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Sav [38]
4 years ago
9

Can any three side lengths make a triangle? Explain your reasoning.

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
5 0
In most cases its possible, but if the 2 of the shortest side lengths are added together and the sum is greater than the 3rd side length, than making a triangle is not possible.

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In the figure, . Find x and y.
zloy xaker [14]

Answer:

The answer to your question is x = 52° and y = 137°

Step-by-step explanation:

Process

1.- Find the value of x using the large right triangle, remember that the sum of the internal angles in a triangle equals 180°.

   x  + 38 + 90 = 180

  x = 180 - 90 - 38

  x = 52°

2.- To find y, we notice that x and y -9 are supplementary angles so their sum gives 180°.

           x + y - 9 = 180

Substitution

          52 + y - 9 = 180

          y = 180 + 9 - 52

          y = 137°

   

6 0
3 years ago
30 treadmills to 36 elliptical machines ratio simplest form
Ivanshal [37]

Answer:

5 to 6 or 5:6 or 5/6

Step-by-step explanation:

30/36 = 15/18 = 5/6

8 0
3 years ago
Read 2 more answers
The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 co
Lapatulllka [165]

Answer:

<h2>The demand at a price of $1.50 per cone is 44 cones</h2>

Step-by-step explanation:

 let us apply the interpolation formula to solve this problem

we have

\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1

Substituting our given data we have

y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2=  \frac{20}{-1} (-0.7)+30\\\\y2=   (20*0.7)+30\\y2= 14+30\\y2= 44

the demand at a price of $1.50 per cone is 44 cones

4 0
3 years ago
If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.
RoseWind [281]

Answer:

56

Step-by-step explanation:

5 0
2 years ago
The sum of 3 consecutive even integers is 78. What is the largest of the integers?
Maksim231197 [3]

Answer:

is the sum 78 or 7,878 (i.e. was there a stutter)?

In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.

Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.

No stress!  Just logic! Keep the faith!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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