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allsm [11]
2 years ago
11

Help pleaseee 15 points ​

Mathematics
2 answers:
hodyreva [135]2 years ago
8 0

Answer:

55°

Step-by-step explanation:

35°+ 90° + ? =180°

? = 180° - 125°

= 55°

Katarina [22]2 years ago
6 0

\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}

55°

Step-by-step explanation:

let the missing angle be x

x + 90° + 35° = 180°

(angle sum theorem)

  • the sum of all 3 angles of triangle is always 180°

x + 125° = 180°

x = 180° - 125°

x = 55°

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Answer:

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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,

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

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Thus,

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

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