Answer:
x = 8, y = 1
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
4y = 4 ( divide both sides by 4 )
y = 1
Also
=
( cross- multiply )
x = 8
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = <u>14</u>.
Answer:
2/3 or 3/2
Step-by-step explanation:
Let x represent the number. The given relation is ...
x +1/x = 2 1/6
x^2 +1 = (13/6)x
6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6
(6x -9)(6x -4)/6 = 0 . . . . factor
(2x -3)(3x -2) = 0 . . . . . . simplify a bit
x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero
The number is 2/3 or its reciprocal, 3/2.
Answer:
<h2>
x=1</h2>
Step-by-step explanation:
|20x|=|4x+16|
or, 20x-4x=16
or, 16x=16
Hence, x=1
In this equation y would equal 4 or it could be 1