Answer:
-n - 2
Step-by-step explanation:
3n+2(-2n-1)
= 3n -4n -2
= -n - 2
Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to
therefore
Is shaded 5/8 of the area of the rectangle
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Answer:
Given two linearly independent vectors w and z
We want -w-z
Hence apply a negative gradient to w
w=-<-5,3> =<5,-3>
So <5,-3>-<1,4> = (<5-1>,<-3-4>)
The answer is <4,-7>
Answer:
C
Step-by-step explanation:
1. Identfiy The type therom it is which is alternate interior
2. Find the converse of the alternate interior which is the oppoiste so it has to be alternate exterior angle
