The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.
Let us find area of each figure separately.
Triangle:
Area of triangle is given by:
where b=base and h=height
Height of triangle :
h=(3x+5)-(2x+1)
h=x+4
Base = 2x-2
Area of triangle= (x-1)(x+4) = x²+3x-4
Area of rectangle:
Area of rectangle is given by:
A=l*b
Area of rectangle = 4x²-2x-2
Area of pentagon = Area of triangle + Area of rectangle
Area of pentagon = x²+3x-4 + 4x²-2x-2
Area of pentagon = 5x²+x-6
If area of pentagon is 42 cm², then solving for x,
Factorising to get x,
x=-3.2 and x=3
If we take x as negative the side will be negative, so we neglect x=-3.2
So x=3 is the answer.
The percentage error is 11.1%
<h3>What is percentage error?</h3>
Percentage error is simply the difference between the exact and the estimated values as a percentage
The given parameters are:
The percentage error is then calculated as:
Evaluate the difference
So, we have:
Hence, the percentage error is 11.1%
Read more about percentage errors at:
brainly.com/question/5493941
The answer is B because they are alternating exterior angles
In the same way as you could factor trinomials on the form of
<span><span><span>x2</span>+bx+c</span><span><span>x2</span>+bx+c</span></span>
You can factor polynomials on the form of
<span><span>a<span>x2</span>+bx+c</span><span>a<span>x2</span>+bx+c</span></span>
If a is positive then you just proceed in the same way as you did previously except now
<span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span><span>a<span>x2</span>+bx+c=<span>(<span>x+m</span>)</span><span>(<span>ax+n</span>)</span></span></span>
<span><span>where c=mn,ac=pq </span><span>and b=p+q=am+<span>n</span></span></span>
The greatest value that the remainder may have when divided by 16 is 15.
Thus, your required answer is 15.
REGARDS, ARNAB ✌️
THANK YOU
