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nikklg [1K]
3 years ago
7

Ricardo draws three right triangles. In each figure, he measures a pair of angles. What is a reasonable conjecture for Ricardo t

o make by recognizing a pattern and using inductive reasoning?
In a right triangle, all of the angles are right angles.

In a right triangle, all of the angles are acute.

In a right triangle, the acute angles are complementary.

In a right triangle, the acute angles are congruent.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:


Step-by-step explanation:

In a right triangle, the acute angles are complementary.

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Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (1,0) (5,0) (3,4). So

A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|

A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)

A = \pm 0.5*(20-4)

A = \pm 0.5*16 = 8

The area of the triangle is of 8 units of area.

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the angle across from the 55 would also be a 55 equaling a 110 degrees angle leaving you with 250 so your other two angles both equal 125

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