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3 years ago

11

I need help with this geometry

2 answers:

Thepotemich [5.8K]3 years ago

8 0

Answer:

X is equal to 73 degrees.

Explanation:

First, we look at the angle to the right of 119 degrees. We know that a straight angle is 180 degrees. Therefore, we can subtract 119 degrees from 180 degrees to get 61 degrees. Now we have all three angles of the triangle, 61 degrees, 46 degrees, and X degrees. All angles of a triangle add up to 180 degrees, so let's add 61 degrees and 46 degrees to get 107 degrees. Now we can subtract 107 degrees from 180 degrees to get 73 degrees. X is equal to 73 degrees.

Vanyuwa [196]3 years ago

6 0

Answer:

x=73

Step-by-step explanation:

180-119=61

61+46=107

180-107=73

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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

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Answer:

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another way to find it

9 x 20 = 180 9 x 5 = 45 180 + 45 = 225 + 7 = 232

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