Which angles are alternate interior angles?

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer:

Angles RSQ and WVX are alternate interior angles.

Hope this helps!

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Which expression has a value of 24?

seraphim [82]

Answer:D

Step-by-step explanation: Use order of operations. Hope this helps!

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME!

Ghella [55]

Answer:

A) 84 cubes

B) Volume = 4 x 3 x 7 = 84 small cubes

$\sf Volume=3 \frac{1}{9}\:\:ft^3$

Step-by-step explanation:

As the lengths of each side of the small cube are ¹/₃ ft each, to find the number cubes in the rectangular prism, first find how many thirds are in each dimension of the prism:

$\sf Length=1 \frac{1}{3}\:ft=\dfrac{4}{3}\:ft=4\:thirds$

$\sf Width=1 \:ft=\dfrac{3}{3}\:ft=3\:thirds$

$\sf height=2 \frac{1}{3}\:ft=\dfrac{7}{3}\:ft=7\:thirds$

Now simply multiply the number of thirds:

Number of cubes in prism = 4 x 3 x 7 = 84

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As we have already found the dimensions of the prism in terms of the number of cubes, the volume of the prism in terms of the small cube is:

⇒ Volume = 4 x 3 x 7 = 84 small cubes

To find the volume of the prism in ft³, calculate the actual volume of the small cube:

$\textsf{Volume of small cube}=\sf \dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3}=\dfrac{1}{27}\:ft^3$

Now multiply the volume in terms of number of cubes by the actual volume of a cube:

$\begin{aligned}\textsf{Volume} &= \sf \textsf{Volume in cubes} \times \textsf{Volume of cube in ft}^3\\\\& = \sf 84 \times \dfrac{1}{27}\:ft^3\\\\& =\sf \dfrac{84}{27}\:ft^3\\\\& =\sf 3\frac{1}{9}\:ft^3\end{aligned}$