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
Answer:
5
Step-by-step explanation:
10 and log5 cancel, because they're inverse operations.
Answer:
The answer to your question is: AC = 20
Step-by-step explanation:
Data
AB = 2x - 4
BC = 4x
AC = 2x + 12
AC = ?
AB + BC = AC
2x - 4 + 4x = 2x + 12
6x - 4 = 2x + 12
6x - 2x = 12 + 4
4x = 16
x = 16/4
x = 4
AB = 2(4) - 4 = 8 - 4 = 4
BC = 4(4) = 16
AC = 2(4) + 12 = 8 + 12 = 20
4 + 16 = 20
20 = 20