Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
Answer:
The answer is 138*
Step-by-step explanation:
The next one is 7
And the length of side X is 47m
The building is 31m tall
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The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.
<h3>What is the Reciprocal of a Number?</h3>
The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.
Another example is a/b. The reciprocal of a/b is b/a.
Thus, the reciprocal of -2/5 is -5/2.
Expressing this as a decimal, we would have:
-5/2 = 2.5 (nearest tenth).
Therefore, the reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.
Learn more about the reciprocal of a number on:
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That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
<h3>What is tanθ?</h3>
Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
- tanθ = y/x,
- sinθ = x and
- cosθ = y
Substituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
Learn more about tanθ here:
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