Miguel biked 14 km in the same amount of time that linda hiked 10 km. miguel's rate was 4 km/h more than linda's. how fast did each travel

The first thing we must do is define a variable.

We have then:

x: Linda's speed.

Then, by definition, the time traveled is equal to the distance between the velocity.

We have then:

For Linda:

For Miguel:

Then, since time is the same, then:

Clearing Linda's speed we have:

Then, Miguel's speed is:

Linda's speed is 10 Km/h

Miguel's speed is 14 Km/h

positive

step-by-step explanation:

the quadrant is facing upwards

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).