That is the multipliative identity property.
Answer:
Option D.
Step-by-step explanation:
If two triangles ΔABC and ΔA'B'C' are similar then we take point C of ΔABC to find the transformation performed form C to C'.
Coordinates of C are (0, 3) and the coordinates of C' are (0, -1).
This shows that C is rotated 180° about origin to get the new coordinates as (0, -3) and then new coordinates were dilated by 1/3 which forms C' as (0, -1)
Therefore option D is the correct option.
Answer:
x = 10
, y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = 
, sin60° = 
, then
cos60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
sin60° = 
= 
= ( cross- multiply )
2y = 20 × 
= 20 ( divide both sides by 2 )
y = 10
Answer:
NM = 15
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is
(x + 3)² = (x - 3)(x - 3 + 16)
(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL
x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )
- 4x + 9 = - 39 ( subtract 9 from both sides )
- 4x = - 48 ( divide both sides by - 4 )
x = 12
Then
NM = x + 3 = 12 + 3 = 15
