Answer:
D. x <= -3 or x >= 5
Step-by-step explanation:
3 | x-1 | > = 12
3(x - 1) >= 12
3x - 3 >= 12
3x >= 15
x >= 5
or
-3(x - 1) >= 12
-3x + 3 >= 12
-3x >= 9
x <= -3
Answer
x <= -3 or x >= 5
Answer:

Step-by-step explanation:

Answer:
m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles
Step-by-step explanation:
∵ m∠ABE = m∠CBD
∵ m∠ABD = m∠ABD + m∠DBE
∵ m∠CBD = m∠CBE + m∠EBD
∵ ∠EBD is common angle between them
∴ m∠ABD = m∠CBE
Answer:
27 and 16
Step-by-step explanation:
x + y = 43
x - y = 11
You can add up the two equations so the ys are cancelled out.
2x = 54
x = 27
Plug x in to find y.
27 - y = 11
y = 16
It is given that John wants to find the center of a wall so he can hang a picture. So, John measures the wall and <u>determines</u> it is 65.25 inches wide. Since John has determined that the wall measures a particular amount that means that John has <u>quantified</u> the width of the wall, which in this case comes out to be 65.25 inches.
Again, this is a single number. This means that the width of the wall is a <u>discrete</u> quantity.
Thus, 65.25 inches or 65.25" is a Quantitative and Discrete type of data. Thus, out of the given options, the first option is the correct one.