent
The trigonometric identity to use here is the cos
The cos of an angle is the ratio of the adjacent to the hypotenuse
cos 64 = 12/x
x = 12/cos 64
x = 27.374
2) Here, we are given the hypotenuse and the opposite
The trigonometric ratio to use here is the sine
the sine of an angle is the ratio of the opposite to the hypotenuse
thus, we have it that;
sin 35 = x/16
x = 16 sin 35
x = 9.177
The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;
Statement A; The equation has one solution, y = 0
The given equation is;
3(-y + 7) = 3(y + 5) + 6
Expanding the brackets gives us;
-3y + 21 = 3y + 15 + 6
-3y + 21 = 3y + 21
Using subtraction property of equality, subtract 21 from both sides to give;
-3y = 3y
Using addition property of equality, add 3y to both sides to give;
-3y + 3y = 3y + 3y
6y = 0
Using division property of equality, divide both sides by 6 to get;
y = 0
Read more about factorization at; brainly.com/question/11000698
The missing statements are;
A. The equation has one solution, y = 0.
B. The equation has one solution, y = -1.
C. The equation has no solution.
D. The equation has infinitely many solutions.