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3 years ago

Is the supplement of an acute angle is an obtuse angle

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

Answer:

The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

Step-by-step explanation:

Brums [2.3K]3 years ago

4 0

Yes. Supplementary angle is one which when added to the angle makes 180 degrees. Thus, if the angle is acute, its supplementary angle would be obtuse.

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Step-by-step explanation:

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Step-by-step explanation:

Given

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Answer:

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Step-by-step explanation:

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3 years ago

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Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The latus rectum is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints: