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<h3>The solutions are:</h3>
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
From eqn 2,
3x - y = 1
y = 3x - 1
<em><u>Substitute the above in eqn 1</u></em>
Substitute x = 0 in eqn 2
3(0) - y = 1
y = -1
<h3>When x = 1/3</h3>Substitute x = 1/3 in eqn 2
Thus solutions are:
Answer:
a.
b.
Step-by-step explanation:
a. The sides of an Equilateral triangle are all equal.
Then, in this case:
Based on this, you can identify that AD divides the side BC into two equal parts and the triangle into two equal Right triangles. Then:
Knowing the length CD, you can find "x" using the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case:
Substituting values and solving for "x", you get:
b. By definition, the measure of each interior angle of an Equilateral triangle is 60 degrees. Therefore: