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elena-s [515]
3 years ago
8

Select the possible dimensions of a rectangular prism with volume of 48 in.

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

6 in * 4 in * 2 in

Step-by-step explanation:

Given the following data;

Volume of rectangular prism = 48 in³

To find its possible dimensions;

Volume of rectangular prism = length * breadth * height

48 = length * breadth * height

From the given options, option B is most likely to be its dimensions.

Where;

Length = 6 in

Breadth = 4 in

Height = 2 in

Substituting into the formula, we have;

48 in = 6 * 4 * 2

48 in = 48 in

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Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

3 0
2 years ago
2/3 is less than 4/5 true or false
mojhsa [17]

Answer: False

Step-by-step explanation:

When comparing fractions such as 2/3 and 4/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

6 0
3 years ago
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Solve the inequality for x. Show each step of the solution.10x > 2(8x – 3) – 18
Luden [163]

Answer: x<4

Given the inequality:

10x>2(8x-3)-18

We want to solve the inequality for x.

First, distribute the bracket on the right side of the inequality.

\begin{gathered} 10x>2(8x)-2(3)-18 \\ 10x>16x-6-18 \\ 10x>16x-24 \end{gathered}

Next, subtract 10x from both sides of the inequality.

\begin{gathered} 10x-10x>16x-10x-24 \\ 0>6x-24 \end{gathered}

Add 24 to both sides of the inequality.

\begin{gathered} 0+24>6x-24+24 \\ 24>6x \end{gathered}

Divide both sides of the inequality by 6.

\begin{gathered} \frac{24}{6}>\frac{6x}{6} \\ 4>x \\ \implies x

The solution to the inequality is x<4.

6 0
1 year ago
6x+5y+2z=41<br> 4x-10z=-10<br> -x-2y+2z=-1
ikadub [295]
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3 years ago
Help me please , ps have a good day :))
serg [7]

Answer:

the second one (Diego)

Step-by-step explanation:

7a-3a

5b+4b

8 0
3 years ago
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