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.
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.




Therefore, the correct option is C.
Since there is two negative signs in the original equation, you need two negative signs in the equivalent one as well.
Because one of the negatives if before the fraction, it doesn't matter if the second negative is on the 13 or on the 12.
The answer is A.