Answer:
x = 13
Step-by-step explanation:
Sum or interior angles of a triangle is 180,
6x + 19 + 5x - 15 + 3x - 6 = 180
6x + 5x + 3x + 19 - 15 - 6 = 180
14x + 19 - 21 = 180
14x - 2 = 180
14x = 180 + 2
14x = 182
x = 182 / 14
x = 13
Step-by-step explanation:
Circumference of a circle is 2piR
C=2piR and R=10
C=2(3.14)(10)
So the circumference is 62.8 cm
Answer:
.
Step-by-step explanation:
Given the statement
If
, then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
.
Answer:
They have the same x value.
Step-by-step explanation:
Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

Add -12 to both sides:


Divide both sides by 2


Hence Jeff mows 9 yards of lawn in 30 minutes.