Answer: The midpoint of segment PQ is the number 2.5
note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2
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Explanation:
Apply the midpoint formula to get the midpoint of -8 and 6
We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1
So point Q is at -1 on the number line, which is exactly halfway from R to P
Focus on just points P and Q now. Apply the midpoint formula again
Q = -1
P = 6
(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5
So the midpoint of segment PQ is 2.5
The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.
Answer:
PST=80
Step-by-step explanation:
So we know that angle R=130 and because this is a parallelogram we can assume angle SPQ also equals 130 and knowing that we can find that angle RQP and RSP are equal both equal to 50 and since we know that RSP=50 we know SPT is also 50 because of alternate angles. SPT is an equilateral triangle so we also know that angle T is 50 degrees. All triangles degrees equal 180 so we can set up the problem the angle SPT(50) + the angle STP(50) + The angle PST(x) = 180 50+50=100 so it is 100+x=180 -100 PST(x)=80
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where m is the slope of the line and b is the y intercept (value of y when x = 0).
Given the equation of two lines as 
, the two lines are parallel to each other if 
. Also the lines are perpendicular if
Given line BC:
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 4
Hence the slope of the line BC = -3/2
For line AD:
-3x - 2y = 6
-2y =3x + 6
y = -3x/2 - 3
Hence the slope of line AD is -3/2
Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other
