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Ksju [112]
2 years ago
5

G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles

Mathematics
1 answer:
kiruha [24]2 years ago
7 0

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

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ololo11 [35]

Answer:

Step-by-step explanation:

c + f = 16......c = 16 - f

340c + 910f = 9430

340(16 - f) + 910f = 9430

5440 - 340f + 910f = 9430

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3 0
3 years ago
Quick algebra 1 question for 10 points!
Maslowich

The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.

<h3>What is the range of a quadratic equation?</h3>

In this case we have a <em>quadratic</em> equation whose domain is stated. The domain of a function is the set of x-values associated to only an element of the range of the function, that is, the set of y-values of the function. We proceed to evaluate the function at each element of the domain and check if the results are in the choices available.

x = - 9

y = (2 / 3) · (- 9)² - 6

y = 48

x = - 6

y = (2 / 3) · (- 6)² - 6

y = 18

x = - 3

y = (2 / 3) · (- 3)² - 6

y = 0

x = 0

y = (2 / 3) · 0² - 6

y = - 6

x = 3

y = (2 / 3) · 3² - 6

y = 0

x = 6

y = (2 / 3) · 6² - 6

y = 18

x = 9

y = (2 / 3) · 9² - 6

y = 48

The range of the <em>quadratic</em> function y = (2 / 3) · x² - 6 is {- 6, 0, 18, 48}.

To learn more on functions: brainly.com/question/12431044

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7 0
2 years ago
Here is a question for you
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Answer:

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Step-by-step explanation:

they simply combined the like terms (aka the x numbers in this case) so all that's left is 3/8

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Answer:

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Step-by-step explanation:

8 Divided by 3/5 = 8 times 5/3.

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40/3 = 13 1/3

4 0
3 years ago
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