Point X is the incenter of ΔABC.
1 answer:
The measures of GX = 13
The measures of
EX = 4z + 1 and XF = 2z + 7
Take EX and XF equal time each other and then solve for z and then you will get GX because EX = XF = GX are congruent.
EX = XF
<h3>What is congruent?</h3>
Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
4z + 1 = 2z + 7
2z = 6
z = 3
As, EX = XF = GX
EX = 4(3) + 1
EX = 13
Therefore, GX = 13 ------ ( EX = XF = GX )
To find the angle ABX, divide the angle ABC by 2 you will get
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The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
<h3>What is linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equation of the line:
y = -x -3 and
5y + 5x = -15
From the equation 5y + 5x = -15:
Divide by 5 on the above equation:
y + x = -3
or
y = -x -3
The two equations y = -x -3 represents the same line.
Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
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