Answer:Robert's minimum age is 11 years.
Step-by-step explanation:
Let x represent George's age.
Let y represent Edward's age.
Let z represent Robert's age.
George is twice as old as Edward. It means that
x = 2y
Edward's age exceeds Robert's age by 4 years. It means that
z = y - 4
If the sum of the three ages is at least 56 years, it means that
x + y + z ≥ 56 - - - - - - - - - - 1
Substituting x = 2y and z = y - 4 into equation 1, it becomes
2y + y + y - 4 ≥ 56
4y - 4 ≥ 56
4y ≥ 56 + 4
y ≥ 60/4
y ≥ 15
z = y - 4 = 15 - 4
z ≥ 11
Following the principle of supplements angles, the angle next to the 101 is 79°. 79+38+c(call the third angle c) = 180
c = 180-117 =63° x is supplemental to c so 180 = x +c
180=x + 63
x =117
Answer:
Step-by-step explanation:
Angle 1 is 55 degrees.
The whole angle of the upward left corner is 90 degrees.
Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.
Angle 2 is 35 degrees.
Answer:
D 12.57
Step-by-step explanation:
diameter = 4inches hence radius = 2inches
if the crust covers the full pizza "around", technically its the circumfrence
hence 2πr
2×π×2= 12.566 ~ 12.57
The initial value of the graph is where 
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and 
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.
