Given that g(x)=x^2-4x-5, find (g*g) (-2)
2 answers:
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The correct answer is 60⁰.
Step-by-step explanation:
- An angle whose measure is 60⁰ is rotated more than halfway around a circle.
- Since, we have to find the measure of angle.
- As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
- Considering that an angle is rotated more than halfway around a circle be
- Multiplying
with 360⁰
- Therefore, it can show as
- Which gives the result to be 60⁰
- Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
- A single rotation around a circle is equal to 360 degrees.
- The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
- If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.
Answer: The length of segments between this point and the vertices of greater base are and 18.
Step-by-step explanation:
Let ABCD is the trapezoid, ( shown in below diagram)
In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7
Let P is the point where The extended legs meet,
So, according to the question, we have to find out : AP and BP
In Δ APB and Δ DPC,
∠ DPC ≅ ∠APB ( reflexive)
∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)
And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)
Therefore, By AAA similarity postulate,
Let, DP =x
⇒
⇒ 33 +11x = 18x
⇒ x = 33/7=
Thus, PD=
But, AP= PD + DA
AP=
Now, let PC =y,
⇒
⇒ 77 + 11y = 18y
⇒ y = 77/7 = 11
Thus, PC= 11
But, PB= PC + CB
PB= 11+7 = 18
