Answer:
<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>
Step-by-step explanation:
<u>Equations</u>
We are given some conditions applying to the internal angles on a triangle ABC.
The measure of angle A is 13 less than the measure of angle C.
The measure of angle B is 11 less than 4 times the measure of angle C
Let x = measure of angle C
The first conditions states:
The second conditions states:
The sum of all angles must be 180°, thus:
Simplifying:
6x -24 = 180
Adding 24:
6x = 204
Dividing by 6:
x = 204/6
x = 34
The measures of angles A, B, and C are respectively 21°, 125°, and 34°
Answer:
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Step-by-step explanation:
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Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
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explanation in the attached picture
