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3 years ago

14

Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.

1 answer:

Oksanka [162]3 years ago

3 0

Smaller angle= 60°
larger angle= 120°

equation
2x + x = 180°
3x = 180°
x = 60°

2x = 2 × 60 = 120°

60° + 120°= 180°

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=====================================================

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Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal

Nikolay [14]

Answer:

$\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}$

Step-by-step explanation:

Given: Monica wants to measure the dimensions of her rectangular lawn.

If the longer side of the lawn is BC=(x + 3) feet.

If the diagonal length is AC=(x + 4) feet.

Let the shortest side of lawn is AB=y feet

The angle of rectangle is right angle.

Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.

Using Pythagoreous theorem,

$AB^2+BC^2=AC^2$

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$y^2=(x+4)^2-(x+3)^2$

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$y^2=2x+7$

$y=\pm \sqrt{2x+7}$

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$y=\sqrt{2x+7}\text{ feet}$

$\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}$

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