Answer:
A. AG = 2 × GD
F. GE = (1/2) × BG
Step-by-step explanation:
The given point <em>G</em> on triangle ΔABC, which is the point of intersection of the medians of the triangle, is the centroid of the triangle
The centroid divides each median line in the ratio 2:1, therefore, we have;
The length of AG = 2 × GD, CG = 2 × GF, and BG = 2 × GE
∴ GE = (1/2) × BG
Therefore, the correct options are;
A. AG = 2 × GD, and F. GE = (1/2) × BG
Answer:
centre = (- 1, - 3 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 2x + 6y = 26 ( collect x and y terms )
x² + 2x + y² + 6y = 26
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9
(x + 1)² + (y + 3)² = 36 ← in standard form
with centre = (- 1, - 3 ) and r = 
= 6
Based on the central angle theorem, the measure of angle AEB is: 140°.
<h3>What is the Central Angle Theorem?</h3>
According to the central angle theorem, the measure of an intercepted arc = measure of the central angle.
Arc AB = 140° [intercepted arc]
Angle AEB is the central angle.
Thus, based on the central angle theorem, the measure of angle AEB is: 140°.
Learn more about the central angle theorem on:
brainly.com/question/5436956
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Answer:
Any number below 1 2/7
1 3/7< 1
Step-by-step explanation:
6x6=36ft both sides are 6 since it’s a square, area is width x length
