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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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What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
IrinaVladis [17]

Answer: BC = 16√2 ft

Step-by-step explanation:

Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.

With m∠W as the reference angle,

AB represents the adjacent side of the right angle triangle.

AC represents the opposite side of the right angle triangle.

To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 45 = 16/BC

√2/2 = 16/BC

BC = 16/(√2/2) = 16 × 2/√2

BC = 32/√2

Rationalizing the denominator, it becomes

BC = 32/√2 × √2/√2

BC = 32√2/2

BC = 16√2 ft

8 0
3 years ago
an opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. if a marble is drawn at random what are the odds of d
nekit [7.7K]

Answer:

1 out of 2

Step-by-step explanation:

Sorry if I’m wrong

4 0
2 years ago
What is the value of k if the line 5x+ky=12 passes through the point (2,-1).
olchik [2.2K]

Answer:

k = -2

Step-by-step explanation:

1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.

5x + ky = 12

5(2) + k(-1) = 12

2. Simplify

5(2) + k(-1) = 12

10 + (-k) = 12

10 - k = 12

2. Isolate k

10 - k = 12

-k = 12-10

-k = 2   <= here multiply both sides by (-1)

k = -2

5 0
3 years ago
Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of
Kaylis [27]
Line k is // to line m.

Slopes of // lines are equal.

Answer: 2/3
3 0
3 years ago
Read 2 more answers
Which expression is equivalent to the following complex fraction? X+5/x+2-x+1/x^2+2x
ICE Princess25 [194]

Answer:

Final answer will be the choice which matches best with expression

\frac{x^2+4x-1}{x\left(x+2\right)} or

\frac{x^2+4x-1}{x^2+2x}


Step-by-step explanation:

Given expression is:

\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{\left(x^2+2x\right)}

We begin by factoring denominators:

=\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}

Multiply and divide first term by (x) to make denominators equal.

=\frac{x\left(x+5\right)}{x\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}

Since denominators are equal so we can combine numerators.

=\frac{x\left(x+5\right)-\left(x+1\right)}{x\left(x+2\right)}

Now simplify

=\frac{x^2+5x-x-1}{x\left(x+2\right)}


=\frac{x^2+4x-1}{x\left(x+2\right)}


=\frac{x^2+4x-1}{x^2+2x}

Hence final answer will be the choice which matches best with expression

\frac{x^2+4x-1}{x\left(x+2\right)} or

\frac{x^2+4x-1}{x^2+2x}


7 0
3 years ago
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