The mid point of the given Coordinates U= (-5,1) and point V = (7,9):
= ( -6 , 5).
Midpoint of a Line Segment:
A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and X₂, Y₂ is calculated using:
<h3>According to the given data:</h3>
Point U has Coordinates (-5,1).
point V has coordinates (7,9).
Find coordinates of the midpoint of UV = ?
We know that to find Midpoint of a Line Segment:
= 
Where U
X₁ = -5
Y₁ = 1
Whare V
X₂ = 7
Y₂ = 9
Putting the value in the formula:
UV =
= (-5 + 7)/2 , (1 + 9)/2
= -6 , 5
The mid point of the given Coordinates U= (-5,1) and point V = (7,9):
= ( -6 , 5).
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Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
Answer:
Mean = 
= 52. 42
Step-by-step explanation:
Unusual notation. I won't fuss with it.
a. We have isosceles PRT, so angle RPT = angle RTP.
By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.
We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP
Similarly, m angle RPT = 2 m angle MPT
2 m angle MTP = 2 m angle MPT
angle MPT = angle MPT
That's the first part.
b. That makes MPT isosceles.
c. 2x+124=180
2x = 56
x = 28 degrees
MTP = 28 degrees
d. We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees
PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees
Bad drawing, PUT looks acute.
angle PRT = 68 degrees, angle PUT = 96 degrees
