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.
4.5
pi is about 3.14 and root 23 is about 4.8 - the only number between these values is 4.5
Answer:
x = 30
y = 2
Step-by-step explanation:
Please note: the value for x is correct only if this triangle is a right triangle.
This can be solved because 2(5y) = 20 and because if a triangle has all congruent angles then its side lengths are also congruent.
<span>Volume = 4/3*pi*r^3
As diameter = 6 inches
Radius = Diameter / 2
Radius = 6/ 2
Radius = 3 inches
Putting the value of r in the formula :
=4/3*pi*3^3
</span><span> =4/3*pi*27
</span>= 36*pi
So according to above explanation,
<span>B) V = 36 π cubic inches , is the correct answer.</span>
Answer:
FALSE
Step-by-step explanation:
and 
are not equal.
If we assign numbers to both variables, for example x=1 and y = 2, we get:
. This shows that .5 is not equal to 2, therefore a fraction of something (x) is not always equal to a fraction of another something.
