Answer:
<h3>THEY ARE CONGRUENT BY <em><u>ASA</u></em> TEST OF CONGRUENCE</h3>
The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.
3a = o
Then, using Pythagorean's theorem:
25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm
Then, 3(7.9) = o = 23.7 cm
So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
Answer:
It is B or number three
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here, we assume that point A is (-1, 0) and point B is (z, 2). Since angle BAD is 60°, we have ...
2/(z+1) = tan(60°) = √3
z = (2/√3) -1
Putting the value of z into the equation for the parabola lets us find "a".
2 = a(z +1)(z -5) = a(2/√3)(2/√3 -6)
Then ...
a = 2/(4/3 -12/√3) = (6√3)/(4√3 -36)
a = -(3+9√3)/52 ≈ −0.357470332079
Answer:
-1 and -2
Step-by-step explanation:
f(x) = 4x² − 8kx + 8x −9
f(x) = 4x² − 8(k−1)x − 9
If one root of f(x) is the opposite of the other, then f(x) must be a difference of squares, which means -8(k−1) = 0.
-8(k−1) = 0
k = 1
Therefore, the other polynomial is:
x² + 3x + 2
(x + 1) (x + 2)
The zeros are -1 and -2.
