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alekssr [168]
2 years ago
14

Solve for x. Leave your answer in the simplest radical form.

Mathematics
1 answer:
MaRussiya [10]2 years ago
7 0

Answer:

x = 2\sqrt{5}

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = \sqrt{20}

x = \sqrt{4}·\sqrt{5}

x = 2\sqrt{5}

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Step-by-step explanation:

<em>Hello</em><em>,</em>

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<em>here</em><em>,</em><em> </em><em>the</em><em> </em><em>expression</em><em> </em><em>is</em><em>, </em>

<em>=</em><em>4</em><em>(</em><em>x-2</em><em>)</em><em>/</em><em> </em><em>(</em><em>x</em><em>+</em><em>5</em><em>)</em><em>(</em><em>x-2</em><em>)</em>

<em>so</em><em>,</em><em> </em><em>here</em><em> </em><em>we</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>common</em><em> </em><em>factor</em><em> </em><em>is</em><em> </em><em>(</em><em>x-2</em><em>)</em>

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<em>=</em><em>4</em><em>/</em><em>(</em><em>x</em><em>+</em><em>5</em><em>)</em>

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<h3>What is the value of x?</h3>

Angle NML is the sum of angles NMR and RML, hence:

NML = NMR + RML.

The given measures of the angles are:

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Hence we can solve the equation for RML to find the measure of angle RML, as follows:

NML = NMR + RML

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RML = 130º.

The measure of angle RML is of 130º.

A similar problem, in which the measures of the angles are calculated, is given at brainly.com/question/25716982

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