Mathematics, 22.09.2019 07:50 riamspmau

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

Answers: 2

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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

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

Draw lines to match each expression on the left with the correct product on the right.

Answer from: Quest

answer: solve 5\cdot 2^x=2405⋅2

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}

5⋅2

=240

=48

step-by-step explanation:

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