Step-by-step explanation:
(1) Create a table containing a few values of x and y
y - 3 = ½(x + 2)
y = ½(x + 2) + 3
x y
-10 -1
-6 1
0 3
6 7
10 9
(2) Plot your points
Draw dots at the coordinates of each point.
(3) Draw the graph
Draw a smooth line through the points.
Extend the line in both directions to the edges of the plot area.
Your graph of y - 3 = ½(x+2) should look like the figure below.
Have a beautiful day!
The y answers would be 11, 8, 5, 2, -1.
To find these parts of the table, we simply put the x value in for x and solve for y. The first two are done for you below.
WHEN x = -2
y = -3x + 5
y = -3(-2) + 5
y = 6 + 5
y = 11
WHEN x = -1
y = -3x + 5
y = -3(-1) + 5
y = 3 + 5
y = 8
A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.
B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.
C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89
Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees
Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
The answer is 1.5 or 1 1/2
Look at attached photo
first divide each line into the number as shown in the denominator
