Answer: x = 143 degrees, y = 37 degrees and z = 143 degrees
Step-by-step explanation: First of all, looking at the line where x is situated,
37 + x = 180 {Sum of angles on a straight line equals 180}
Subtract 37 from both sides of the equation
x = 143
Next, looking at the line where y is situated, we observe that angle y is opposite of angle 37. Opposite angles are equal, therefore
y = 37
Alternatively, since angles x and y lie on the same line, and x has been calculated as 143, then
y + x = 180
y + 143 = 180
Subtract 143 from both sides of the equation
y = 37
Also looking at the line where angle z is situated, angle z is opposite angle x. Opposite angles are equal. Therefore z = 143.
Alternatively angle z and angle 37 lie on the same line. Therefore,
z + 37 = 180
Subtract 37 from both sides of the equation
z = 143
So all three variables are
x = 143, y = 37 and z = 143
7 because if you multiply f by x you get 7
<h2>
The surface area of the cube is 0.375 square units.</h2>
Step-by-step explanation:
Given : The formula for the surface area of a cube is 
, where s is the length of one side of the cube if 
of a unit.
To find : What is the surface area, in square units, of the cube?
Solution :
The formula for the surface area of a cube is
We have given,
Substitute in the formula,
square units.
Therefore, the surface area of the cube is 0.375 square units.
Answer:
A) The number line goes from negative 8 to positive 8. At 0, there is an open circle. The number line is shaded to the left of 0 and on the left end of the shaded line there is a left-facing arrow.
Step-by-step explanation:
Given inequality: x < 0
open circle: < or >
filled circle: ≤ or ≥
Therefore, for x < 0 there will be an open circle at 0.
< means less than, so the number line will be shaded to the left of 0 and there will be a left-facing arrow on the end of the shaded line.
