Answer:
x =21
Step-by-step explanation:
So we know that:
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
Now, solve for x. Add 30 to both sides. The left side cancels:
Now, subtract 2x from both sides. The right cancels:
Thus, the value of x is 21.
Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
Answer:
523.33 mm³
Step-by-step explanation:
The general formula for the volume of a sphere is:
V = 
The radius for the given sphere is 5mm, so plugging that value into the equation and using 3.14 for π:
V = 
V ≈ 523.33 mm³
Answer:
6.087
Step-by-step explanation:
0.000
^ones
^tenths
^hundredths
^thousandths
