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2 years ago

Is it possible to construct a triangle with the given lengths? 17, 37, 53

Mathematics

1 answer:

kvv77 [185]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

$17+37>53,\\54>53,\\\text{True}\:\checkmark$

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3 years ago

Read 2 more answers

Simplify <br> 4(2x + 1) − (−6x)

Sladkaya [172]

Answer:

4(2x + 1) − (−6x)

8x+4+6x

14x+4

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3 years ago

Solve the absolute value inequality: [X + 12[ +5 <27

Westkost [7]

Answer:

Option C.

Step-by-step explanation:

The given absolute value inequality is

$|x+12|+5$

Isolate the absolute value by subtracting 5 from both sides.

$|x+12|+5-5$

$|x+12|+0$

$|x+12|$

Therefore, the correct option is C.

We can further solve this, to find the solution of the given inequality.

$-22$

Subtract 12 from each sides.

$-22-12$

$-34$

The solution of given inequality is $-34$ .

5 0

2 years ago

Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minut

Stolb23 [73]

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

7 0

3 years ago