We know that
The inscribed angle Theorem states that t<span>he inscribed angle measures half of the arc it comprises.
</span>so
m∠D=(1/2)*[arc EFG]
and
m∠F=(1/2)*[arc GDE]
arc EFG+arc GDE=360°-------> full circle
applying multiplication property of equality
(1/2)*arc EFG+(1/2)*arc GDE=180°
applying substitution property of equality
m∠D=(1/2)*[arc EFG]
m∠F=(1/2)*[arc GDE]
(1/2)*arc EFG+(1/2)*arc GDE=180°----> m∠D+m∠F=180°
the answer in the attached figure
The probability is 50 percent!
Hope this helped, and brainliest much needed and truly appreciated! Have an amazing day! :)
Answer:
d = 6t
Time required will be 3 hours.
Step-by-step explanation:
Lakelyn can swim at a rate of 250 yards every 5 minutes. She can run 6 miles an hour and bike 12 miles an hour.
Therefore, her running speed is 6 miles per hour.
Therefore, the function that models the running distance (d) in miles and the time span of running (t) in hours is given by
d = 6t ............. (1)
Using the above equation we can calculate the time required by her to run 18 miles.
So, 18 = 6t
⇒ t = 3 hours. (Answer)
Answer:
Equation ⇒ y = 50x + 100
The initial value = 100
Rate of change = 50
Step-by-step explanation:
The rest of the question is the table:
Hours: 1 3 5 ⇒ x
Number of people: 150 250 350 ⇒ y
By graphing the points as (x,y) ⇒ (1,150) , (3,250) and (5,350)
The table will represent a linear function
The general equation of the line ⇒ y = mx + c
where m is the rate of change
And c is the y-intercept or the initial value.
m = (y₂ - y₁)/(x₂ - x₁) = (350 - 250)/( 5 - 3) = 100/2 = 50
∴ y = 50x + c
at x = 1 y = 150
∴ 150 = 50 + c
∴ c = 150 - 50 = 100
∴ y = 50x + 100
See the attached figure.
The situation could represents a general institution introduces services to the people, at the beginning there are 100 people , and each hour the number of people increases 50 persons.
Ratio of boys to girls= 17:3
number of people= 740
to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.
17+3=20
740÷20=37
37×17=629
answer= 629
hope this helps....