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3 years ago

Use the following diagram and information to answer the question.

Mathematics

1 answer:

Reika [66]3 years ago

8 0

Answer:

b) Julie can use properties of congruent triangles to show that AB≅BC and BC≅CD. Then she can show BC≅AD because opposite sides of a parallelogram are congruent

Step-by-step explanation:

On the assumption that Julie must show all four sides to be congruent, the one remaining step after using the properties of congruent triangles is to show that side AD is congruent to the rest of the sides. Answer choice B describes that.

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IMO, Julie is finished after she shows∠A≅∠B and AB≅BC, because a parallelogram will be a square if adjacent sides are congruent (makes it a rhombus) and adjacent angles are congruent (makes it a rectangle). A rhombus that is a rectangle is a square.

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3 years ago

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3 years ago

Solve the equation<br><br> 1.6=7.6-5(k+1.1)

zepelin [54]

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3 years ago

What is the relationship between the ratios? 16/72 and 8/32 Drag and drop to complete the statement. The ratios are . proportion

Yuki888 [10]

These ratios are not proportional.

Explanation:

If the ratio 8:32 were simplified, it would equal 1:4 because they can both be divided by 8. But since 16 x 4 does not equal 72, they cannot be divided by 4 to make a simplified ratio such as the first example.

Hope I helped, and good luck!

5 0

3 years ago

Read 2 more answers

Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.

Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.

Base Area = Length * Breadth

Base Area = AB * BC

Base Area = 8*4 = 32

If $\overline{PA}\perp \overline{AD}\ and \ \overline{PA}\perp \overline{AB}$ , and PB = 17, then the height of the pyramid is PB = 17.

Volume of the pyramid = 1/3 * 32 * 17

Volume of the pyramid = 1/3 * 544

Volume of the rectangular based pyramid = 181.33

8 0

3 years ago