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3 years ago

Solve for x in the figure below. HELP ME PLEASE!!!!!!

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

Each triangle has a sum of angles that equal 180° so set each angle measure = 180

(x + 66) + (x + 86) + 50 = 180; add accordingly

2x + 202 = 180; subtract 202 from both sides

2x = -22; divide both sides by 2

x = -11

Plug in -11 for x to check

(-11 + 66) + (-11 + 86) + 50 = 180

55 + 75 + 50 = 180

180 = 180 so -11 is the correct value of x

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the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length

lisov135 [29]

Answer:

B. $4\sqrt{7}$

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

$h = \sqrt{(xy)}$

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = $h = \sqrt{(14*8)}$

$h = \sqrt{112}$

$h = \sqrt{16}*\sqrt{7}$

$h = 4\sqrt{7}$

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IgorC [24]

Answer:

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-------------

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