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elena-s [515]
3 years ago
10

What is the relationship between Inscribed angle ABC and arc AC? mAC= ? x m < ABC

Mathematics
2 answers:
AysviL [449]3 years ago
6 0

Answer:

Step-by-step explanation:

The vertex of an inscribed angle can be anywhere on the circle as long as its sides intersect the circle to form an intercepted arc. The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent.

In a circle, two inscribed angles with the same intercepted arc are congruent. Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.

kap26 [50]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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Ten less than 5 times the value of a number is equal to 10 times the quantity of
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Answer:

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Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

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expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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