Answer:
Step-by-step explanation:
Given that the left angle = 
The right angle across from it 
The other two angles are x and x.
We know that the sum of angles at a point equals 360 degrees.
Therefore,
The value of x is approximately 38.5 degrees.
Answer:
X intercept: (7/2, 0)
Y intercept: (0, -7/3)
Step-by-step explanation: Add 7 to both sides. We get 2x-3y=7
Now, plug in zero for y, and we are left with 2x = 7 (the y cancels.) Dividing by 2 leaves us 7/2, and (0, 7/2)
Now starting back to 2x-3y=7
Plug in zero for x, and we are legt with -3y = 7 (the x cancels.) Divide by -3, and we get -7/3 and (-7/3, 0)
To write an improper fraction a mixed number you start by seeing how many times the denominator (bottom number) goes in to the numerator (top number). Since the denominator is 9 and the numerator is 29, 9 goes into 29 3 times. The left over numbers become the fraction of which is in simplest form.
<em>3 x 9 = 27</em>
<em>29 - 27 = 2</em>
<u>Mixed number: 3 2/9</u>
Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
