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Ira Lisetskai [31]
3 years ago
14

The diagonals of a quadrilateral QRST intersect at P(2,3). QRST has vertices at Q(3,6) and R(-3,5). What must be the coordinates

of S and T to ensure that QRST is a parallelogram?
Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

S (1 , 0)

T (7 , 1)

Step-by-step explanation:

If QRST is a parallelogram, P is the mid point of segment QS and segment RT.

Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)

T (x₁ , y₁)    S (x₂ , y₂)   P (2 , 3)    Q (3 , 6)   R (-3 , 5)

2 = (x₁ + (-3))/2         x₁ = 7

3 = (y₁ + 5)/2            y₁ = 1

T (7 , 1)

2 = (x₂ + 3))/2         x₂ = 1

3 = (y₂ + 6)/2           y₂ = 0

S (1 , 0)

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<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
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3 years ago
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
AURORKA [14]

Answer:

<h2><u>26°</u></h2>

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

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3 years ago
What is the value of x? (60 POINTS BRANLIEST IF RIGHT)
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:)

8 0
3 years ago
Read 2 more answers
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