Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
Required
Determine an equivalent or nonequivalent expression
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
<em></em>
<em /><em />
We have:
<em /><em />
Apply law of indices
<em /><em />
<em /><em />
<em>Evaluate the numerator</em>
<em /><em />
<em />
<em>This is an equivalent expression</em>
Given:
Length of the rectangle =
Width of the rectangle =
The perimeter of the rectangle is less than 140.
To find:
The inequality for the given situation and solve it.
Solution:
We have,
We know that, the perimeter of a rectangle is
It is given that the perimeter of the rectangle is less than 140.
Divide both sides by 4.
Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is .
Answer:
x = 4
Step-by-step explanation:
Given that DE is parallel to AC then DE divides the sides proportionally, so
=
, substitute values
=
( cross- multiply )
3x = 2(x + 2) ← distribute
3x = 2x + 4 ( subtract 2x from both sides )
x = 4