Equation 2x²-5x+1 has roots alpha and beta. Form quadratic equation with roots (alpha² + 1/alpha²) and (beta²+1/beta²)
1 answer:
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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:
False
Step-by-step explanation:
Given that a high school reports that its students' SAT scores were down by 12% in one year. The next year, however, the test scores rose by 20%.
Let score initially be 100
Down by 12
Next year score 88
For succeedingyear
increase is 20% =
Score in the 2nd year =
Hence overall scores improvement is 5.6% and not 8%