What is the volume of a rectangular prism?

Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

Answer:

multiply: Length x Width x Height

Step-by-step explanation:

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Which of the pairs of angles are vertical angles and thus congruent? ∠A and ∠G ∠A and ∠B ∠C and ∠F ∠D and ∠H

r-ruslan [8.4K]

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

5 0

3 years ago

Read 2 more answers

How do I solve for x?

notka56 [123]

Solving:
$\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}$
Make the Least Common Multiple (2,3,6)
$2,3,6\:|2$
$1,3,3\:|3$
$1,1,1\:|\underline{2*3=6}$

<span>Replace denominators and resolve:
</span> $\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}$
$\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}$
Cancel the dominators
$\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}$
$3(3+4x) + 2(5-x) = 29$
$9 + 12x + 10 - 2x = 29$
$12x - 2x = 29 - 9 - 10$
$10x = 20 - 10$
$10x = 10$
$x = \frac{10}{10}$
$\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark$

7 0

3 years ago

Find the equivalent expression 9 ( 2a + 1

aivan3 [116]

Answer:

Equivalent expression of $9(2a+1)$ is, $18a+9$