Answer:
The eldest of them is Brian and he is 24 + 2 = 26 years old.
Step-by-step explanation:
Let
Malachy age = a
Brian age = a + 2
Caroline age = a - 8
Total of their age = a + (a + 2) + (a - 8)
66 = a + (a + 2) + (a - 8)
collect like terms
66 = a + a + 2 + a - 8
66 = a + a + a - 6
3a = 66 + 6
3a = 72
divide both sides by 3
a = 72/3
a = 24
Malachy age is 24 . Caroline is 24 - 8 = 16 years old.
The eldest of them is Brian and he is 24 + 2 = 26 years old.
Answer:
m∠C = 60°
Step-by-step explanation:
we know that sum of angles of a traingle is 18 degrees.
given
m∠A = 60°+α,
m∠B = 60°−α
we have to find m∠C
m∠A + m∠B + m∠C = 180
60°+α + 60° - α +m∠C = 180
+α and -α gets cancelled
120°+m∠C = 180
=> m∠C = 180° - 120° = 60°
Thus, measure of angle c is 60°.
Answer:
Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
