the real solutions for the equation
are -

Step-by-step explanation:
= 
= 0
We can write 64 as
+
= 0
using the identity (
)
we get,
= 
=
....................(1)
solving the quadratic equation ,
=0
solutions of this quadratic equation can be obtained by

let use y for factors




<u />
..................(2)
from the equation 1 we have,

which gives solution
and from equation 2 we got 
so the real solutions for the equation
are -

The measures of the angles are given to be x and y. Since y is 65 degrees less than the measure of angle x then, it can also be expressed as x - 65. The sum of the angles x and y should be 180 degrees as they are supplementary angles,
x + y = 180
x + (x - 65) = 180
The value of x is 122.5 and that of y is 57.5. Therefore, the measures of the angles are 122.5 and 57.5.
The area of a triangle is 1/2 x base x height.
The area of the triangle is 1/2 x 6 x 8 = 24 square cm.
There are 4 identical triangles so 24 x 4 = 96 square cm.
The area of the square base = 6 x 6 = 36 square cm.
Total area = 96 + 36 = 132 square cm.
0.0091 rounded to the nearest hundredths is 0.01.
I hope this helped!!
Those are alternate interior angles and are equal. B.5x=80 x=16.