Answer:
The ages of the children are 6, 9 and 12.
Explanation:
Let x= the age of the youngest child.
If the oldest child is twice the age of the youngest, the age of the oldest child is twice x or 2x.
If the middle child is 3 years older than the youngest, the age of the middle child is x+3.
If the sum of their ages is 27, then
x+2x+x+3=27aaa(Combine like terms)
4x+3=27aaa
aa−3a−3aaa(Subtract 3 from both sides)
4x=24
4x4=24aaa(Divide both sides by 4)
Answer:
The length of CI is 10 units.
Step-by-step explanation:
It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.
The diagonals of a parallelogram bisect each other.


![[\because AI=CI]](https://tex.z-dn.net/?f=%5B%5Cbecause%20AI%3DCI%5D)



The value of x is 12.

Therefore the length of CI is 10 units.
Area of square = 15 x 15 = 225 cm^2
area of circle = pi r^2 = (3.14)(15)(15) = 706.5 cm^2
1/4 of circle = 706.5 / 4 = 176.6
so area of yellow region = 225 - 176.6 = 48.4 cm^2
answer
48.4 cm^2
Answer:
on the first triangle it is equal, 1.5 on the left of it is half of 3 on the right triangle, 5 on the left is half of 10 on the right triangle. so the answer is 8 becuase each side on the left is 2 times the side on the right
Step-by-step explanation:
hope this helps
Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720