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2 years ago

ABCD is a parallelogram. Determine the length of AD.

Mathematics

2 answers:

Charra [1.4K]2 years ago

7 0

Answer:

Step-by-step explanation:

→ Equate both sides of the parallelogram as they are equal

2x = x + 5

→ Solve

x = 5

→ Resubstitute for the length AD

5 + 5 = 10

ale4655 [162]2 years ago

3 0

Answer:

D) 10 units

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.

<h3>setup</h3>

The relation between opposite sides tells you ...

BC = AD

2x = x +5

<h3>solution</h3>

x = 5 . . . . . . . subtract x from both sides of the equation

We want the length of AD, which is ...

AD = x +5 = 5 +5

AD = 10

_____

<em>Additional comment</em>

Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an <em>intermediate step</em>. The value of x is needed in order to be able to answer the question about <em>the value of an expression involving x</em>.

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Step-by-step explanation:

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