Answer:
x = 7
Step-by-step explanation:
Let's join A & C . If points A ,B & C are collinear , then definitely B point's gonna lie on line segment AC .
So , AC = AB + BC
In the question , length of AC = 3x + 3 , length of AB = 2x - 1 ( or -1 + 2x)
& length of BC = 11.
We know that AC = AB + BC . So putting the given values here :-

Solving this linear eqn. gives

Simplify the expression : 42x + 116
Hope this helps!
Have a great day!
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
40 and 60
40 = 20 x 2
60 = 20 x 3
GCF = 20
<span>the greatest number of teams coach can make is 20
each team can have 2 girls and 3 boys</span>