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ollegr [7]
3 years ago
14

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

x=7

Step-by-step explanation:

63˚+70˚ = 133˚

180˚ - 133˚ = 47˚

(8x-9)˚ = 47˚

8x7=56

56-9=47˚

Furkat [3]3 years ago
3 0

Answer:

<em>x = 7 </em>

Step-by-step explanation:

(8x - 9)° = 180° - ( 70° + 63° )

8x - 9 = 47

8x = 47 + 9

x = 56 ÷ 8  

<em>x = 7</em>

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Answer:

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2 years ago
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An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t
Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

\angle ACB=4^{\circ}  (Alternate interior angles)

For any angle \theta, \tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put AB=532\,,\,\angle C=4^{\circ}

\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet

Distance from the base of the cliff to the point on the ground = 7608 feet

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3 years ago
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Step-by-step explanation:

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2 years ago
Total surface area of the drawing
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The pentagon's area is the sum of the 5 triangles that comprise it.  This is

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