PLEASE HELP!! “find the measure of each angle”
1 answer:
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Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.
<h3>What is a supplementary angle?</h3>A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:
Q + R = 180°.
In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:
x + 112° = 180°
x = 180° - 112°
x = 68°
Read more on supplementary angle here: brainly.com/question/12542846
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Given:
Consider the height of the rocket, in feet after x seconds of launch is
To find:
The time at which the rocket will reach its max, to the nearest 100th of a second.
Solution:
We have,
It is a quadratic polynomial with negative leading coefficient. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
To find the time at which the rocket will reach its max, we need to find the x-coordinate of the vertex.
If a quadratic function is , then the vertex is
Here, .
So,
So, x-coordinate of the vertex is 4.75.
Therefore, the rocket will reach its max at 4.75 second.