Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5 → C
Step-by-step explanation:
24-12x,and 2(12-6x)
hope it helps
The commutative property of addition means the order of the addends doesn't matter; we get the same sum. In symbols

<span>11 + 7 = 7 + 11, choice B, is a good illustration of commutativity.
The next part asks us to use the commutative property. Looking at the choices, we see it's not the commutative property of addition we're to use, it's the commutative property of multiplication. Let's write that generally first:
</span>

Applying that, <span>(4 + 7) * 3 = 3*(4+7), again choice B.
</span>
Answer:
These two figures are similar because
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is
, and for the bigger figure the ratio is
which upon simplification reduces to
.
So we see that the ratios are equal. Thus the figures are similar.
Answer: 100 - 24x
Step-by-step explanation:
The formula for calculating the perimeter of a square is given by :
P = 4l , where l is the length of the side.
Perimeter of square A will be
P = 4 ( 2x - 7 )
P = 8x - 28
Perimeter of square B will be ;
P = 4 ( -4x + 18 )
P = - 16x + 72
Perimeter of square B - Perimeter of square A implies
-16x + 72 - ( 8x - 28 )
-16x + 72 - 8x + 28
collecting the like terms
-16x - 8x + 72 + 28
-24x + 100
⇒ 100 - 24x