Answer:
x < - 6
Step-by-step explanation:
Given
4x + 8 < 1 +(2x - 5) ← remove parenthesis
4x + 8 < 1 + 2x - 5, that is
4x + 8 < 2x - 4 ( subtract 2x from both sides )
2x + 8 < - 4 ( subtract 8 from both sides )
2x < - 12 ( divide both sides by 2 )
x < - 6
Answer:
2x =3
The hanger image given in the figure represents balanced equation.
Then we have to write an equation to represent the image.
In balanced form left side = right side
x + x = 1 + 1 + 1
2x = 3
Answer:

Step-by-step explanation:
A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:
, where
is the length of the shorter sides.
Solving, we get:
.
Plugging in
into
, we get:
.
Therefore, two sides have length
and two sides have length
.
Answer:
A
Step-by-step explanation:
Figure A is reflected over the x-axis to get Figure B. Reflection is a rigid transformation because it doesn't change the size/shape of a figure.
To find the volume of the tube you will use the formula for finding the volume of a cylinder.
V = pi x r^2 x h
3.14 x 0.5^2 x 21
V = 16.485 cubic inches
The approximate volume of the tube is 16.49 cubic inches.