Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
The answer is negative 40 over 9
Answer:
9 years ago.
Step-by-step explanation:
Dotty is 51 years old and Esmerelda is 23 now.
Now, x years ago the age of Dotty was (51 - x) years and the age of Esmerelda was (23 - x) years.
Assume that x years ago Dotty was 3 times Esmerelda's age.
So, we can write the equation as
3(23 - x) = 51 - x
⇒ 69 - 3x = 51 - x
⇒ 69 - 51 = 3x - x
⇒ 18 = 2x
⇒ x = 9 years.
Therefore, 9 years ago Dotty was 3 times Esmerelda's age. (Answer)
Answer:
I think A
Step-by-step explanation:
Answer:
Volume of medication in the cup = 50.24 cubic inches
Step-by-step explanation:
Volume of the cylindrical cup = πr^2h
Radius, r = 2 inches
Height, h = 8 inches
Volume of the cylindrical cup = πr^2h
= 3.14 × 2^2 × 8
= 3.14 × 4 × 8
= 100.48
Volume of the cylindrical cup = 100.48 cubic inches
If David only fills the cup half way,
then, the volume of medication in the cup = Total volume of the cylinder / 2
= 100.48 inches / 2
= 50.24 cubic inches
volume of medication in the cup = 50.24 cubic inches
