Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
Let's establish the two equations we will be using to solve the problem.
Let present age of father = f
Let present age of son = s
Equation No. 1 -
f = 3s
Equation No. 2 -
f + 15 = 2s
To begin with, we will substitute the value of ( f ) from the first equation into the second equation to solve for ( s ).
Equation No. 2 -
f + 15 = 2s
( 3s ) + 15 = 2s
3s - 2s = - 15
s = - 15
Next we will substitute the value of ( s ) from the second equation into the first equation to solve for ( f ).
Equation No. 1 -
f = 3s
f = 3 ( - 15 )
f = - 45
FINAL ANSWER:
Therefore, the present age of the father is - 45 years old.
It isn't possible for someone to be negative years old but this is the answer that I obtained from the equations.
Hope this helps! :)
Have a lovely day! <3
Answer:
2
Step-by-step explanation:
7 ( 2 e - 1 ) - 3 = 6 + 6 e
Expand brackets
14 e - 7 - 3 = 6 + 6 e
Simplify
14 e - 10 = 6 + 6 e
Minus 6 e from both sides
8 e - 10 = 6
Add 10 on both sides
8 e = 16
Divide by 8 from both sides
e = 2
Euclid
he's also known as the father of geometry
The measure of ∠FDE = 18°
<u>Explanation:</u>
A Pentagon has 5 sides and is made of 3 triangles
So, sum of the interior angles of the triangle = 180°
Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°
A regular pentagon will have all its angle equal
All the five angles would make 540°
Let the measure of one angle = x
So,
5x = 540°
x = 108°
Therefore, the measure of each angle of a pentagon is 108°
From the diagram,
∠AED + ∠FED = 180°
∠AED = 108° as it is one of the sides of the pentagon
So,
108° + ∠FED = 180°
∠FED = 72°
In ΔEFD,
∠FED + ∠EFD + ∠FDE = 180°
72° + 90° + ∠FDE = 180°
∠FDE = 18°
Therefore, the measure of ∠FDE = 18°