A 2, for a = 5 and b = 6.
2 answers:
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Answer:
Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.
Step-by-step explanation:
Given:
A Circle with p as center and AB and CD as 2 diameters for a circle.
To Find:
Measure of ACD, and arc AC when arc AD is 20 degrees.
Solution:
<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>
<em>Hence it divides the circle into two equal parts and making center as midpoint of it</em> .
(Refer the attachment)
angle APD=20 degree or arc AD=20 degree.
So AB as diameter ,so arc DB=160 degree or BPD=160 degree as A-B-P are
and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree
Now,
points A,C,B,D,A makes circle which measures 360 degrees.
to find ACD
measure of ACD=360-(meaure of arc AD or angle APD)
=360-20
=340 degree.
Now arc AC,
as AB is diameter with p as midpoint ,A-P-B
arc APB=180 and arc BC=20 or angle BPC=20 degrees.
For measure of arc AC= measure of arc APB- arc BC
arc AC=180-20 degrees.
arc AC=160 degrees.
Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)