A = ab ( the area of rectangle )
a b = 192
a b r² = 363
192 r² = 363
r = √363 / 192 = √121/64
r = 11/8
The similarity ratio of the two rectangles is 11/8.
Answer:
3, 50, 2
Step-by-step explanation:
By multiplying all terms by 5, we are trying to remove the fraction on the left hand side. On the right hand side of the equation, expand the bracket by multiplying 5 to each term in the bracket.
3(n +25)= 5(10) +5(
)
3(n +25)= 50 +2n
To find the value of n, expand the bracket on the left hand side:
3(n) +3(25)= 50 +2n
3n +75= 50 +2n
Bring all n terms to one side, constants to the other:
3n -2n= 50 -75
n= -25
Answer:
The length if the garden is 21 meters.
The width of the garden is 5.25 meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.
The new length of the garden is 3 times as long as the original length of the garden.
Answer:
Step-by-step explanation:
x^2 + 2x = 6x+45
x^2 -4x -45 =0
x^2 - 5x +9x -45 =0
x(x-5) +9 (x-5)=0
(x-5)(x+9)=0
x = 5, -9
x = 5; measure of exterior angle = 5^2+2(5) = 35
x=-9; measure of exterior angle = (-9)^2 + 2(-9) = 63