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2 years ago

In the parallelogram below, AB=2x+8 and CD=5x-1. What is the length of AB?

Mathematics

2 answers:

pshichka [43]2 years ago

7 0

Answer:

AB = CD

BC = DA

Step-by-step explanation:

Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.

sp2606 [1]2 years ago

4 0

Answer:

AB = 14

Step-by-step explanation:

Lines AB and CD are opposite each other and as the shape is a parallelogram, they are of equal length:

AB = CD

2x + 8 = 5x - 1

Add 1 to both sides to isolate the 5x:

2x + 8 + 1 = 5x - 1 + 1

2x + 9 = 5x

Subtract 2x from both sides to isolate the 9:

2x + 9 - 2x = 5x - 2x

9 = 3x

Divide both sides by 3:

9 ÷ 3 = 3x ÷ 3

x = 3

As AB = 2x + 8, plug the known variable x in:

2x + 8

2(3) + 8

6 + 8

= 14

Hope this helps!

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2 years ago

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nataly862011 [7]

Answer:

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Step-by-step explanation:

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Rus_ich [418]

It takes 3 years for the balance of account to be $ 221

Solution:

From given information,

Principal = $ 200

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To find: number of years

In simple Interest,

Simple interest = amount earned - principal

Simple interest = 221 - 200 = 21

Thus simple interest earned is $ 21

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$simple\ interest = \frac{ p \times n \times r}{100}$

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r is the rate of interest per annum

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