Answers:
- Part A) There is one pair of parallel sides
- Part B) (-3, -5/2) and (-1/2, 5/2)
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Explanation:
Part A
By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.
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Part B
The midsegment has both endpoints as the midpoints of the non-parallel sides.
The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.
x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3
y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2
The midpoint of segment PS is (-3, -5/2)
Repeat those steps to find the midpoint of QR
x coord = (x1+x2)/2 = (-2+1)/2 = -1/2
y coord = (x1+x2)/2 = (3+2)/2 = 5/2
The midpoint of QR is (-1/2, 5/2)
Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.
Answer:
A. $2,000
Step-by-step explanation:
Let x represent Caitlin's monthly income and y represent Tim's monthly income.
We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.
We can represent this information in an equation as:
Therefore, Caitlin's monthly income would be $3000.
We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.
This means that 6% of x plus y is equal to 300.
Therefore, Tim's monthly income is $2,000 and option A is the correct choice.
Answer:
false contradiction
Step-by-step explanation:
The '⊥' symbol stand for false contradiction. The up tack or falsum ('⊥') is a constant symbol used to represent: The bottom element in lattice theory. ... A logical constant denoting "false" in logic.
Answer:
78, 1275
Step-by-step explanation:
a) 12th= 78
b) 50th=1275
Answer:
ghytmujtjy46hgqmwneymymwrj25rhq
