4.2x-3=0.5(8.4x+6). What does this equal to?
1 answer:
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Answer:
Step-by-step explanation:
Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign
Collect like terms
Subtract 4.5 from 18
Divide both sides by 4.5
Calculate
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Question:
If the measure of arc CB is units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is units.
The length <em>L </em>of an arc is given by;
L = -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L =
<em>Substitute these values into equation (i) as follows;</em>
=
=> =
<em>Cancel 8</em><em> on both sides</em>
=
<em>Cross multiply</em>
3 x β = 360 x 1
3β = 360
<em>Divide both sides by 3</em>
<em /><em />
β = 120°
Therefore, the measure of ∠CAB is 120°
