Answer:
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Step-by-step explanation:
we have

Solve for x
Adds 7 both sides


Divide by -3 both sides
Remember that
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so

The solution is the interval (-9,∞)
therefore
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Refer to the diagram shown below.
Let x = m∠ADB.
Because m∠BDC is 32° greater than m∠ADB, therefore
m∠BDC = x + 32°
Each angle of a rectangle is 90°, therefore
x + (x+32) = 90
2x + 32 = 90
2x = 58
x = 29°
x+32 = 61°
Answer:
m∠BDC = 61°
m∠ADB = 29°
Answer:
200.96 square feet
Step-by-step explanation:
The amount of fencing Scott will need to buy can be gotten by calculating the area of the circular rock garden .
Area of a circle is given by
Pi r^2
Where
r = radius
Given diameter of 16 feet
r = diameter/2
= 16/2
= 8 feet
Pi = 3.14
Therefore,
Area = 3.14 x 8^2
= 3.14 x 8 x 8
= 200.96 square feet
The amount of fencing Scott will need to buy is 200.96square feet
Answer:

Step-by-step explanation:
Assuming that a fair die is rolled.
- The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.
Let X be the set of all possible outcomes. Let A be an outcome.
So, the probability that A occurs is:

As the set of all possible outcomes of the roll of a single die is:

Observe that

Here
because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.
So, the probability must be zero.
In other words,


Therefore,

2. $5.10
4. 18%
I don't feel like doing 5 right now I'm watching hulu haha