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Delicious77 [7]
3 years ago
8

What is the length of each leg of the triangle below

Mathematics
1 answer:
Bad White [126]3 years ago
8 0
Where is the triangle below?
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Find the value of p and q
Ira Lisetskai [31]

Answer:

The answer to your question is p =  27.7      q = 29

Step-by-step explanation:

Process

1.- Calculate the value of all the angles of the triangle

The angle of 50° and the one to the right are supplementary

                                   x + 50 = 180

                                   x = 130°

- The sum of the internal angles in a triangle equals 180°

                     30° + y + 130° = 180

                              y = 180 - 130 - 30

                              y = 180 - 160

                              y = 20°

- The angle of the right triangle

                     50 + 90 + z = 180

                              z = 180 - 90 - 50

                              z = 40°

If sum up the superior angles 20 + 40 = 60°, then the biggest triangle is a 30-60-90

2.- Calculate q using the trigonometric function tangent

                        tan Ф = q / 55

solve for q

                        q = 55 tan 30

                         q = 28.9 ≈ 29

3.-  Calculate the hypotenuse of the biggest triangle

                       h² = 55² + 29²

                       h² = 3866

                       h = 62,12

4.- Use law of sines to find p

                     \frac{p}{sin 20} = \frac{62.12}{sin 130}

solve for p

                       p = \frac{62.12 sin 20}{sin 130}

                       p = 27.74                        

5 0
4 years ago
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Complete the definition.
Sati [7]

Answer:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Step-by-step explanation:

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3 years ago
PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!
QveST [7]

Answer: itIs c for sure

Step-by-step explanation:

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P, Q, R and S are four points on a circle.
shtirl [24]

Answer:

Triangle PTS is an equilateral triangle because all sides are equal lengths.

Angle TPS and angle TSP are equal because it is an equilateral triangle.

Triangle PQS and triangle SRP are congruent because of the side-angle-side theorem.

Segment PQ is congruent to segment SR because congruent sides of congruent triangles are congruent.

Segment PR is congruent to segment SQ because congruent sides of congruent triangles are congruent.

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$500 per month plus 4% commission system of equation. $400 per month plus 5% commission
Alex777 [14]
That would be about 1400 dollars

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