Every year, Liberty High School holds a relay race during a field day. If y represents the winning time for the relay race in seconds and x represents the number of years after 2000, then the equation y=−0.09x+12.94 can be used to model the winning times in the relay race at the Liberty High School field day after 2000. According to the linear model, what was the winning time in the relay race in seconds at the Liberty High School field day in 2007?

12.85 seconds

12.31 seconds

12.22 seconds

12.04 seconds

step-by-step explanation:

probability for j is 1/4

while

a is 1/6

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

bull

step-by-step explanation: