Answer:
x = 8
Step-by-step explanation:
m<PQR = (2x + 6)°
m<RPQ = (x - 7)°
m<QRS = (5x - 17)°
<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.
Therefore,
m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)
Substitute in the values
2x + 6 + x - 7 = 5x - 17
Add like terms
3x - 1 = 5x - 17
Collect like terms
3x - 5x = 1 - 17
-2x = -16
-2x/-2 = -16/-2
x = 8
Answer:
50
Step-by-step explanation:
Given
there is 1 water station at every 0.3 KM
If there are n water stations at every 0.3 KM
then KM covered by them = n*0.3 = 0.3n
given that total KM covered is 15 km
Thus,
0.3n = 15
=> n = 15/0.3 = 50
Thus, there are 50 water stations.
Answer:
(0, 4)
Step-by-step explanation:
Look carefully at the y-axis. What is the y-coordinate where the curve crosses the y-axis? It's y = 4. Thus, the y-intercept is (0, 4).
It just so happens that (0, 4) is also the maximum of the function represented here.