MATHEMATICS MIDDLE SCHOOL

Given: circle k(O), m FH = (31x+3°) m GH = (33x+3°) m∠FHG = (28x−3°) Find: m∠FGH

Answers

Answer 1

Answer:

Answer:

The measure of angle FGH is m∠FGH=48°

Step-by-step explanation:

step 1

Find the measure of arc FG in terms of x

we know that

The inscribed angle measures half that of the arc comprising

m∠FHG=(1/2)[arc FG]

substitute the given values

(28x−3°)=(1/2)[arc FG]

arc FG=(56x−6°)

step 2

Find the value of x

we know that

arc FG+arc FH+arc GH=360° -----> by complete circle

substitute the values

(56x−6°)+(31x+3°)+ (33x+3°)=360°

120x=360°

x=3°

step 3

Find the measure of angle m∠FGH

we know that

The inscribed angle measures half that of the arc comprising

m∠FGH=(1/2)[arc FH]

substitute the given values

m∠FGH=(1/2)[31x+3°]

m∠FGH=(1/2)[31(3)+3°]

m∠FGH=48°

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Kirk ordered a pizza with 10 slices. how many slices would amount to 30% of the pizza

Answers

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A survey was done where boys and girls were asked if they would prefer to play inside or outside. The results of the survey are shown in the two-way frequency table. What percent of the boys surveyed prefer to play inside?

Enter your answer to the nearest tenth of a percent.

Answers

25.2% of the boys surveyed prefer to playinside.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentagechange is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the percentage of boys surveyed who prefer to playinside, we need to look at the frequency table and locate the value for boys who prefer to play inside, which is 0.252.

To convert this value to a percentage, we need to multiply by 100:

= 0.252 x 100

= 25.2%

Therefore,

25.2% of the boys surveyed prefer to playinside.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ3

43.4%

Is correct. Have a good day!!

An art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall,with the same number of each type of art in each row.which of the following could be the number of rows?A 2 rows, B 3 rows, C 4 rows, D 6 rows

Answers

The question is asking us to determine the number of rows in which 18 paintings and 4 photographs could be displayed, such that there should be the same number of each type of art in each row. First we have to find the GCF ( the Greatest Common Factor ) of 18 and 4. 18 = 2 * 3 * 3 and 4 = 2 * 2. The prime factors of 18 are 2 and 3 and the prime factor of 4 is 2. Therefore GCF ( 18, 4 ) = 2. There could be 2 rows, with 9 paintings and 2 photographs in each. Answer: A . 2 rows.

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