Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
<span><span>
The correct answers are:</span><span>
(1) The vertical asymptote is x = 0
(2) The horizontal asymptote is y = 0
</span><span>
Explanation:</span><span>(1) To find the vertical asymptote, put the denominator of the rational function equals to zero.
Rational Function = g(x) = </span></span>

<span>
Denominator = x = 0
Hence the vertical asymptote is x = 0.
(2) To find the horizontal asymptote, check the power of x in numerator against the power of x in denominator as follows:
Given function = g(x) = </span>

<span>
We can write it as:
g(x) = </span>

<span>
If power of x in numerator is less than the power of x in denomenator, then the horizontal asymptote will be y=0.
If power of x in numerator is equal to the power of x in denomenator, then the horizontal asymptote will be y=(co-efficient in numerator)/(co-efficient in denomenator).
If power of x in numerator is greater than the power of x in denomenator, then there will be no horizontal asymptote.
In above case, 0 < 1, therefore, the horizontal asymptote is y = 0
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ANSWER
No solution
EXPLANATION
The first equation is

and the second equation is

We equate the two equations to obtain;

This implies that


There is no real number whose square is -1.
Therefore, the equation has no solution.
Answer:
As both prism have the same base area and height there volumes are the same.
Step-by-step explanation:
Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
The length of the longer side is the length of the triangle itself.
For example the length of longer side of prism A maybe 10 units but width may be 1/2 units
and
the length of longer side of prism B maybe 15 units but width may be 1/3 units
the total base area remains the same.