Step-by-step explanation:
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- Set up an equation and solve for x :
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[ Exterior angle is always equal to the sum of two non - adjacent interior angles ]
~Remove the unnecessary brackets
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~Add the like terms : 2x ° & 3x°
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~Move 4x to right hand side and change it's sign
~Similarly move 12 to left hand side and change it's sign
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- Now , Substituting the value of x in (4x+9)° [ Exterior angle ]
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Cheetah ran 300 feet in 2.92 seconds.
Average speed in miles per hour.
Converting 300 feet to mile.
5280 feet = 1 mile
1 feet = (1/5280) mile
300 feet = (1/5280) * 300 = (300/5280) = (30/528) = (10/176) mile.
2.92 seconds to hour.
3600 seconds = 1 hour
1 second = (1/3600) hour
2.92 seconds = 2.92 * (1/3600) = (2.92/3600) hour.
Speed of Cheetah in miles per hour = (10/176) mile / (2.92/3600) hour
= 70.05 miles/hour
The equation y = –2 x + 3 represents the graphed function.
Answer: Option A
<u>Step-by-step explanation:</u>
As per the mapping points in the attached figure, A (0, 3) and B (1, 1)
Step 1: Find the slope of the line.
We know that the formula to calculate the slope between two points is equal to

. So, the slope ‘m’ would be

Step 2: Find the y-intercept
We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)
Step 3: Find the equation of the line into slope-intercept form
We know that the equation of the line into slope-intercept form is equal to
y = m x + b
We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get
y = - 2 x + 3
Hi, your answer would be 9/40...