How many triangles exist with the given side lengths?12 in, 15 in, 18 in
A) No triangle exists with the given side lengths.
B) Exactly one unique triangle exists with the given side lengths.
C) More than one triangle exists with the given side lengths.

Answers

Answer 1

Answer:

According to triangle inequality theorem, “The sum of the length of two sides of a triangle should be greater than the third side”. In order to verify the mentioned theorem, some calculations are performed below.

12 + 15 > 18

15 + 18 > 12

12 + 18 > 15

As the triangle inequality theorem satisfied, so there is only one triangle possible with the given sides length. No more than one triangle is possible, because the angles are not given, and the sides length are fixed.

So option “B” is correct.

Answer 2

Answer:

Answer:

it is b

Step-by-step explanation:

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the radius of the dial of the worlds longestclock is 7.7find the area of the dial

Answers

the area of the dial is π*r*r = 186.17;

Solve using substitution

x = y +3
-3x + 3y = 6

Answers

$\large\bf{\underline{\underline{\mathfrak{Question}:}}}$

Solve using substitution

x = y +3,

-3x + 3y = 6

$\large\bf{\underline{\underline{\mathfrak{Solution}:}}}$

Giventhat,

${\small{\rm{x=y+3}}}$

Equation:

${\small{\rm{-3x + 3y = 6}}}$

So,

By substituting the value of xthat is y+3 in the given equation we get,

$:{\Longrightarrow{\small{\rm{-3(y+3) + 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{-3y-9+ 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{\cancel{-3y}-9\cancel{+3y} = 6}}}}$

$:{\Longrightarrow{\small{\rm{x = 6+9}}}}$

$:{\Longrightarrow{\small{\rm{x = 15}}}}$

${\therefore{\small{\rm{Value\:of\:x = 15}}}}$

Now to find the value of Y use the value of x in the givenequation.

$:{\Longrightarrow{\small{\rm{-3(15) + 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{-45+ 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{3y = 6+45}}}}$

$:{\Longrightarrow{\small{\rm{3y = 51}}}}$

$:{\Longrightarrow{\small{\rm{y =(51)/(3)}}}}$

$:{\Longrightarrow{\small{\rm{y =17}}}}$

${\therefore{\small{\rm{Value\:of\:y = 17}}}}$

Forverification:

$:{\Longrightarrow{\small{\rm{-3(15) + 3(17) = 6}}}}$

$:{\Longrightarrow{\small{\rm{6= 6}}}}$

Henceverified!

The Nguyen family spent $48 on entrance fees to the county fair. Each ticket for an adult cost $12. Each ticket for a child cost $5. Each senior citizen paid $2. There were six people in the group. There were 2 fewer tickets purchased for senior citizens than adult tickets. How many adult tickets were purchased?

Answers

i wanna say 3 but not sure

HELP ME LOOK AT THE PICTURE

Answers

Part A
Choice 2- The difference between 2 and -1 is -3.

Part B
Martha's total score is -2

At a supermarket, the price of a Thanksgiving turkey is determined by how many pounds the turkey weighs. The price of a 12.4 pound turkey is $15.50. Write an equation that can be used to determine the price, p, in dollars, of any turkey based on the number of pounds, t, the turkey weighs. Explain the process you used to determine the equation.

Answers

Answer:

The expression is: $p = 1.25*t$

Step-by-step explanation:

Since the price is determined by the weight of the turkey, we need to find the value of one pound in order to create the expression, to do that we will apply the point given.

$\text{price per pound} = \frac{\text{price}}{\text{weight}}\n\text{price per pound} = (15.5)/(12.4) = 1.25$

Each pound costs $1.25, therefore the expression used to calculate the price of the turkey must be the weight of the turkey in pounds multiplied by the price of each pound.:

$p = 1.25*t$

1. Y = x + 6
Y = 2x
A) (6, 12)
B) (-12, -6)
C) (-6,-12)
D) (2,4)