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madreJ [45]
3 years ago
15

Can someone help me with this please ?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

If the triangle is a right triangle, then

       (3x)² + x² = (10)² .

         9x² + x² = 100

             10x²  = 100

                 x²  =  10

                 x  =  √10  =  approx. 3.1622...

If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.

' x ' has to be greater than  2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .

So, if    2.5  <  x  <  √10 , then there is a triangle, and it's obtuse.


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Answer:

x is all real numbers

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8 0
3 years ago
Draw the triangle that is the image of the given triangle after dilation with center ​(0​,0​) and a scale factor of 1/4 (one fou
solong [7]

Hey there!

Your answer is C.

If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.

12 x 1/4 = 3

4 x 1/4 = 1

So, the legs of our new triangle have lengths of 1 and 3.

We can see that option C has the correct triangle in red.

If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.

The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.

The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.

These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.

Hope this helps!  

6 0
3 years ago
The area of a square is 321 square feet. Which best represents the length of a side?​
sdas [7]
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I don’t see a point so how am I supposed to answer
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Find the distance between the points (-1,-5) and (-10,7).
Paladinen [302]

Answer:

15 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (- 10, 7)

d = \sqrt{(-10+1)^2+(7+5)^2}

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    = \sqrt{225}

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5 0
3 years ago
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