Solve for x and find m∠FGH

Mathematics

1 answer:

mel-nik [20]3 years ago

3 0

Answer:

x° = 11°

Z FGI = 60°

Step-by-step explanation:

If GH bisects Z FGI

then Z FGH = Z HGI

  or, (3x - 3)° = (4x - 14)°

or, 3x° - 4x° = - 14° + 3°

or, x° = 11°

Z FGI = 33° - 3° + 44° - 14°

 =  60°

You might be interested in

A group of children share 11 3/7 vegetarian pizzas. Each child receives 10/14 of a pizza. How many children are in the group

7nadin3 [17]

8 children because
11 3/7 is equal to 83/14
If each child receives 10/14
83/10
= 8.3
There can't be .3 of a child so round it and you get 8!
Hope this helps!

5 0

3 years ago

After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last

Georgia [21]

Answer:

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317; we can use this result to support her charge of gender discrimination.

Step-by-step explanation:

If we are assuming that the women and the men are equally qualified, then the probability for each employee that is hired the probability for it to be a women should be 1/2. Note that the fact that more men that women are hired in a sample might not be disctrimination: for example, if 2 men are hired out of 2 employees, that can happen with probability 1/4, so it is quite common. In order to support her charge for gender discrimination, we need at least a probability less that 0.05 that 5 (or less) women are hired out of 19 employees.

Since each configuration is equally probable, we will count the total amount of possible cases that 5 or less women are hired, and dividide it by the total amount of cases, 2¹⁹.

0 women hired: one possible case: every employee is male
1 women hired: 19 possible cases
2 women hired: ${19 \choose 2} = 171$ possible cases
3 women hired: ${19 \choose 3} = 969$ possible cases
4 women hired: ${19 \choose 4} = 3876$ possible cases
5 women hired: ${19 \choose 5} = 11628$ possible cases

Thus, there are a total of 11628+3876+969+171 = 16644 possible cases out of 2¹⁹ ones. All of them with seemingly equal probability. As a consequence, the probability of 5 or less women to be hired out of 19 employees, assuming that the probability to hire 1 is 1/2, is

16644/2¹⁹ = 0.0317 < 0.05

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317. Since the probability is so low, we can conclude that for the employer, a woman equally qualified as a man is less likely to be hired, therefore, we can support her charge of gender discrimination.

6 0

3 years ago

A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during

Dimas [21]

Answer:

It takes the frog 7 hours to get out of the well.

Step-by-step explanation:

We know that the well is 11 feet deep and the frog can climb 3 feet per hour.

Each time it climbs, it rests for an hour, and decreases its height by 1 foot.

So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.

Lets calculate with the same pattern:

1st hour: 3 feet