Answer:
<h2>x = 8</h2>
Step-by-step explanation:
x³ - 3x² + 2x - 336 = 0
Find one factor of the polynomial
That's
x - 8
because when its value is equated to zero substituted into the polynomial will give you zero
Factorize x - 8 out
We have
(x - 8) ( x² + 5x + 42) = 0
x - 8 = 0
x = 8
x² + 5x + 42 = 0
Since the roots of this quadratic equation are complex and are not real numbers
<h3>x = 8</h3>
Hope this helps you
Answer:

Step-by-step explanation:

First attatchment:
1. Given
2. Definition of a parrallelogram
3. Transitive
4. Parts of line FE and AB
5. Opposite sides of a parallelogram are parallel.
You want to switch those last two because you're using what you want to prove to prove something before you've proved it, which is fallacious.
SECOND ATTATCHMENT:
In a parallelogram, opposite angles are equal and same side interior angles add up to 180.We have 2x+60+x+30=180 which means 3x+90=180 so x=30.Since x is 30 then angle to is 60 which means that angle A is 60, not 30.
THIRD ATTATCHMENT:
This is just the triangle midpoint theorem. SM is parallel to RU not VS.
FOURTH ATTATCHMENT:
Angle X and angle F are corresponding angles, so they are actually equal. You want Angle G and Angle F becuase they are same side interior angles.
FIFTH ATTATCHMENT:
this is correct
Answer:
Volume of the rectangular prism = 2366 cubic inches
Explanations:
The volume of a prism = Base Area x Height
In this case, the base area is referred to as the face area
Base area = 169 square inches
Height = 14 inches
Volume of the prism = 169 x 14
Volume of the rectangular prism = 2366 cubic inches
The floor of the school has the shape of triangle.
So, the area of the floor is equal to the area of that triangle with base = 26 in, and height = 33 in.
The area of triangle = 0.5 * base * height
= 0.5 * 26 * 33 = 429 in²
∴ The area of the floor = 429 in²