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daser333 [38]
3 years ago
5

Which possibly forms a triangle

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

C. 17, 12, 7

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.

In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.

A. 8 + 7 = 15 < 16 No

B. 9 + 7 = 16 = 16 No

D. 11 + 5 = 16 < 17 No

C.

17 + 12 = 29 > 7

12 + 7 = 19 > 17

17 + 7 = 24 > 12

Yes

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STALIN [3.7K]
<h3><u>Solution</u>:-</h3>

The equation of any straight line can be written as in slope intercept form as -

\green{ \underline { \boxed{ \sf{y=mx+c}}}}

where,

  • m is its slope
  • c is its y-intercept.

<em><u>Given equation:- </u></em>

\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered}

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>

\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered}

\begin{gathered}\\\implies\quad \sf y =  -5x +10\\\end{gathered}

\leadstoComparing the equation y = -5x +10 with the standard form of the equation, we get -

\quad \bull\: \sf m= -5

\quad \bull \: \sf c= 10

Thus , 5 is our required answer.

4 0
2 years ago
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Which of these is equivalent to -x &lt; 8?:<br> x &lt; 8<br> x &lt; -8<br> x &gt; 8<br> x &gt; -8
adell [148]

Answer:

x>-8

Step-by-step explanation:

multiply both sides with -1

6 0
3 years ago
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Haleys car gets atleast 17 miles per gallon if she plans a trip that is 250 miles what is the minimum number of gallons shell ne
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3 years ago
Which set of data is displayed in the box plot below?
Karolina [17]

Answer:

It would tske to long for me to break it down but my best bet is B

Step-by-step explanation:

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3 years ago
A boat’s sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13 f
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Answer: the other two sides are 5 feet and 12 feet

Step-by-step explanation:

Length of one side be x , that means the other side is x + 7

by Pythagoras theorem:

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expanding , we have:

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Since , the side can not be negative , so

x = 5

That means the other side will be 5+ 7 = 12

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