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

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

Answer from: Quest

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that runner b is moving at a slower rate."

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