Point G cannot be a centroid because GE is wider that JG or JG is shorter than GE. So in this diagram GE is wider than JG with 10 cm and 5 cm respectively based on this information Point G cannot be a centroid of triangle HJK. So the answer is point G cannot be a centroid because JG is shorter than GE.
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Answer:
b=
−3
/x
Step-by-step explanation:
Step 1: Add -10 to both sides.
−2bx+10+−10=16+−10
−2bx=6
Step 2: Divide both sides by -2x.
−2bx
−2x
=
6
−2x
b=
−3
/x
Let us assume the two numbers to be "x" and "y".
Then
xy = - 24
x = - (24/y)
And
x + y = 2
Putting the value of x from the first equation in the second equation, we get
x + y = 2
- (24/y) + y = 2
- 24 + y^2 = 2y
y^2 - 2y - 24 = 0
y^2 - 6y + 4y - 24 = 0
y(y - 6) + 4(y - 6) = 0
(y - 6) (y + 4) = 0
When
y - 6 = 0
y = 6
Then
x + y = 2
x + 6 = 2
x = 2 - 6
= -4
And when
y + 4 = 0
y = -4
Then
x + y = 2
x - 4 = 2
x = 2 + 4
= 6
So the two unknown numbers are -4 and 6.
Given:
The figure of a circle.
The measure of arc SR = 75 degrees.
Measure of angle RSQ = 95 degrees.
To find:
The measure of SQ.
Solution:
Let us consider, O be the center of the circle.
According to the central angle theorem, the measure central angle on an arc is twice of inscribed angle on the corresponding angle.
Using the central angle theorem, we get
It is the central angle on major arc QR.
We know that the measure of complete central angle is 360 degrees.
The central angle on minor arc QR is:
It means the measure of arc RSQ is 170 degrees.
Therefore, the measure of arc SQ is 95 degrees.
