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fenix001 [56]
1 year ago
13

ABCD is a parallelogram. If AB = 3x and CD = x+10, find AB

Mathematics
1 answer:
Readme [11.4K]1 year ago
7 0

A parallelogram by definition is a four-sided figure with opposite sides that are parallel.

If that's the case, the length of opposite sides should be the same as well, meaning that:

AB=CD

then,

\begin{gathered} 3x=x+10 \\ \text{solve for x} \\ 3x-x=10 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}

find AB

\begin{gathered} AB=3x \\ AB=3\cdot5 \\ AB=15 \end{gathered}

A

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In the rectangle below,
STALIN [3.7K]

Answer:

Step-by-step explanation:

In a rectangle,  diagonals are equal and bisect each other

BE  =   AE

6x - 5 = 2x +  7

6x - 2x - 5 = 7

       4x - 5 = 7

             4x = 7 + 5

             4x = 12

               x = 12/4

               x = 3

AE = 2x + 7

     = 2*3 + 7

    = 6 + 7

AE =  13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

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          m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE   { alternate interior angles}

m∠ECD = 40

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3 years ago
(trigonometry) write the tangent ratios for angle P and angle Q. if needed reduce fractions
nevsk [136]

Answer:

Step-by-step explanation:

tan P = \frac{16}{12} = \frac{4}{3}

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7 0
3 years ago
How do I find this help please
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Answer:

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Step-by-step explanation:

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To run the these figures to 3 decimal places

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3 0
3 years ago
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