First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180<span>°.
Simplify:
Subtract 118° to both sides:
We also know that all three angles of a triangle add up to 180<span>°. So we have:
Simplify:
Subtract 129° to both sides:
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Answer:
That bisect and are perpendicular
Step-by-step explanation:
To determine the length of time it would took for the biker to cool down, we need the rate that would relate the distance he traveled to cool down per units of time. For this problem, the rate is given as 0.25 miles per minute. So, we simply divide the total distance he traveled with this rate. We calculate as follows:
time to cool down = distance / rate
time to cool down = 35 miles / 0.25 miles / minute
time to cool down = 140 minutes or 2 hrs and 20 minutes
Therefore, the biker would need to cool down for about 2 hrs and 20 minutes if he traveled for 35 miles.
8+ the product of 2 and a number to the third power, what it means 2×m cubed. So it is 8+2m (cubed)
SOLUTION:
To begin with, let's establish that the formula of this line is in slope-intercept form as follows:
y = mx
The formula for this line isn't:
y = mx + b
This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:
y = mx + b
y = mx + 0
y = mx
Moving on, for ( m ), we need to find the gradient of the line as displayed below:
m = gradient
m = rise / run
m = 10 / 2
m = 5
Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:
y = mx
y = 5x
Therefore, the answer is:
A. y = 5x
