Answer:
According to Angle Bisector Theorem, if Ray YZ is an angle bisector, then MZ and NZ are congruent.
EH= 23. It is shown that ray FH bisects EFG, EF and EH are perpendicular, FG and HG are perpendicular. Then EH and GH are congruent. Therefore since GH= 23, then EH= 23
Answer:
Step-by-step explanation:
x is the center of the circle.
the chord of length 12 can be splitted into two parts of 6 length each.
since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.
The explanation is given in the picture
Answer:
y = 2x - 13
Step-by-step explanation:
Equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is
y = 2x - 13
Answer:
y-intercept=-5
Step-by-step explanation:
y=mx+b m/slope=3/2 the point is (x,y)/(4,1)
1=3/2(4)+b
1=12/2+b
1=6+b
-6-6
-5=b
