Mathematics, 22.09.2019 07:50 riamspmau

With reference to the figure match the angles and arcs to their measures

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Angle BAC = (180 - 114) degrees = 66 degrees [angle on a straight line]

Angle OCA = Angle OBA = 90 degrees    [angle at the point where the tangent and the radius meet]

Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees [sum of interior angles of a quadrilateral]

Angle CDE = (180 - 124) degrees = 56 degrees [angle on a straight line]

Angle OCD = Angle OED = 90 degrees    [angle at the point where the tangent and the radius meet]

Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees    [sum of interior angles of a quadrilateral]

Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees [angle at a point]

Angle OBF = Angle OEF = 90 degrees    [angle at the point where the tangent and the radius meet]

Thus, angle BFE = (360 - 122 - 90 - 90) degrees = 58 degrees.

Answer from: Ibnushuaibabutalhah

$\widehat{CE}=124^{\circ}$ $\widehat{CB}=114^{\circ}$ $\widehat{EB}=122^{\circ}$

Step-by-step explanation:

For the given circle O, AD, FA and FD are tangents.

The angle between tangent and radius is 90°.

Also $m\angle CDE=180-124=56^{\circ}$ and $m\angle CAB=180-144=66^{\circ}$

In a triangle sum of all angles is 180°, so

$m\angle EFB=180-56-66=58^{\circ}$

In a quadrilateral sum of all angle is 360°, so

$\widehat{CE}=m\angle COE=360-90-90-56=124^{\circ}$

$\widehat{CB}=m\angle COB=360-90-90-66=114^{\circ}$

$\widehat{EB}=m\angle EOB=360-90-90-58=122^{\circ}$

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

Answer from: Quest

5(2a-5+b). xbox xboxxbx xb

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With reference to the figure match the angles and arcs to their measures
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