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Savatey [412]
3 years ago
7

The point p (3,4) is the midpoint of the join of A (7,8) and B find tge coordinates of B

Mathematics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

B(-1, 0)

Step-by-step explanation:

coordinates of midpoint p(x,y) are calculated as

x= \frac{x_1+x_2}{2}  ---------- (1)

y= \frac{y_1+ y_2}{2}  -----------(2)

Here (x_1, y_1) = (7, 8) and (x_2, y_2) \ is \ unkwon

<u>Using equation (1)</u>

<u />3=\frac{7+x_2}{2} \\x_2=-1<u />

<u>Using equation (2)</u>

<u />4=\frac{8+y_2}{2} \\y_2=0<u />

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Answer:

Δ BEC ≅ Δ AED

Step-by-step explanation:

Consider triangles BCA and ADB. Each of them share a common side, AB. Respectively each we should be able to tell that AD is congruent to BC, and DB is congruent to CA, so by SSS the triangles should be congruent.

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So another possibility is triangles BEC, and AED. As you can see, by the Vertical Angles Theorem m∠BEC = m∠ADE, resulting in the congruency of an angle, rather a side. As mentioned before AD is congruent to BC, and perhaps another side is congruent to another in the same triangle. It should be then, by SSA that the triangles are congruent - but that is not an option. SSA does is one of the exceptions, a rule that is not permitted to make the triangles congruent. Therefore, it is highly unlikely that triangles BEC and AED are congruent, but that is what our solution, comparative to the rest.

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Which of the following sets of ordered pairs is a functionB
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Given: ABCD parallelogram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Troyanec [42]

Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

Hence, using the trigonometric ratios,

Cos A = adjacent/hypotenuse

Cos A = 3/6

Cos A = 0.5

Checking with the calculator, (that is second function of Cos 0.5)

A = 60

The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

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Angle B = 240/2

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and angle D = 120

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Step-by-step explanation:

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2 years ago
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