Answer:
Therefore the area of rectangle is increased by 15.5%.
Step-by-step explanation:
Assume the length and width of the rectangle be x and y respectively.
The area of the rectangle is = length×width
=xy.
Now the length of the rectangle is increased by 10%.
Then the length of the rectangle increased =
.
New length of the rectangle is 


The width of the rectangle is increased by 5%.
Then the width of the rectangle increased =
.
New length of the rectangle is 


New area of the rectangle is = 
= 1.155 xy.
The percentage of area increase is


=15.5.
Therefore the area of rectangle is increased by 15.5%.
Answer:
There isn't a way to prove that the triangles are similar.
Explanation:
Two triangles are similar if they have the same interior angles and the corresponding sides are proportional.
So, to prove that the triangles are similar we can use:
SSS: The three corresponding sides are proportional
SAS: Two sides are proportional and the angle between them is equal
AA: Two angles have the same measure.
In this case, the yellow angles are equal because they are vertically opposite. They are formed by two lines that intersect.
On the other hand, the side with length 3.6 is corresponding with the side with length 9 but the side with length 4.8 is not corresponding with the side with length 12.
Then, there isn't a way to prove that the triangles are similar.
27=3³ and 512=8³
(3x+8y)(9x²-24xy+84y²) are the two factors.
C is the answer.
Answer:
45 x104 = 4680
Step-by-step explanation: