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Pachacha [2.7K]
3 years ago
9

Give The measures of the angle that is complementary to the given angle

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

36°

Step-by-step explanation:

We know that

  • Sum of two complementary angles is 90°
  • Let the other angle be x
<h3>So</h3>

\rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\   \rm \dashrightarrow \: x = 36

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Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7
BigorU [14]

Answer:

y = -\frac14x + 8.5

Step-by-step explanation:

Hello!

A linear function is written in the form of y = mx + b, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • \frac{9 - 6}{-2 - 6}
  • \frac{2}{-8}
  • -\frac14

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • y = mx + b
  • 9 = -\frac14(-2) + b
  • 9 = 0.5 + b
  • 8.5 = b

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: y = -\frac14x + 8.5

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