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.
The answer should be roughly 35.4%.
You can obtain this answer by looking at the percentage of each subgrouping. For instance, 33% of the class in juniors and 45% of them list soccer as their favorites. Thus showing that 14.85% of the entire school is made up of juniors that enjoy soccer.
If you do the totaling for all soccer lovers, you get a total of 41.95% of the school. By dividing the two numbers you get the answer above.

Let one of those even numbers be x, Then other even number would be x + 2.
<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>
⇛ Their reciprocal add upto 3/4
<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>
⇛ 1/x + 1/x + 2 = 3/4
⇛ x + 2 + x / x(x + 2) = 3/4
⇛ 2x + 2 / x² + 2x = 3/4
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x² + 2x) = 4(2x + 2)
⇛ 3x² + 6x = 8x + 8
⇛ 3x² - 2x - 8 = 0
⇛ 3x² - 6x + 4x - 8 = 0
⇛ 3x(x - 2) + 4(x - 2) = 0
⇛ (3x + 4)(x - 2) = 0
Then, x = -4/3 or 2
☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2
Then, x + 2 = 4
✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>
<u>━━━━━━━━━━━━━━━━━━━━</u>
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Answer:
Step-by-step explanation:
4/3 x+3/5= -3
4/3x= -3-3/5
x =-18/5*3/5
=-54/25