Lucian and Blake are taking their bikes out to a nature trail in the woods. They want to be out for no more than 6 hours, and they want to travel at least 40 miles between walking and biking. On average, they walk at a rate of 3 miles/hour and bike at a rate of 12 miles/hour. Which graph represents the number of hours Lucian and Blake can spend either walking or biking to meet their goals?

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

m∠abd = m∠dbc

step-by-step explanation:

given : ab bisects ∠dbc

as we know that bisection means ab divides   ∠dbc   in two equal angles named as   ∠dba and   ∠abc

so, m∠abd = m∠dbc  

because ab bisects ∠dbc.

hence , the first statement m∠abd = m∠dbc is true.