Answer:
Step-by-step explanation:
Part 1.
The sine of an angle is defined as; Opposite side/the Hypotenuse. From the right angle triangle given; sin x =5/13.
The cosine of an angle is defined as; Adjacent side/Hypotenuse. From the right angle triangle given; cos x =12/13.
The tangent of an angle is defined as; Opposite side/Adjacent side. From the right angle triangle given; tan x =5/12.
Part 2.
We use the same definitions of the trigonometric ratios above;
sin y =12/13
cos y =5/13
tan y =12/5
Part 3.
The sin∠X and the cos∠Y are equal, their value is 5/13. The sine of angle is always equal to the cosine of its complement. In this case, ∠X+∠Y =90 hence ∠X is a complement of ∠Y.
Part 4.
The tangents of ∠X and ∠Y are inverses of each other. The tangent of an angle will always be equal to the inverse or reciprocal of the tangent of its complement.
Answer: x < 
<u>Step-by-step explanation:</u>


2(6)x - 10(12) < 10(2) - 5(3)x
12x - 120 < 20 - 15x
<u> +15x </u> <u> +15x </u>
27x - 120 < 20
<u> +120 </u> <u>+120</u>
27x < 140

x < 
Bagels 6x12=72
apples 8x9=72
cookies 12x6=72
juice 9x8=72
72/4 kids is 18 lunches
Our three numbers are...
3 3/10 = 3.3
3.1
3 1/4 = 3.25
So, if we order those from least to greatest, we have...
3.1, 3.25, 3.3
which, in the forms given, is...
3.1, 3-1/4, 3-3/10