Points A, B, and C are on line AC. Angle CBD has a measure of 140°. What is the measure of angle ABD? 40° 50° 60° 70°
2 answers:
Answer: The correct option is 1 and measure is 40.
Explanation:
It is given that points A, B, and C are on line AC. Angle CBD has a measure of 140°.
Draw a diagram using given information,
From the figure it is noticed that the angle CBD and angle ABD are lies on straight line and lies on the same arc. So, the angle CBD and angle ABD are supplementary angles and their sum is 180 degree.
Therefore, the correct option is 1.
Answer:
OPtion A. 40°
Step-by-step explanation:
Three points A, B, and C are on a straight line. Angle CBD has a measure of 140°then we have to calculate the measure of angle ABD.
As we know two angles at a point and on a straight line supplement each other.
Therefore ∠CBD + ∠ABD = 180°
∠ABD + 140 = 180
∠ABD = 180 - 140 = 40°
Therefore ∠ ABD will measure 40°.
Option A. 40° is the answer.
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Answer:
±√58 ≈ ±7.616
Step-by-step explanation:
The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.
|x| = √(3² +7²) = √58
The motion is bounded between positions ±√58.
_____
Here's a way to get to the relation used above.
The sine of the sum of angles is given by ...
sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)
If this is multiplied by some amplitude A, then we have ...
A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)
Comparing this to the given expression, we find ...
A·cos(c) = 3 and A·sin(c) = -7
We know that sin²+cos² = 1, so the sum of the squares of these values is ...
(A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²
That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...
x = A·sin(θ +c) . . . . for some angle c
x = (√58)sin(θ +c)
This has the bounds ±√58.
Answer:
Quotient means the answer after dividing two numbers.