Answer:
23 degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line is 180°
103+3x+15+x+10 = 180
128+4x =180
4x = 180-128
4x = 52
x = 52/4
x = 13
The measure of the angle of the intersection between Derby Drive and Rosemont is x+10
= 13+10
= 23 degrees
Hence the measure of the angle is 23 degrees
Answer:
Step-by-step explanation:
Factorize:
<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:
Therefore, (x - 1) is a factor.
As the polynomial is cubic:
Expanding the brackets:
Comparing coefficients with the original polynomial:
Therefore:
Cannot be factored any further.
Option C: is the surface area of the prism
Explanation:
Given figure is a triangular prism.
We need to determine the surface area of the triangular prism.
The formula to find the surface area of the triangular prism is given by
where b is the base of the triangle,
h is the height of the triangle,
are the three sides of the triangle and
H is the height of the prism.
Let us substitute the values ,
,
,
,
and
in the formula, we get,
Simplifying, we get,
Multiplying the term, we get,
Adding the terms, we have,
Thus, the surface area of the prism is
Hence, Option C is the correct answer.
