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natta225 [31]
3 years ago
7

If ABCD is a parallelogram, BC =3m + 10, and AD = 7m – 2, find the value of ‘m’. *

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

The value of m is 3

Step-by-step explanation:

We are given that ABCD is a parallelogram

Property of parallelogram : Opposite sides of parallelogram is equal

So, AB = CD and BC = AD

We are given that

BC =3m + 10

AD = 7m – 2

So, Using Property

BC=AD

3m+10=7m-2

12=4m

\frac{12}{4}=m

3=m

Hence The value of m is 3

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Even though the elimination method is easy I still have trouble with it
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Answer:

(1,2)

Step-by-step explanation:

x+4y = 9

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Add the equations together

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x=1

Now find y

x+4y = 9

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3 years ago
A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.
melisa1 [442]
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus

First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°. 

Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.

For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.

\overline{OB}:\overline{AB} = 1:2
\overline {OB}:10 = 1:2
\overline{OB} = \frac{1}{2}(10) = 5

Similarly, we have

\overline{AO}:\overline{AB} = \sqrt{3}:2
\overline {AO}:10 = \sqrt{3}:2
\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}

Now, to find the lengths of the diagonals, 

\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}
\overline{BC} = 2(\overline{OB}) = 10

So, the lengths of the diagonals are 10 and 10√3.

Answer: 10 and 10√3 units

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

C. Home inventory

Step-by-step explanation:

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2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
Grace [21]
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
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Cross multiply:
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3 years ago
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