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Georgia [21]
3 years ago
9

Is it possible or not possible to draw a triangle with sides lengths of 4, 5 and 7?

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer:

No.

Step-by-step explanation:

The Triangle Inequality Theorem states that this is not possible.

Eduardwww [97]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

Triangular Inequalities Theorem.

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Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex depo
djverab [1.8K]

Answer:

D

Step-by-step explanation:

Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.

8 0
3 years ago
a box contains 5 plain pencils and 5 pens. a second box contains 7 color pencils and 5 crayons. one item from each box is chosen
Ket [755]
First box: \dfrac{pen}{total}=\dfrac{5}{10}=\dfrac{1}{2}

Second box: \dfrac{crayon}{total}=\dfrac{5}{12}

Multiply them:

\dfrac{1}{2}*\dfrac{5}{12}=\dfrac{5}{24}

The probabilityis \dfrac{5}{24}
5 0
3 years ago
1/5 of 25 = 25 divided by 5=
vitfil [10]
5 because 25 divided by 5 is 5
5 0
3 years ago
Please help me with the following questions. Thanks!
Natali5045456 [20]

Answer:

The answer to your questions  are in bold

Step-by-step explanation:

a)  

 C = \left[\begin{array}{ccc}-6&6\\-2&4\\\end{array}\right]

    = -24 + 12

   = -12

b)  -1   7          -4   -1                   -1  - 4        7 - 1               - 5      6

    -2 -6          -8    8      =          -2 - 8       -6 + 8              -10      2

     2 -3           2   -7                  2 + 2        -3 - 7               4       -10

   -1   10         -6     5                 -1 - 6         10 + 5              -7       15

5 0
3 years ago
Which pairs of angles in the figure below are verticle angles? Check all that apply.
vazorg [7]

Answer:

correct answer options are ; C and D

Step-by-step explanation:

By definition, vertical angles are those that are opposite each other when two lines cross and are equal.

Observing the given options;

C. ∠LRE and ∠FRA

D.∠TRF and ∠NRL

In the other options given, it could have been correct if stated as;

A. ∠ARS and ∠ERO

B. ∠NRA and ∠TRE

3 0
3 years ago
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