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2 years ago

Find all possible values of x if these represent side of a triangle 2x,5-x,4

Mathematics

1 answer:

3241004551 [841]2 years ago

7 0

Answer:

-1/3 < x < 3 or x = (-1/3, 3)

Step-by-step explanation:

Given sides of a triangle:

2x, 5 - x, 4

Triangle inequality theorem:

Any side is smaller than the some of the other two.

Apply to the given triangle:

2x + 5 - x > 4 ⇒ x > -1
2x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/3
5 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3

Combine all the inequalities:

-1/3 < x < 3
x = (-1/3, 3)

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Solve for x PLS HELP NOW

Zepler [3.9K]

Answer:

$x=70$

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

$\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}$

Step 2: Solve for x

Cross-multiply: $0.35(x-10)=\frac{2}{3} x \cdot 0.45$
Distribute 0.35: $0.35x - 3.5=\frac{2}{3} x \cdot 0.45$
Multiply: $0.35x - 3.5=0.3x$
Isolate x term: $-3.5=-0.05x$
Isolate x: $70=x$
Rewrite: $x=70$

Step 3: Check

Plug in x to verify it's a solution.

Substitute: $\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}$
Multiply: $\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}$
Subtract: $\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}$
Evaluate: $0.0075=0.0075$

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3 years ago

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Rewrite 9/10 and 14/15 so that they have a common denominator

borishaifa [10]

It would be 27/30 and 28/30

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3 years ago

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

densk [106]

Answer:

Step-by-step explanation:

The LCD (Least Common Denominator) of all the fractions is 4, so you only need to multiply by 4.

Hope this helps :)

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3 years ago

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Artyom0805 [142]

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3 years ago

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$.........$

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3 years ago