Find the value of each variable

Find The Value Of Each Variable

Answers

Answer 1

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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Related Questions

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.

Answers

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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