Answer:
Area of ΔDEF is
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB =
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Thus the area of ΔDEF is
.
f-¹(x)=
Answer:
Solution given:
f(x)=
Let f(x)=y
y=
Interchanging role of x and y
x=
doing crisscrossed multiplication
x(y+7)=-2y+2
now solve it:
xy+7x=-2y+2
keep like terms in one side
xy+2y=2-7x
take common
y(x+2)=2-7x
make a value of y
y=
So,
f-¹(x)=
Answer:
Assume:
(angle) RSB and angle (LSA) = D
and (line) ASR and (line) LSB is striaght then
(9x +27) + D = 180
(6x + 66) + D = 180
9x + D = 153
6x + D = 114
substitute
6x + D = 114
D = 114 - 6 x
9x + (114 - 6x) =153
3x = 39
x = 13
D = 114 - 6(13)
D=36
Step-by-step explanation:
The correct option is fourth option
Explanations:
From the data, re-arranging in ascending order, the median of the data is 58.
The upper quartile is 62, while the lower quartile is 54
From the options, only the 4th options represent a box plot of median 58, upper quartile of 62 and lower quartile of 54. This makes it the correct option
Step-by-step explanation:
solution.
Let S represent side of the equilateral triangle.
perimeter of equilateral ∆ =3×S
Therefore,if we let width to be represented by W
Width of rectangle=W
Length of rectangle=2W
one side of equilateral triangle= W+8
Therefore after analysing the question, the true statement is; The length of the rectangle is 2W