Answer:
Marc's age is 12
Step-by-step explanation:
Let
x ----> Marc's age
y ---> Tony's age
z ---> Ben's age
we know that
the sum of their ages is 40
so
-----> equation A
Marc is half as old as Tony
so
----> equation B
Marc is three times as old as Ben
so

----> equation C
substitute equation B and equation C in equation A

solve for x


therefore
Marc's age is 12
Answer: a=2 and b =-3
Step-by-step explanation: Good luck! :D
Answer:
5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
5
1
= 5
θ =
arctan( ΔY )
ΔX
= 78.69006752598°
ΔX = 1 – -3 = 4
ΔY = 2 – -18 = 20
Distance (d) = √ΔX2 + ΔY2 = √416 = 20.396078054371
Equation of the line:
y = 5x – 3
When x=0, y = -3
When y=0, x = 0.6
Answer:
∠CGD is 52°
Step-by-step explanation:
∠AGB is 90° and its corresponding ∠EGD is also 90°
90+38= 128
180-128= 25