Answer:
GB = 15
Step-by-step explanation:
DC, EB and FA are the medians of the triangle.
The point G where the medians intersect is the centroid.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, hence
FG = 2GA, that is
5x = 2(x + 9)
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Hence
GB = 2x + 3 = (2 × 6) + 3 = 12 + 3 = 15
C. -2 because it is higher up in the negatives whereas -6 and -13 are lower even though the number seems greater
Answer:
angle 1=94 degree
Step-by-step explanation:
-x + 106=5x + 34 (they are alternate interior angles)
106-34=5x+x
72=6x
72/6=x
12=x
substitute the value of x in 5x + 34
5*12 + 34
60+34
94
Now,
angle 1 =5x +134 ( they are vertically opposite angles)
angle 1=94 degree
The answer is the second one down, WRS and VRT
We know that
The inscribed angle Theorem states that t<span>he inscribed angle measures half of the arc it comprises.
</span>so
m∠D=(1/2)*[arc EFG]
and
m∠F=(1/2)*[arc GDE]
arc EFG+arc GDE=360°-------> full circle
applying multiplication property of equality
(1/2)*arc EFG+(1/2)*arc GDE=180°
applying substitution property of equality
m∠D=(1/2)*[arc EFG]
m∠F=(1/2)*[arc GDE]
(1/2)*arc EFG+(1/2)*arc GDE=180°----> m∠D+m∠F=180°
the answer in the attached figure