Answer:
54.25%
Step-by-step explanation:
The percent change is given by:
× 
Plugging all the values,
× 
%
Therefore, the percent change from 94 to 43 is 54.25%
Answer:
3x+2°=65° (vert opp angles)
3x=65°-2°
=63°
x=63÷3
=21
Answer:
D
Step-by-step explanation:
Given
x² + 6x - 9 = 0 (add 9 to both sides )
x² + 6x = 9
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 9 + 9
(x + 3)² = 18 ( take the square root of both sides )
x + 3 = ±
= ±
= ± 3
Subtract 3 from both sides
x = - 3 ± 3
→ D
Answer:
27
Step-by-step explanation:
81 ÷ 3 = 27
3 x 27 = 81
Answer:

Step-by-step explanation:
step 1
Find the ratio of the height of shape A to the height of shape B
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> surface area shape A
y----> surface area shape B
so

substitute


therefore
the ratio of the height of shape A to the height of shape B is equal to

step 2
Find the ratio of the height of shape B to the height of shape C
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> volume shape B
y----> volume shape C
so

substitute


therefore
the ratio of the height of shape B to the height of shape C is equal to

step 3
Find the ratio of the height of shape A to the height of shape C
we have


Multiply

so
