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jek_recluse [69]
3 years ago
15

What is the measure of EFG in 0 0 below?

Mathematics
2 answers:
const2013 [10]3 years ago
5 0

Answer:

C. 300

Step-by-step explanation:

EFG and EG is the total distance around the circle

EFG + EG = 360 degrees

EFG + 60 = 360

Subtract 60 from each side

EFG +60-60 = 360-60

EFG = 300

Gennadij [26K]3 years ago
5 0

Answer:

C. \widehat{GFE}=300^{\circ}

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of major arc EFG for our given circle.

First of all, we will find measure of arc GE.

We know that the measure of central arc is equal to its subtended arc. The measure of arc GS will be equal to measure of central angle GOE.

Since measure of central angle GOE is 60 degree, so measure of arc GE is 60 degrees as well.

We know that the circumference of circle is equal to 360 degrees. So we can set an equation as:

\widehat{GE}+\widehat{GFE}=360^{\circ}

60^{\circ}+\widehat{GFE}=360^{\circ}

60^{\circ}-60^{\circ}+\widehat{GFE}=360^{\circ}-60^{\circ}

\widehat{GFE}=300^{\circ}

Therefore, the measure of arc GFE is 300 degrees and option C is the correct choice.

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Reil [10]

Step-by-step explanation:

First, find the slope between the points.

m = (y₂ − y₁) / (x₂ − x₁)

m = (24 − 17) / (20 − 15)

m = 7/5

Next, write the equation in point-slope form, using either of the points.

y − 17 = 7/5 (x − 15)

If desired, simplify.

y − 17 = 7/5 x − 21

y = 7/5 x − 4

5 0
3 years ago
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets
solong [7]

Answer:

a=8

c=5.5

Step-by-step explanation:

solve simultaneously:

2a + 4c = 38.00

3a + 3c = 40.50

times the first eq. by 3 and the second by 2

6a + 12c = 114

6a +6c = 81

subtract from one another

6a + 12c = 114

-6a +6c = 81

6c = 33

c=5.5

3a + 3x5.5 = 40.50

3a= 24

a=8

7 0
3 years ago
What’s the answer? Some say 9, others say 1
zmey [24]
The answer should be 9.

After you solve what's in the parentheses, you solve the problem starting from left to right.

6÷2(1+2)
6÷2(3)
3(3)
9
8 0
3 years ago
Read 2 more answers
one morning the temperature is -28 in Anchorage, Alaska, and 65 in Miami, Florida. How many degrees warmer was it in Miami than
polet [3.4K]

since the first number is negative and the 2nd is positive just add the two together

-28 + 65 = 93 degree warmer in Miami

8 0
3 years ago
A group of 120 people touring Europe includes 45 people who speak French, 42 who speak Spanish, and 50 who speak neither languag
lianna [129]

Answer : P(\text{this group will speak both French and Spanish})=0.141666666

Explanation:

Since we have given that

n(U) = 120, where U denotes universal set ,

n(F) = 45, where F denotes who speak French,

n(S) = 42 , where S denotes who speak Spanish,

n(F∪S)' = 50

n(F∪S) = n(U)-n(F∪S) = 120-50 = 70

Now, we know the formula, i.e.

n(F∪s) = n(F)+n(S)-n(F∩S)

⇒  70    = 45+42-n(F∩S)

⇒ 70  =  87- n(F∩S)

⇒ 70-87 = -n(F∩S)

⇒ -17 = -n( F∩S)

⇒  17 = n(F∩S)

P(\text{this group will speak both French and Spanish})= \frac{17}{120}\\P(\text{this group will speak both French and Spanish})=0.141666666

3 0
3 years ago
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