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scZoUnD [109]
3 years ago
11

What is true regarding two adjacent arcs created by two intersecting diameters?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Given:

Two diameters intersect each other.

To find:

The correct statement regarding two adjacent arcs created by two  intersecting diameters.

Solution:

We know that, two diameter intersect each other at origin and measure of arc is equal to the corresponding angle generated by the intersection of diameters.

If two lines intersect each other then we get 4 angles and sum of any two adjacent angles is 180°.

It means the sum of any two adjacent central angles generated by the intersection of diameters is 180°.

So, the sum of two adjacent arcs created by two  intersecting diameters is 180°.

Therefore, the correct option is C.

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Answer: Option C: 0.03125

Step-by-step explanation:

we have an exponential equation, so we have:

f(x) = A*r^x

we have that:

f(1) = A*r^1 = A*r = 0.5

f(2) = A*r^2 = 0.25

f(3) = A*r^3 = 0.125

f(4) = A*r^4 = 0.0625

f(5) = A*r^5 = ?

we want to find the value f(5)

first, let's take the quotient:

f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.

then we have:

f(x) = A*0.5^x

and f(1) = A*0.5 = 0.5

then A = 0.5/0.5 = 1.

now we know that our function is f(x) = 0.5^x.

then, if we want to find f(5) we have:

f(5) = 0.5^5 = 0.03125

Then the correct option is option c.

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