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kari74 [83]
2 years ago
10

The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
madreJ [45]2 years ago
5 0

Answer:

45°

135°

Step-by-step explanation:

Let the measure of one angle be x

So, measure of its supplementary angle = 3x

\implies \: x  + 3x  = 180 \degree \\  \\  \implies \: 4x = 180 \degree  \\  \\\implies \: x = \frac{ 180 \degree}{4} \\  \\\implies \: x = 45 \degree \\  \\  \implies \: 3x  = 135 \degree

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The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
podryga [215]

Answer:

g(x)=-2\sqrt[3]x

or

g(x) = -2f(x)

Step-by-step explanation:

Given

f(x) = \sqrt[3]x

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

(x_1,y_1) = (-1,2)

(x_2,y_2) = (1,-2)

We can represent g(x) as:

g(x) = n * f(x)

So, we have:

g(x) = n * \sqrt[3]x

For:

(x_1,y_1) = (-1,2)

2 = n * \sqrt[3]{-1}

This gives:

2 = n * -1

Solve for n

n = \frac{2}{-1}

n = -2

To confirm this value of n, we make use of:

(x_2,y_2) = (1,-2)

So, we have:

-2 = n * \sqrt[3]1

This gives:

-2 = n * 1

Solve for n

n = \frac{-2}{1}

n = -2

Hence:

g(x) = n * \sqrt[3]x

g(x)=-2\sqrt[3]x

or:

g(x) = -2f(x)

4 0
3 years ago
Plss help mee answer my homework plss im begging u
vagabundo [1.1K]

Answer:

1.80 2.90 3. 135

Step-by-step explanation:

1. 80°

2. 90°

3. 135°

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