x = 8
Solution:
Side-splitter theorem:
<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>
Do cross multiplication, we get
⇒ 4 × 42 = 21x
Divide by 21 on both sides, we get
⇒ 4 × 2 = x
⇒ 8 = x
Switch the sides.
⇒ x = 8
The value of x is 8.
Am presuming you are asking for the length of each ribbon in feet.
5 of them = 2 yards.
1 of them = 2/5 = 0.4 yards.
But note 3 feet make 1 yard.
Therefore: 0.4 yards = 0.4 * 3 feet = 1.2 feet.
The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle
area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x
so the area of the shaded region is 60y-15x
the GCF is 15, so the factored form is: 15(4y-x)
Answer:
2x + 12
Step-by-step explanation:
Given that, 
= 39
We will find the second term 
Similarly,
Now we use the option checking method,
Suppose we check 4th option
a_{n}= 6n + 33
for n=1
= 6(1) + 33 = 39
It means option D is correct
