The value of x is calculated as 30.
The value of y is calculated as 28.
What is the measure of angle x and y?The measure of x and y is calculated by applying the following circle theorem as follows;
If line XZ is the diameter of the circle, then angle XYZ will be equal to 90 degrees.
The value of x is calculated as;
3x = 90
x = 90 / 3
x = 30
The value of y is calculated as follows;
2y + 34 = 90 (complementary angles sum up to 90 degrees)
2y = 56
y = 56/2
y = 28
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Hayden bikes 1.8 miles in 6 minutes. His friend Jordan bikes 3.2 miles in 8 minutes. Part A: Who bikes at a faster speed? Explain your answer.
Jordan bikes at a Faster speed than Hayden because he covers a greater distance in the same amount of time.
To determine who bikes at a faster speed, we can compare the rates at which Hayden and Jordan cover distance over a given time period.
Hayden bikes 1.8 miles in 6 minutes, which can be expressed as a rate of 1.8 miles / 6 minutes = 0.3 miles per minute.
Jordan bikes 3.2 miles in 8 minutes, which can be expressed as a rate of 3.2 miles / 8 minutes = 0.4 miles per minute.
Comparing the two rates, we can see that Jordan bikes at a faster speed. Jordan covers a greater distance (3.2 miles) in the same amount of time (8 minutes) compared to Hayden, who only covers 1.8 miles in 6 minutes. Therefore, Jordan's rate of 0.4 miles per minute is greater than Hayden's rate of 0.3 miles per minute, indicating that Jordan bikes at a faster speed.
In summary, Jordan bikes at a faster speed than Hayden because he covers a greater distance in the same amount of time.
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