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makvit [3.9K]
3 years ago
13

What is parenthesis ?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0
Parenthesis are something you can use in math problems that mean anything inside of them is what you have to solve first. In PEMDAS P is parenthesis which means that is first.
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Secant BE and CF intersect at point A inside D. What is the measure of BF?
svet-max [94.6K]

Answer:

\text{BF}=80^{\circ}

Step-by-step explanation:

We have been given a circle D. Secant BE and CF intersect at point A inside D. We are asked to find the measure of arc BF.

We know that when two secants intersect inside a circle, then the measure of angle formed is half the sum of intercepting arcs.

m\angle EAF=\frac{\text{Measure of arc EF+Measure of arc BC}}{2}

70^{\circ}=\frac{\text{Measure of arc EF+Measure of arc BC}}{2}

2*70^{\circ}=\frac{\text{Measure of arc EF+Measure of arc BC}}{2}*2

140^{\circ}=\text{Measure of arc EF+Measure of arc BC}

We know that degree measure of circumference of circle is 360 degrees, so we can set an equation as:

\text{Arc EF+BC+EC+BF}=360^{\circ}

140^{\circ}+140^{\circ}+\text{BF}=360^{\circ}

280^{\circ}+\text{BF}=360^{\circ}

280^{\circ}-280^{\circ}+\text{BF}=360^{\circ}-280^{\circ}

\text{BF}=80^{\circ}

Therefore, the measure of arc BF is 80 degrees.

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