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irina [24]
3 years ago
5

The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain a

nd range of this solution
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

Domain : 0° < x <90°

Range: 90° < y < 180°.

Step-by-step explanation:

When we have a function:

f(x) = y

the domain is the set of the possible values of x, and the range is the set of the possible values of y.

In this case we have:

x + y = 180°

such that x < y

Let's analyze the possible values of x.

The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.

Knowing this, we can find the maximum value for y:

0° + y = 180°

y = 180° is the maximum of the range.

Then we have:

0° < x

y < 180°

To find the other extreme, we can use the other relation:

x < y.

Then, we can impose that x = y (this value will not be either in the range nor the domain)

if x = y then:

x + y = x + x = 180

2*x = 180

x = 90°

This will be the maximum of the domain and the minimum of the range.

Then we have that the domain is:

0° < x <90°

And the range is:

90° < y < 180°.

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ra1l [238]

Answer:

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Step-by-step explanation:

Given the 2 equations

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x + 4y = 25 → (2)

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Substitute x = 25 - 4y into (1)

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y = \frac{66}{16} = \frac{33}{8}

Substitute this value into (3) for corresponding value of x

x = 25 - 4 × \frac{33}{8} )

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Solution is ( \frac{17}{2}, \frac{33}{8} )

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3 years ago
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6.3

Step-by-step explanation:

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