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Sindrei [870]
3 years ago
15

The measures of two sides of a triangle are 4in and 13in. Find all possible values that the third side of this triangle can be?

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

9 < x < 17 is the possible length of the third side of a triangle.

Step-by-step explanation:

The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.

Given the two sides of the triangle

  • 4 in
  • 13 in

Let 'x' be the length of 3rd size.

According to the Triangle Inequality theorem,

The difference of two sides < x < The sum of two sides

13 - 4 < x < 13+4

9 < x < 17

Therefore, 9 < x < 17 is the possible length of the third side of a triangle.

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Advocard [28]

Hi!

Let's find out how much he has to pay for each of the deals.

Deal 1

£1.75 per mile.

192 x 1.75 = 336

£336

Deal 2

15% off of £680

\frac{x}{680} \frac{15}{100}

680 x 15 = 10200

10200/100 = 102

680 - 102 = 578

£578

Deal 3

£90 per day - 1/10

90 x 7 = 630

1/10 of 630 = 63

630 - 63 = 567

£567

The cheapest deal would be Deal 1

Hope this helps! :)

-Peredhel

5 0
3 years ago
Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.998¯¯¯¯¯¯¯¯.
Nookie1986 [14]

Answer:

998/1000

or  

499/500 simplified

6 0
3 years ago
Read 2 more answers
(a) Tom says that 1/5 + 7/20 = 8/25
mezya [45]

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

7 0
3 years ago
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Which relationships could have a negative correlation? Select three options. number of hours worked and free time speed of a car
Alja [10]

Answer:

hope you can understand

4 0
2 years ago
Read 2 more answers
\a truck travels at an average of 55 miles per hour once inside city limits the truck decreases it speed by 40 percent what is t
grandymaker [24]

Answer: 33 mph

Step-by-step explanation:

First find out what 40% of 55 is:

= 40% * 55

= 22 mph

This means that the speed reduces by 22 mph inside the city.

The speed inside the city is therefore:

= 55 - 22

= 33 mph

4 0
2 years ago
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