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1 year ago

Letters a, b, c, and d are angle measures.

Mathematics

2 answers:

DerKrebs [107]1 year ago

7 0

D
b equals to 75 because they are diagonal, and the one diagonal to a equals 105 so that a and b form a line.
In order to prove f||g, we need to prove c=b, so c equals 75, d equals 105

AlexFokin [52]1 year ago

7 0

D would be the correct answer

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Yakvenalex [24]

Answer:

A) 30 cubes.

B) 30 units³.

Step-by-step explanation:

A) 1. Calculate the volume of the rectangular prism, as following:

$Vr=(lenght)(width)(height)$

2. You have that:

- The length is: $1^{\frac{1}{2}}ft=1.5ft$

- The width is: $1ft$

- The heigth is: $2^{\frac{1}{2}}ft=2.5ft$

3. Substitute these values into the formula:

$Vr=(1.5ft)(1ft)(2.5ft)=3.75ft^{3}$

4. The volume of one cube is:

$Vc=side^{3}$

5. The length of one side is: $\frac{1}{2}ft=0.5ft$

6. Substitute this value into the formula:

$Vc=(0.5ft)^{3}=0.125ft^{3}$

7. The number of small cubes that can be packed in the rectangular prism is:

$cubes=\frac{Vr}{Vc}\\cubes=\frac{3.75ft^{3}}{0.125ft^{3}}\\cubes=30$

B) 1. The length, the width and the height of the rectangular prism in term of units cubes is:

$Length=\frac{1.5ft}{0.5ft}=3units$

$Width=\frac{1ft}{0.5ft}=2units$

$Heigth=\frac{2.5ft}{0.5ft}=5units$

2. Therefore, the volume of the rectagular prism in terms of the small cube and a unit cube is:

$Vr=(3units)(2units)(5units)=30units^{3}$

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bearhunter [10]

Answer:

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Step-by-step explanation:

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The answer would be 3/2 cup of water

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BabaBlast [244]

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3 years ago

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