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sergeinik [125]

3 years ago

5

Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find

the measure of both angles.

1 answer:

sashaice [31]3 years ago

5 0

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

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aleksandrvk [35]

Answer:

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Step-by-step explanation:

Given data in the question:-

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3 years ago

A tree is 7 ft tall when it is planted and this type of tree grows two feet per year. How tall will the tree be in 6 years? How

s344n2d4d5 [400]

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3 years ago

Which expression is equivalent to 2−35,? Choose 1 answer:

sleet_krkn [62]

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Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Let f(x) = x+2/x+6 <br> f^-1(-6) =

GREYUIT [131]

We can explicitly find the inverse. If $f^{-1}(x)$ is the inverse of $f(x)$ , then

$f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x$

Solve for the inverse :

$\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x$

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$f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}$

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We have

$\dfrac{x+2}{x+6} = -6$

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$x + 2 = -6x - 36$

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Step-by-step explanation:

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