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Kipish [7]
4 years ago
7

Someone help me with finding the similarity statement and ratios of the side lengths cuz idk if it’s similar

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
5 0

When triangles are similar, ratios of corresponding side lengths are the same. The side lengths you know are CD, DU, VW, WU. (You also know CU, but you do not know the corresponding length VU.)

The ratios can be formed in any convenient way, but it is already clear that the triangles are not similar. CD = 73 is a prime number, and neither DU nor VW is a multiple of that. For example, ...

... CD/VW = 73/84 ≠ 48/55 = DU/WU

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The volume of a rectangular prism is 6x3 + 25x2 + 21x − 10. The length of the prism is 2x + 5. The width of the prism is 3x − 1.
aev [14]

Expression for the height of the prism is x + 2

<em><u>Solution:</u></em>

Given that,

Volume\ of\ a\ rectangular\ prism = 6x^3+25x^2 + 21x - 10

Length\ of\ prism = 2x + 5

Width\ of\ prism = 3x-1

To find: height of prism

<em><u>The volume of rectangular prism is given by formula:</u></em>

Volume = length \times width \times height

<em><u>Solving for height we get,</u></em>

height = \frac{volume}{length \times width}

<em><u>Substituting the values we get,</u></em>

height = \frac{6x^3+25x^2+21x-10}{(2x+5)(3x-1)}

<em><u>Factor the numerator</u></em>

height = \frac{(x+2)(3x-1)(2x+5)}{(2x+5)(3x-1)}

Cancel the common factors,

height = x + 2

Thus expression for the height of the prism is x + 2

5 0
3 years ago
brian’s gas tank is 1/2 full. after he buys 9 gallons of gas, it is 5/6 full. how many gallons can brian’s tank hold?
Mariulka [41]

Answer:

his tank can hold 24 gallons

Step-by-step explanation:

5/6 - 1/2 = 2/6 2/6 of tank = 8 gallons So, tank can hold 24 gallons.

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2 years ago
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Answer:

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Step-by-step explanation:

-3ac7

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2 years ago
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No, when you plug is -5 for x and -1 for why, it ends up being -9 not -11. (-5,-1) is not a solution.
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3 years ago
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