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suselygonza
20.07.2019 •
Mathematics
Quadrilateral abcd is a parallelogram. de = 6.1 cm and m∠dab = 120°. what is bc? cm what is m∠bcd? ° what is ab? cm what is eb? cm
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Ответ:
The measure of BE is 4.33 cm
The measure of AB is 5 cm
For a parallelogram, the measure of its opposite sides are equal, hence;
AB = CD and
AD = BC
Similarly, the measure of the adjacent angles is supplementary;
m,C + m<D = 180
From the given diagram, m<BCD = 120 degrees
From the given diagram, we can see that CD = 5cm and since AB = CD, hence the measure of AB is 5cm
To get the measure of BE, we will use the sine rule on triangle BCD
BD/sin 120 = CD/sin 30
BD/sin120 = 2(5)
BD = 10sin120
BD = 8.660
From the diagram, BD = 2BE
BE = BD/2
BE = 8.66/2
BE = 4.33
Hence the measure of BE is 4.33 cm
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Ответ:
There are six important properties of parallelograms to know:
1) Opposite sides are congruent (AB = DC and AD=BC).2) Opposite angles are congruent (D = B and A=C)
3) Consecutive angles are supplementary (A + D = 180° and D+C= 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
6) Each diagonal of a parallelogram separates it into two congruent triangles.
Part 1) What is BC?
BC=AD> BC=10 cm> by Opposite sides are congruent
the answer Part 1) is
BC=10 cm
Part 2) What is m∠BCD?
m∠BCD=m∠DAB> m∠BCD=120°> by Opposite angles are congruent
the answer part 2) is
m∠BCD=120°
part 3) What is AB?
AB=CD> AB=5 cm> by Opposite sides are congruent
the answer Part 3) is
AB=5 cm
Part 4) What is EB?
EB=DE> EB=6.1 cm> by The diagonals of a parallelogram bisect each other.
the answer Part 4) is
EB=6.1 cm
Ответ:
0.01851851851 the answer not rounded
0.019 the answer rounded to the nearest thousandths
0.02 the answer rounded to the neared hundredths
I hope this is what you wanted: