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Verizon [17]
2 years ago
6

2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?

Mathematics
1 answer:
MaRussiya [10]2 years ago
5 0

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

<h3>What is the Triangle Inequality Theorem?</h3>

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

#SPJ1

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17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
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Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y)   =   8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8   when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

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