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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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The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

<h3>What is theoretical probability?</h3>

Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.

Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.

  • The total number of names are 5.
  • The total number of names chosen are 4.

The total number of ways 4 names can be taken out from 5 names is,

^5C_4.

Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.

Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is

^4C_3.

The theoretical probability that Chandra will be chosen as one of the science fair participants is,

P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%

Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

Learn more about the theoretical probability here;

brainly.com/question/8652467

#SPJ1

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