Answer:
x = 1
Step-by-step explanation:
We know that the two angles must be equal to each other. So:
65x - 12 = 43x + 10
First add 12 to both sides:
65x - 12 + 12 = 43x + 10 + 12
65x = 43x + 22
Then subtract 43x from both sides:
65x - 43x = 43x - 43x + 22
22x = 22
x = 1
Ok so differnce of 2 perfect ssquares are
x^2-y^2=(x-y)(x+y)
we are given
one factor is 5x-8
remember that all you do is square both terms individually to get them
(5x)^2=25x^2
8^2=64
they are difference so
25x^2-64 is answer
The sides of the triangle are 3x, 4x and 5x
3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5
first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm