Answer:
y = 11
Step-by-step explanation:
We use the definition of Supplementary Angles and Adjacent Angles.
Step 1: Set up equation 1 (Definition of Supplementary Angles)
5x - 4 +7x - 8 = 180
Step 2: Solve for <em>x</em>
12x - 4 - 8 = 180
12x - 12 = 180
12x = 192
x = 16
Step 3: Plug in <em>x</em>
5(16) - 4
80 - 4
76°
Step 4: Set up equation 2 (Definition of Supplementary Angles)
76 + 9y + 5 = 180
Step 5: Solve for <em>y</em>
9y + 81 = 180
9y = 99
y = 11
Answer:

Step-by-step explanation:
1) rewrite 60 as it's prime factors.

2) group the smae prime factors into pairs.

3) Rewrite each pair in exponent form.

4) use this role:


5) Simplify.

So, therefor, the answer is option 1.
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is

where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula

The distance A'B' is √10 =3.162 units
Answer:
You have a higher chance of getting an even number than a multiple of three. There are 3 even numbers and only 2 multiples of three.
Answer:
13.2/hour
Step-by-step explanation:
10% of 12 = 1.2
12+1.2=13.2