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noname [10]
2 years ago
10

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?

Mathematics
1 answer:
den301095 [7]2 years ago
5 0
Answer: 23 degrees

---------------------------------------
---------------------------------------

Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees

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Step-by-step explanation:

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The sum of a number 8 and twice the number X is 28
hichkok12 [17]

<u><em>ANSWERS ARE AT THE BOTTOM</em></u>

<u><em></em></u>

<u><em>To solve this question, we need to write the questions algebraically. Let's look at the problem first: The sum of a number 8, and twice the number x is equal to 28.</em></u>

<u>Algebraic form:</u>

8 + 2x = 28

<u><em>Lets solve this!</em></u>

<u><em></em></u>

8 + 2x = 28            (Algebraic Form)

2x = 28 - 8             (Subtract 8 from both sides)

2x = 20                  (Divide by 2)

<u><em>x = 10</em></u>                     (Answer)

<u><em>ANSWER:</em></u>

<u><em></em></u>

<u><em>x = 10</em></u>

3 0
2 years ago
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