First you need to find the y-intercept, which is y = -1
Next is we need to find the slope of the line > you are going to have to do this by finding to clear point
The ones that I will be using are: (3, 1); (6, 3) (You could take any points)
Now using the slope formula we could find m.
m = y2-y1 / x2-x1
(1 - 3) / (3 - 6) = m
-2 / -3 = m
m = 2/3
Using the linear function format: y = mx + b
Therefore the equation of the line is y = 2x/3 -1
In the example given, we see there are 14 trout out of 50 fish. This can be written as 14/50. You then make the bottom number equal 7500, and multiply the top number by the same amount to get the answer. In this case, 7500 ÷ 50 = 150. So then we just do 14 × 150 = 700, and 700 is your answer. Hope this helped!
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
Answer:
The length of the arc is 7.536cm
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 6cm
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 6cm
c = 37.68cm
The length of the circumference is 37.68cm
Now we calculate the fraction that corresponds to this arc with the rest of the circumference
(2 pi /5) / (2pi) = 1/5
now we multiply the circumference by the fraction
37.68cm * 1/5 = 7.536cm
The length of the arc is 7.536cm
