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Vladimir [108]
3 years ago
10

A triangle has two sides of lengths 6 and 9. What value coul the length of the third side be?

Mathematics
2 answers:
topjm [15]3 years ago
8 0

Answer:

(a) -2,0 and 2,5 and (b) 2,-1 and 10,9

The question is incomplete without the answer choice. Let's consider the following:

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? select two options

a) -2,0 and 2,5

b) -4,5 and 4,-5

c) -3,4 and 2,0

d) 1,-1 and 6,-5

e) 2,-1 and 10,9

Sveta_85 [38]3 years ago
5 0

Answer:

The length of any side of a triangle cannot exceed the sum of the lengths of the other two sides. (I am allowing three collinear points to be considered vertices of a degenerate triangle.) Therefore, if two sides have length 6 cm and 9 cm, the third side has length between 9–6 = 3 cm and 9+6 = 15 cm. On the other hand, if we take a line segment whose length is any real number between 3 and 15 cm and construct a circle of radius 6 cm with center at one end and another circle of radius 15 cm with center at the other end, the two circles will intersect and a point of intersection will be the third vertex of a triangle with base the given line segment and whose two other sides are of length 6 cm and 9 cm. So the third side can be of any length between 3 and 15 cm.

Step-by-step explanation:

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Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum o
Blizzard [7]

We are given these three people age below:

  • Jim's age
  • Carla's age
  • Tomy's age

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

  • Jim's age = x

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

  • Carla's age = x+5

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

  • Tomy's age = 6+(x+5)

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

\large{x + x + 5 + 6 + x + 5 = 31}

Combine like terms and solve for x.

\large{3x + 16 = 31}  \\  \large{3x = 31 - 16} \\  \large{3x = 15} \\  \large{x = 5}

Then we substitute the value of x in ages to find these three people ages.

  • Jim's age = x = 5
  • Carla's age = x+5 = 5+5 = 10
  • Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.

Answer

  • Jim's age = 5
  • Carla's age = 10
  • Tomy's age = 16
4 0
3 years ago
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
sdas [7]

Given

 One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had  coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had  coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore  the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved

7 0
3 years ago
Miguel borrowed $825 for a new couch. He will make 9 monthly payments of $95 to repay the loan. How much will he pay in interest
Leona [35]

Answer:

$30 is paid in interest.

Step-by-step explanation:

The couch costs $825 and Miguel will pay 9 * $95 = $855.  So the amount of interest paid is how much in total was paid $855 minuse the cost of the couch $825, or $855-$825 = $30 in interest

3 0
3 years ago
I need help I have no clue
Setler79 [48]

Answer:

The answer to your question is x = 64; y = 20

Step-by-step explanation:

Angles    2x + 2  and 130° are vertical angles so they measure the same.

                           2x + 2 = 130

- Solve for x

                           2x = 130 - 2

                           2x = 128

                             x = 128/2

                             x = 64

Angles  3y - 10 and 50° are vertical angles, so they measure the same.

                           3y - 10 = 50

                           3y = 50 + 10

                           3y = 60

                             y = 60/3

                            y = 20

3 0
3 years ago
What is the graph of the system y = −2x + 3 and 2x + 4y = 8? <br><br> Select one:
zhuklara [117]
 y = -2x + 3....slope = -2, y int = 3

2x + 4y = 8
4y = -2x + 8
y = -1/2x + 2....slope is -1/2, y int is 2

this is graph C
5 0
3 years ago
Read 2 more answers
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