Answer:
x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees
Step-by-step explanation:
Finding x:
You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.
6x + 2 + 8x + 6 + 7x + 4 = 180
21x = 168 --> x = 8
Angle AFE:
Substitute the value of x in the given measure.
7x + 4 = 7*8 + 4 = 56 + 4 = 60
Measure of angle CFD:
Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.
Answer:
continuous.
Step-by-step explanation:
Given function is 
.
and value of a = 7.
Now we need to find if the given function is continuous or not.
By definition of continuity, we know that a function is continuous at a given point if both left and right hand limits are equal.
Left Hand Limit = LHL
Right Hand Limit = RHL
Since both limits are equal at a=7 so we can say that given function is continuous at a=7
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
a) There will be approximately a water depth of 7.5 meters after 3h
b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.
Step-by-step explanation:
a) Look for the y-value when the x-value is 3.
b) Look for the x-value when the y-value is 8.
*The y-axis is the depth (m), and the x-axis is the time (h).
Answer:
1149.8 m³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here diameter = 13, thus radius = 13 ÷ 2 = 6.5
V = × 3.14 × 6.5³
= × 3.14 × 274.625
= 
≈ 1149.8 m³ ( to the nearest tenth )
