Help pls fast as u can
1 answer:
The number 72 should replace the question mark.
Step-by-step explanation:
Step 1:
First, we need to determine how the values inside the triangles were attained in terms of the outer values.
We get that summing the bottom values on the triangle and multiplying it with the value on top equals the value in the triangle.
For triangle 1,
For triangle 2,
For triangle 3,
Step 2:
By using the same method for the fourth triangle we have;
For triangle 4:
So the question mark equals 72.
You might be interested in
Answer:
The value of n = 4 and
The value of x =
Step-by-step explanation:
Method I:
As given, 12x -20=n (3x-5) .........(1)
Firstly , take 12x - 20
As 12x - 20 can be written as 4(3x - 5)
∴ equation (1) becomes
4(3x - 5) = n (3x-5)
Divide the equation by (3x-5) , we get
4 = n
Method II:
As given, 12x -20=n (3x-5)
⇒12x - 20 = 3nx - 5n
⇒12x - 3nx = 20 - 5n
⇒3x(4 - n) = 5( 4 - n)
Divide the equation by (4-n) , we get
3x = 5
⇒ x =
∴ we get
n = 4 and x =
Now, check that value of n and x satisfies the equation or not
12() - 20 = 4( 3(
) - 5)
⇒4(5) - 20 = 4(5 - 5)
⇒20 - 20 = 4(0)
⇒ 0 = 0
Hence , we get
The values of x and n satisfies the equation
so, we get
n = 4 and x =
Equation is converted to
<u>Step-by-step explanation:</u>
We need to complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k . Let's do this :
We have , following equation to convert as :
⇒
⇒
⇒
⇒
⇒
Comparing this to equation a(x-h)^2+k we get :
Therefore , Equation is converted to
.