Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

You know that A'B'=6, then the scale factor of dilation can be calculated with:

Substituting values, you get:

This matches with the option C.
Answer:
x = 3
Step-by-step explanation:
To solve this equation, we can use basic algebraic techniques as illustrated.
3(x + 4) = 7x Distribute the 3.
3x + 12 = 7x Subtract 3x from both sides of the equation.
12 = 4x Rearrange the equation so the variables are on the left.
4x = 12 Divide by 4 on both sides of the equation.
x = 3
C I did that question right now.
Answer:
m = (c-2)/(a+b)
Step-by-step explanation:
am+ bm= c-2
Factor out m
m( a+b) = c-2
Divide each side by (a+b)
m( a+b) /(a+b)= (c-2)/(a+b)
m = (c-2)/(a+b)