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
1 answer:
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>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
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<span>Add -4 to both sides to isolate the variable.
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Simplify.
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Divide both sides by 2 to isolate the variable on one side.
Hope this helps.
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Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m = 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m + m
m + m
= 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
