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11111nata11111 [884]
3 years ago
5

Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parall

elograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.
Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

<u>A) The parallelograms all have congruent sides and angles. </u>

Step-by-step explanation:

<em>Remember,</em> a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.

In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.

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Answer:

(A)The height of each pyramid is One-half h units.

Step-by-step explanation:

Height of the Cube = h units

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If Base of the cube =Base of the square pyramid

Base of the square pyramid = h units

\text{Volume of a Pyramid}=\dfrac{1}{3}*Base Area*Height

\text{Volume of One Pyramid}=\dfrac{1}{3}*h^2*Height

\text{Volume of Six Pyramids}=6*\dfrac{1}{3}*h^2*Height\\=(2h^2*Height)\:cubic\:units

Since Volume of the Cube = Volume of Six Square Pyramids

Then:

2h^2*Height=h^3\\Height=\dfrac{h^3}{2h^2} \\$Height of each pyramid =\dfrac{1}{2}h \:Units

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3 years ago
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m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

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m<N, m<L, m<M

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D.

Step-by-step explanation:

If you would rotate RN until R meets L it would exactly overlap with FL. So RN=FL.

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