Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer: 
Step-by-step explanation:
Given
Marcos purchased a sailboat for 
Each year the boat will decrease in value by 
After 1 year it is

after another year it becomes

After
years it is


Answer:
The value of x is 3/2.
Step-by-step explanation:
Given data in the question:-

We have to find the value x.
Let
be eq(i).
Solving eq (i)

using the properties of the exponents we have
if aⁿ=aˣ
then n=x

Hence the answer is 3/2.
1/6 because 3 goes into 3 once, and 3 goes into 18 6 times. So the fraction is 1/6
You have r^2 = 64 and want to find the square root of 64, which we'll call r.
√(r^2) = r = plus or minus √64
or: r = plus or minus 8