I think it’s 220m. Since 5 rounds are equal to 1100m then you divide by 5 to see how much he covers in one
Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
See below
Step-by-step explanation:
32. w + 5 = -20
w = -20 - 5
w = - 25
33. x - 17 = -32
x = -32 + 17
x = - 15
34. t + 7.2 = 1.65
t = 1.65 - 7.2
t = - 5.55
35. -0.4 = g - 4.9
g = - 0.4 + 4.9
g = 4.5
36. y - 2/5 = 1 3/5
y = 1 3/5 + 2/5
y = 1 5/5 or 2
37. -5 1/6 = 2 1/3 + p
p = - 5 1/6 - 2 1/3 convert 1/3 to x/6 for a common denominator
1/3 converts to 2/6
p = -5 1/6 - 2 2/6
p = - 7 3/6 or - 7 1/2
38. You were given that
Simone = $65.35 + Dan
Simone = Carly - 37.50
Carly = 127.75
So Simone = 127.75 - 37.50 = 90.25
Simone = 65.35 + Dan or Dan = Simone - 65.35
Dan = 90.25 - 65.35 = 24.90
Answer:
1/2 is the slope of the line
Step-by-step explanation:
To find slope, use the following equation
slope (m) = (y₂ - y₁)/(x₂ - x₁)
First, set each coordinate. Let:
(x₁ , y₁) = (8 , -6)
(x₂ , y₂) = (4 , -8)
Plug in the corresponding numbers for the corresponding variables.
m = (y₂ - y₁)/(x₂ - x₁)
m = (-8 - (-6))/(4 - 8)
Simplify. Note that two negative signs would result in a positive sign.
m = (-8 + 6)/(4 - 8)
Combine like terms.
m = -2/-4
Simplify. Divide common factors from both the numerator and denominator.
m = (-2/-4)/(-2/-2) = 1/2
1/2 is the slope of the line
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