A simplified model of a particular monument is a rectangular pyramid placed on top of a rectangular prism, as shown. The volume of the monument is 66 cubic feet. Determine whether the given measurement could be the height of the monument.

Select Yes or No for A-C.

A. 10 feet

Yes No

B. 13 feet

Yes No

C. 15 feet

Yes No

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?

What is the value of 4x to the third +4x if x is 4

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