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Goshia [24]
3 years ago
14

If m ZA = 87º and mZB = 32°, find m21.

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

Step-by-step explanation:

∠1 = ∠A + ∠B          

                 { exterior angle equals the sum of opposite interior angles }

    = 87 + 32

     = 119

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What is the area of a triangle with vertices (1,0) (5,0) (3,4)
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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)

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3 0
3 years ago
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3 years ago
The given line segment has a midpoint at (−1, −2).
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Answer:

The given line segment has a midpoint at (−1, −2).

On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).

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Answer:

276 Guests

Step-by-step explanation:

Calculation to determine how many guest were at the wedding

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