Answer:
The answer is B. 
Step-by-step explanation:
It states that the figures in the pair are similar
When you multiply 5*8 it gives you 40 on the first angle
If the figures are similar then the other angle will equal 40.
So we need to find out which number that is multiplied by 12 that will give you 40.
If we multiply 
, it should give you 40.
Convert The mixed number into a improper fraction:
3 1/3=3*3+1/3
=10/3
Convert the element into a fraction:
12/1*10/3
Factor the number:
3*4/1=10/3
Cross - cancel the common factor: 3
4/1*10/1
Apply the fraction rule:
4*10/1*1
Multiply the numbers: 4*10=40
=40/1*1
Multiply the numbers: 1*1=1
=40/1
Apply the Fraction rule:
=40
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%.
Y = 2x-3
x + y = 18
Since you already know what y is equal to, we can plug that in into the second equation.
x + (2x-3) = 18
x + 2x -3 = 18
3x -3 = 18
Add 3 to both sides of the equation. (By doing this, we can isolate the 3x on the left side by getting rid of the -3)
3x = 21
Divide 3 on both sides
x = 7
The answer is -4.
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