Answer:
x=33°
Step-by-step explanation:
Hi there!
We're given a triangle, with 2 known measures of angles in the triangle
54° and 93°
the other (unknown) value is x
the angles in a triangle add up to 180°
therefore, to find the value of x, we can add up the values of the 3 angles and set that to equal 180
54°+93°+x°=180°
add 54 and 93
147°+x°=180°
subtract 147 from both sides
x=33°
so the value of x is 33 degrees
Hope this helps!
F(x)= -4x+9
Multiply f*x
xF=9+4x
Solve for X: -4x+xF=9+4x-4x=0
Combine like terms: -4x+4x=0
-4x+xF=9+0= 9
-9+-4x +xF = 0.
Based on the information provided, it follows that there are 1,728 possible seating arrangements.
<h3>How can we find the number of possible arrangements?</h3>
To find the number of arrangements in this problem situation we must take into account the following key factors:
- Chris only has 1 possible seat.
- Jo has 2 possible seats.
- Dave, Alex, and Barb have 3 possible seats.
- Gareth, Fred, and Eddie have 3 possible seats.
- There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.
According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.
<h3>What is factoring?</h3>
A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.
In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:
- Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
- Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
- Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24
Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:
- Number of possibilities = 1 × 2 × 6 × 6 × 24
- Number of possibilities = 1728
Learn more about the factorial function in: brainly.com/question/16674303
As you move from each place to the left one place, the value increases by 10. If you move right a place, the value decreases by 10.
