What is the value of x? Please show step by step.
1 answer:
Start by using trig to find the length of the line LJ
The triangle KJL (big right angled triangle) has been given the following dimensions
Hypotenuse =
The adjacent angle is 30 degrees
Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse
Opposite= sin30 x
Opposite=
Therefore line LJ is
Now look at the smaller right angled triangle (LMJ)
Hypotenuse is the line LJ which is
The adjacent angle is 45
Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h
therefore
x= * sin45= 4
The triangle KJL (big right angled triangle) has been given the following dimensions
Hypotenuse =
The adjacent angle is 30 degrees
Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse
Opposite= sin30 x
Opposite=
Therefore line LJ is
Now look at the smaller right angled triangle (LMJ)
Hypotenuse is the line LJ which is
The adjacent angle is 45
Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h
therefore
x=
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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.
