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oksano4ka [1.4K]
2 years ago
11

PLEASE HELPwhat is the value of x? enter your answer in the box​

Mathematics
1 answer:
Mashcka [7]2 years ago
5 0

Answer: 3

For this question, we will use the angle bisector theorem.

Angle Bisector Theorem: In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Now let's place it according to a general formula.

x/2.25 = 4/3

x= 4/3 * 2.25

x= 3

There you go! now you know the answer and the way to do it! Brainliest pweasee if the answer is correct and helpful!

<h2>૮꒰ ˶• ༝ •˶꒱ა</h2><h2>./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°.~♡︎ Sara Senpie</h2>
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Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

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The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

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Step-by-step explanation:

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