Two intersecting lines will form 2 pairs of congruent vertical angles. Congruent angles have the same angle measure and vertical angles are opposite angles formed by two intersecting lines. Hope this helps.
All the measures in a triangle are equal to 180 degrees.
Let the unknown angle= x.
40+89+x= 180
Combine like terms.
129+x= 180
Subtract 129 from both sides.
x= 51
The angle is equal to 51.
I hope this helps!
~kaikers
Answer:
<em>{ - 2 , 8 } </em>
Step-by-step explanation:
( x² - 6x ) = 2
4² = ( x² - 6x )
x² - 6x - 16 = 0
- 6 = - 8 + 2
- 16 = - 8 * 2
( x - 8 )( x + 2 ) = 0 ⇒
= - 2 ,
= 8
<em>{ - 2 , 8 }</em>
Answer:
Part (A) The required volume of the column is
.
Part (B) The volume be
.
Step-by-step explanation:
Consider the provided information.
It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.
Also One vertex of the square lies on L.
Part (A)
Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.
This square moves a distance h along L, and generate a corkscrew-like column with square.
The cross section will remain the same.
So the cross section area of original column and the cross section area of twisted column at each point will be the same.
The volume of the column is the area of square times the height.
This can be written as:

Hence, the required volume of the column is
.
Part (B) What will the volume be if the square turns twice instead of once?
If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

Hence, the volume be
.