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mafiozo [28]
3 years ago
11

Find the value xthis is a test I need it immediately asap​

Mathematics
2 answers:
-BARSIC- [3]3 years ago
7 0

Answer:

It should be 98 degrees

Step-by-step explanation:

All angles in a triangle add to be 180

So 180 -57 = 123

123 - 41 = 82

This gives you the missing interior angle

Now, the angle of a straight line is 180

so, 180 - 82 = 98

mamaluj [8]3 years ago
5 0

Answer:

98

Step-by-step explanation:

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3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

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x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

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AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

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CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

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