Mathematics Middle School

In the rectangular prism below, the length of MR is 9 feet, the length of RS is 12 feet, and the length of ST is 5 feet. What is the length of the line segment drawn from point T to point M?
*Note: Figure not drawn to scale.
a
16 feet

b
5√10 feet

c
250 feet

d
5√5 feet

In The Rectangular Prism Below, The Length Of MR Is 9 Feet, The Length Of RS Is 12 Feet, And The Length

Answers

Answer 1

Answer:

[tex]5\sqrt{10}[/tex] feet

Step-by-step explanation:

Find RT:

RS = 12 and ST= 5, RT =?

Use the Pythagorean Theorem

[tex]12^{2} + 5^{2} = RT^{2}[/tex]

[tex]144 + 25 = RT^{2}[/tex]

[tex]\sqrt{169} =RT[/tex]

13 = RT

Find MT:

RT = 13 and MR= 9, MT=?

[tex]13^{2} +9^{2}= MT^{2}[/tex]

[tex]169 + 81 = MT^{2}[/tex]

[tex]\sqrt{250} = MT[/tex]

[tex]5\sqrt{10}[/tex] = MT

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/20char

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Answers

Answer:

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Step-by-step explanation:

This question asks for the theoretical probability

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Explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer: the answers are x = -292.5 and y = -122

Step-by-step explanation:

Elimination is combining equations to obtain an equation with just one variable. This is only possible if the coefficients of one variable in both equations are opposed and will cancel each other out when put together. Elimination is most effective when it occurs naturally in the equations, but equations may also be modified to produce typical coefficients by multiplying or dividing equations by a given value. The next step would be to utilize the equation we devised to determine the variable's worth and then insert that value back into the original equation to determine the remaining variable.

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Step-by-step explanation:

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Answers

I think it's 56y + 7, is what I'm pretty sure of.

Answer:

Simplifying

7 = 56y

Solving

7 = 56y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-56y' to each side of the equation.

7 + -56y = 56y + -56y

Combine like terms: 56y + -56y = 0

7 + -56y = 0

Add '-7' to each side of the equation.

7 + -7 + -56y = 0 + -7

Combine like terms: 7 + -7 = 0

0 + -56y = 0 + -7

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Answers

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