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: 7.3
Step-by-step explanation:
The square root of 53 is 7.28010988928, and if you round that number to the nearest tenth it is 7.3.
Take the first 2 and take out -7x2. bringing it to (-7x2)(x-3)+(3x-9)
then take out 3 on the right side.
-7x^2 (x-3)+3 (x-3)
factors to (3-7x2)(x-3)
Answer:
44
Step-by-step explanation:
k=1: 2*1-4 = -2
k=2: 2*2²-4 = 4
k=3: 2*3²-4 = 14
k=4: 2*4²-4 = 28
-2 + 4 + 14 + 28 = 44
