Answer:
x = 13, y = 7
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
x - 7 = 6 ( add 7 to both sides )
x = 13
and
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
Answer:
what?
Step-by-step explanation:
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Answer:
= and
and 
Step-by-step explanation:
Absolute value -9 is 9, but there is a negative sign so it is -9
-9=-9
Greater than or equal to works because of the equal sign.
Less than or equal to also works because of the equal sign.
Answer:
Yes; Opposite sides are congruent, and diagonals are congruent.
Step-by-step explanation:
we have

we know that
the formula to calculate the distance between two points is equal to
step 1
Find the length of the sides
<u><em>Find the distance AB</em></u>
substitute the values
<u><em>Find the distance BC</em></u>
substitute the values
<u><em>Find the distance CD</em></u>
substitute the values
<u><em>Find the distance AD</em></u>
substitute the values
Compare the length sides
AB=CD
BC=AD
therefore
Opposite sides are congruent
step 2
Find the length of the diagonals
<u><em>Find the distance AC</em></u>
substitute the values

<u><em>Find the distance BD</em></u>
substitute the values

Compare the length of the diagonals
AC=BD
therefore
Diagonals are congruent
The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent