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Stella [2.4K]
3 years ago
9

Determine whether the given measures can be the lengths of the sides of a triangle. write yes or no. explain. 9.2, 14.5, 17.1

Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Answer with explanation:

If the length of three segments are, 9.2, 14.5 and 17.1 ,it can be sides of triangle if , Sum of two segments is greater than the third segment.

1.→ 9.2 +14.5=23.7 >17.1

2.→ 14.5 +17.1=41.6 > 9.2

3.→17.1 +9.2=26.3 >14.5

As, sum of any two segment is greater than third segment, so the following measurements can be the the lengths of the sides of a triangle.  

Sergio039 [100]3 years ago
3 0
If the triangle has a angle of 90°, you can solved this exercise by applying the Pythagorean Theorem, which is:

 h²=a²+b²
 h=√(a²+b²)

 h: It is the hypotenuse (The opposite side of the right angle and the longest side of the triangle).

 a and b: They are the legs (The sides that form the right angle).

 The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:

 h=√(a²+b²)
 h=√((9.2)²+(14.5)²)
 h=17.1

 Therefore, the answer is:

 Yes, the given measures can be the lengths of the sides of a triangle.
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two gallons of paint will cover 700 square feet. How many gallons of paint are needed to cover 1,960 square feet ?
Degger [83]
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Hope this helps!
8 0
3 years ago
PLEASE HELP!!<br> What is the solution to this system of equations?
Mashcka [7]

Answer:

Step-by-step explanation:

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3 0
2 years ago
5x+5y=-30 find the x and y intercept
Masja [62]

<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2 /><h2>Explanation:</h2>

The Standard Form of the equation of a line is given by:

Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0

So:

5x+5y=-30

is written in Standard Form. The x and y intercepts are:

x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)

So:

FOR X-INTERCEPT:

Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}

FOR Y-INTERCEPT:

Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}

Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

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3 years ago
If AVB has a measure of 70 and VM is its angle bisector, what is the measure of AVM
maw [93]
I think  AVM= 35 degrees 
Hope this helps 
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3 years ago
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