The algebraic expression for the given word problem is 12/y + 7
<h3>Writing an expression</h3>
From the question, we are to write the algebraic expression for the given word problem
The given word problem is
"the quotient of 12 and a number y increased by 7"
First,
"the quotient of 12 and a number y" can be expressed as
12/y
Then,
"the quotient of 12 and a number y increased by 7" becomes
12/y + 7
Hence, the algebraic expression for the given word problem is 12/y + 7
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Answer:
The 
have the wrong values.
Step-by-step explanation:
The point (-7,-24) lies in the third quadrant, where the only tangent function will have a positive value and all the other trigonometric functions are negative.
The origin has a distance from the point is 
.
If the point makes an angle 
with the negative x-axis, then
Therefore, the have the wrong values. (Answer)
'Complement' = difference between an angle an 90 degrees.
'Supplement' = difference between an angle and 180 degrees.
Complement of A = 90 - A
Supplement of A = 180 - A
The problem says that the complement is 1/6 of the supplement, right ?
So <u> 90 - A = (1/6) x (180 - A)</u>
Multiply each side of this equation by 6 :
540 - 6 A = 180 - A
Subtract 180 from each side:
360 - 6 A = - A
Add 6A to each side :
360 = 5 A
Divide each side by 5 :
<u>A = 72°</u>
3/4 is the answer I think maybe
