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cluponka [151]
3 years ago
8

Can anyone answer this question? It's confusing and i'd like explanation as well!

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

D. 286 deg

Step-by-step explanation:

Think of both triangles as just one single large triangle.

The exterior angles at the bottom have measure 127 deg.

That means the two interior angles at the bottom have measure

180 deg - 127 deg = 53 deg

The measures of the interior angles of triangle add to 180 deg.

The upper interior angle has measure:

180 deg - 53 deg - 53 deg = 74 deg

A full circle has 360 degrees.

Angle r is a full circle minus the upper interior angle of the combined triangle.

r = 360 deg - 74 deg

r = 286 deg

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What the correct answer do not want the wrong answer please
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Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

5 0
4 years ago
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