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Whitepunk [10]
2 years ago
10

What is the value of x?

Mathematics
2 answers:
djverab [1.8K]2 years ago
6 0

Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

<h3>Solve for x</h3>
  • 180° = ∠1 + ∠2 + ∠x
  • 180° = 75° + 50° + x°
  • 180° - 75° - 50° = x°
  • 55° = x°

The value of x is 55°.

Ronch [10]2 years ago
4 0

<u>Angle sum property of a triangle</u>

  • Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

  • ∠A = ?
  • ∠B = 75°
  • ∠C = 50°

We need to find the value of ∠A

According to the angle sum property of a triangle

⇢∠A + ∠B + ∠C = 180°

⇢∠A + 75° + 50° = 180°

⇢∠A + 125° = 180°

⇢∠A = 180° - 125°

⇢∠A = 55°

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Given:

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Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

1.5\times39.4=59

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

\frac{59}{39.4}=1.5

Hence, 59 in = 1.5 m.

Next,

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Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

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Also, the quantity from liters to quarts is converted as:

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Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

\frac{x^2 + 4x - 45}{x^2 + 10x + 9}

Simplifying the numerator first:

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Dividing the numerator and denominator now gives;

\frac{(x - 5)(x + 9)}{(x + 1)(x + 9)}

Cancelling (x + 9) throughout leaves you with;

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The only restrictions here is if x = 1 and 9 which will give an undefined answer.

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