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Phantasy [73]
3 years ago
15

The dimensions of a right rectangular prism are shown below.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

216

Step-by-step explanation:

Im taking the topic assessment rn

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Help asap please, explain why too!
emmainna [20.7K]

Answer:

Yes triangle ABC and DEF are similar.

Step-by-step explanation:

One rule of triangles is that all the angles in a triangle will add up to 180 degrees.

Now, first, you will figure out the remaining angle in triangle ABC.

  1. Add up 35 and 20. (35 + 20 =55)
  2. Subtract 55 from 180 (180-55= 125)
  3. When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.

Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.

  1. 125 + 35 = 160
  2. 180-160= 20

The remaining angle is 20 degrees

As you can see, triangle ABC shares the same angles as triangle DEF.

This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.

You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity

I hope this explanation helped and have a good day!

8 0
3 years ago
20 points! Will mark the brainliest!
andrew-mc [135]
\dfrac{ \dfrac{x+3}{4x^2-16} }{ \dfrac{2x^2+10x+12}{2x-4} }

-----------------------------------------------------------------------------------
Write the divide fraction horizontally:
-----------------------------------------------------------------------------------

= \dfrac{x+3}{4x^2-16} \div \dfrac{2x^2+10x+12}{2x-4}

-----------------------------------------------------------------------------------
Factorise the numerators and denominators when possible:
-----------------------------------------------------------------------------------

= \dfrac{x+3}{4(x+2)(x-2)} \div \dfrac{ 2(x + 3) (x + 2)}{2(x-2)}

-----------------------------------------------------------------------------------
Convert the divide fraction to multiplication fraction
-----------------------------------------------------------------------------------

= \dfrac{x+3}{4(x+2)(x-2)} \times \dfrac{2(x-2)}{2(x+3)(x+2)}

-----------------------------------------------------------------------------------
Cancel the factors
-----------------------------------------------------------------------------------
= \dfrac{1}{4(x+2)} \times \dfrac{1}{(x+2)}

-----------------------------------------------------------------------------------
Combine to single fraction
-----------------------------------------------------------------------------------

= \dfrac{1}{4(x+2)^2}



4 0
3 years ago
How do u insult someone who has been all but nice to you and you really wanna be their friend?
Makovka662 [10]

Answer: you don't insult someone when they are being nice to you i i cant even do that c:

Step-by-step explanation:

4 0
3 years ago
The amount of bacteria in a fish tank was 830. After 5 hours, the amount of bacteria is 3202.
alina1380 [7]

Answer: 37.92

Step-by-step explanation: We know that 3202 / 5 = 640.4.

We subtract that by 830 to get (830 - 640.4  =) 189.6. Then we do / by five again to get 37.92. That is the answer.

3 0
2 years ago
Find the missing side, please
AVprozaik [17]

Answer:

a. √442, b. √540, c. 8

Step-by-step explanation:

remember that a^2 + b^2 = c^2

4 0
3 years ago
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