Answer:
x^2 - 6x + 8 x - 2
x
0 8 -2
1 3 -1
2 0 0
3 -1 1
4 0 2
5 3 3
The solutions are in red ⇒ x = 2 and x = 5
Answer:
The length AD is greater than length BD.
Step-by-step explanation:
Hinge theorem states that if two triangles have two congruent sides then the triangle with the larger angle between those sides will have longer third side
In ΔACD and ΔBCD

So side opposite to greater angle is greater side
Therefore, length AD is greater than length BD.
The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem

a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 4
c = 20
^^^Plug these numbers into the theorem

solve for x
+ 16 = 400
= 384
x = 8√6
or
x ≈ 19.5959....
Hope this helped!
~Just a girl in love with Shawn Mendes
∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144
∴ x = √144 = 12