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12345 [234]
4 years ago
14

7. what is the value of x

Mathematics
2 answers:
frozen [14]4 years ago
8 0

Answer:

x = 18.5

Step-by-step explanation:

tangent is opposite over adjacent

tan 51 = x/15

solve for x

be sure your calculator is in Degree mode.

x = tan 51 * 15

andrew-mc [135]4 years ago
7 0

Answer:

x ≈ 18.52

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan51° = \frac{opposite}{adjacent} = \frac{x}{15}

Multiply both sides by 15

15 × tan51° = x, thus

x ≈ 18.52 ( to 2 dec. places )

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The measure of ∠ABP and ∠ABC are 32° and 64° respectively.

<h3>what is a bisector of an angle?</h3>

Any line which divides an angle into two equal halves is a bisector of that angle.

Analysis:

Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.

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In conclusion, ∠ABP and ∠ABC are 32° and 64°

Learn more about bisectors of angles: brainly.com/question/24334771

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nika2105 [10]

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