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3 years ago

Given: Quadrilateral DEFG is a parallelogram.

Mathematics

1 answer:

levacccp [35]3 years ago

8 0

Answer:

The correct option is A.

Step-by-step explanation:

It is given that DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

∠HGD ≅ ∠HEF (Alternate Interior angle)

∠HDG ≅ ∠HFE (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF (Opposite sides of parallelogram)

According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH (CPCTC)

DH ≅ FH (CPCTC)

Option A is correct.

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Answer:

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Step-by-step explanation:

Given:

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- Profit loss per tube Loss = 5 cents

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Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

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P ( X > 7 oz ) = P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

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The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

T.Loss = Loss*(number of tubes with X > 7)

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