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Doss [256]
3 years ago
14

What is the value of x in the figure below? In this diagram, ABC~CAD.

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0

Answer:

(B) x=\sqrt{30}

Step-by-step explanation:

It is given that triangle ABC is similar to triangle CAD, therefore by using the basic proportionality theorem, we get

\frac{AD}{CD}=\frac{DB}{AD}

⇒\frac{x}{10}=\frac{3}{x}

⇒x^{2}=30

Taking square root on both the sides, we get

x=\sqrt{30}

Thus, the value of x is \sqrt{30}.

Slav-nsk [51]3 years ago
4 0
I hope this helps you

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KiRa [710]

Answer:  I think its B or C bc if you subtract them on the 180 you will get the same answer and by just adding them back again.

Step-by-step explanation:

8 0
3 years ago
A rectangular prism and a triangular prism each have a volume of 210 cubic meters. find possible dimensions for each prism.
Evgesh-ka [11]
An interesting question! Let's take a look at the rectangular prism first.

[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height

or more simply
V = L*W*H

All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H

I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H

Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3

It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.

[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H

But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H

So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it? 
210 = 1/2*(20)*W*H

And we can leave W and H the same
210 = 1/2*20*7*3

Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.

We're done!

5 0
3 years ago
Solve:<br> r/5 - 6 = -1<br><br> A) r = 1 <br> B) r = 5 <br> C) r = 10 <br> D) r = 25
nadezda [96]

r/5 - 6 = -1

add 6 to both sides

r/5 = 5

multiply both sides by 5

r = 5 *5 = 25

r = 25

3 0
3 years ago
Read 2 more answers
if one m&amp;m is randomly selected from a dish containing 7 green, 4 red, 5 blue and 8 yellow m&amp;ms, find the probability th
Bad White [126]

Answer:

1/6 = 16.67%

Step-by-step explanation:

There are a total of 24 m&ms. The probability of picking an m&m that has a quantity of 4 is 4/24 = 1/6 = 16.67%

6 0
3 years ago
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