What is the distance between ( 2 1/2, 3) and (1, -3)
1 answer:
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Answer:
The length of segment XY can be found by solving for a in
The measure of the central angle is
.
Step-by-step explanation:
If the regular octagon has a perimeter of 122.4cm, then each side is
The measure of each central angle is
The angle between the apothem and the radius is
The segment XY=a is the height of the right isosceles triangle.
We can use the Pythagoras Theorem with right triangle XYZ to get:
Therefore, the correct options are:
The length of segment XY can be found by solving for a in
The measure of the central angle is
.
The measure of ∠ACB will be 110°
<u><em>Explanation</em></u>
According to the diagram below, and
are the perpendicular bisectors of
and
respectively and they intersect side
at points
and
respectively.
So, and
Now, <u>according to the postulate</u>, ΔAPE and ΔCPE are congruent each other. Also, ΔCFQ and ΔBFQ are congruent to each other.
That means, ∠PCE = ∠PAE and ∠FCQ = ∠FBQ
As ∠CPQ = 78° , so ∠PCE + ∠PAE = 78° or, ∠PCE = ° and as ∠CQP = 62° , so ∠FCQ + ∠FBQ = 62° or, ∠FCQ =
°
Now, in triangle CPQ, ∠PCQ = 180°-(78° + 62°) = 180° - 140° = 40°
Thus, ∠ACB = ∠PCE + ∠PCQ + ∠FCQ = 39° + 40° + 31° = 110°
We know that:
There is also an interesting property that relates the sine and the cosine of an angle:
We can find the cosine of theta using this equation:
Since theta is in the third quadrant then its cosine must be a negative number so: