Answer:
Step-by-step explanation:
total degrees of a line is 180
4x+20+60=180
4x=100
X=25
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
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<h3>vector components</h3>
The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>
The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
(2*length)+(2*width)=perimeter
length=4+2w
(2(4+2w))+(2(w))=74
74=(8+4w)+(2w)
74=6w+8
66=6w
w=11
length=4+2(11)
l=4+22
l=26
Answer:

Step-by-step explanation:
Notice that all three sides of the given triangle has one tick mark.
This means that all three sides are congruent, meaning that we have an equilateral triangle.
And for equilateral triangles, all three angles are also congruent.
So:

Also, recall that the interior angles of a triangle is always 180. Thus:

Substitute:

Combine like terms:

Substitute:

Multiply:

Thus:

And we are done!
Step-by-step explanation:
LET THE Point 1 A and point 2 is B
(AB) ^2=(-9-(-3))^2+ (5-(-6))^2+(-4-7)^2=278
AB=16.67 length unit
Midpoint
X=-9-3/2 =-6
Y=5-6/2=-0.5
Z=-4+7/2=-1.5