Answer:
<h3>B. 16°</h3>Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
Answer:
Step-by-step explanation:
According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).
It is given that has a remainder of 14.
Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get
So, by remainder theorem, remainder of is f(-6).
Since the remainder is 14, therefore
Therefore, the answer for first blank is -6 and for second blank is 14, i.e., .
<u>Given</u>:
The base of the triangle is b = 3 feet.
The height of the triangle is h = 4 feet.
The other side of the triangle is 5 feet.
The height of the triangular prism is 20 feet.
We need to determine the surface area of the triangular prism.
<u>Surface area of the triangular prism:</u>
The surface area of the triangular prism is given by the formula,
where b is the base of the triangle,
h is the height of the triangle,
s₁ , s₂ and s₃ are the sides of the triangle and
H is the height of the triangular prism.
Substituting the values, we get;
Thus, the surface area of the triangular prism is 252 ft²