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2 answers:
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Answer:
The area of the rectangle is increased in 76 percent.
Step-by-step explanation:
The area of a rectangle () is represented by the following formula:
Where:
- Width.
- Length.
If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: (,
)
The area of the rectangle is increased in 76 percent.
Given:
A figure.
To find:
The value of x.
Solution:
Draw two parallel lines as shown in the below figure.
If a transversal line intersect two parallel lines, then alternate interior angles are same.
(Alternate interior angle)
(Alternate interior angle) ...(i)
The value of angle d is
Using (i), we get
If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.
Now,
Therefore, the value of x is 70.
Answer:
The solutions to this are x = -5, and x = 3.
Step-by-step explanation:
This can be solved by rearranging the equation into a proper quadratic format, and factoring it:
This tells us that the x can be equal to -5 or 3.