Answer:
The length of sides KM, LM and KN are 
and 16 respectively. The area of KLMN is 
square unit.
Step-by-step explanation:
According to given information: KLMN is a trapezoid, ∠N= ∠KML, 
, ME ⊥ KN, KE=8 
.
Use pythagoras theorem is triangle EKM
Let angle N and angle KML be θ.
Since angle KML and angle MKE are alternate interior angles, therefore angle MKE is θ.
In triangle KME,
.... (1)
In triangle KNE,
.... (2)
Equate (1) and (2),
The length of side KN is
Sides LM:KN are in the ratio 3:5. Let the side lengths are 3x and 5x respectively.
The area of KLMN is
Therefore length of sides KM, LM and KN are and 16 respectively. The area of KLMN is square unit.
Answer:
We can start by rewriting the initial equation x +10y=260 in order to express how y depends on x.
This is a linear function ( it's a straight line). Linear functions have two intercepts, y and x.
To find x-intercept (also called zero of a function) we set y=0 and we solve for x.
This means that at x=260 our function has a value of 0. y(x) represents a distance from the school. This means that when y(x) is 0 our athlete reached school (finished the race), so this also answers your second question. The time it takes an athlete to finish the race is 260 minutes.
The y-intercept a value of our function at x=0. This gives us a distance of our athlete from the school at the start of the race. We find this by plugin x=0 in our equation. We get that y=26 when x=0. This makes perfect sense. Our athlete is 26 miles away from high school at the start of the race.
Step-by-step explanation:
>, because .5 is greater that .0
Answer:
5 + 1.5x = total cost
Step-by-step explanation:
5 is for one pizza and x is for toppings. For every topping it is multiplied by 1.5. for example, if you have 2 toppings for one cheese pizza it would be 5 dollars + 1.5x2 which is 3 so 3+5=8$ in total.
