Mathematics: Given the following: measure of arc a b equals measure of arc b c equals measure of arc c d. in circle f, what is the measure of ∠ ced ? a. 36° b. 18° c. 9° d. 72°

There are two ways to work this out: normal variables or using imaginary numbers.Normal variables:Imaginary numbers:Using the result from earlier:Now since , then the expression becomes:...

Given the following: measure of arc a b equals

Ответ:

eylinglez3ovm16v

13.03.2022

Mathematics

We know that
The inscribed angle measures half of the arc it comprises.
so
∠CED=(1/2)*[arc CD]

arc AB=36°> by central angle
then
arc CD=36°
∠CED=(1/2)*[arc CD] ∠CED=(1/2)*[36°]> ∠CED=18°

the answer is
∠CED=18°

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Ответ:

RickySpanish

22.07.2020

Mathematics

There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
$(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}$

Imaginary numbers:
Using the result from earlier:
$21-i-2i^{2}$
Now since $i = \sqrt{-1}$ , then the expression becomes:
$21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i$

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Given the following: measure of arc a b equals measure of arc b c equals measure of arc c d. in circle f, what is the measure of ∠ ced ? a. 36° b. 18° c. 9° d. 72°

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