Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The point P is the center of the circle (the drawing is not a scale )
step 1
Find the measure of angle ∠CPD
we know that
---> by supplementary angles (form a linear pair)

step 2
Find the measure of arc DC
we know that
<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
----> by central angle
therefore

The linear equation that represent the left balance of sanjaya’s y after visiting x number of days is:
y = 10x + 500.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
From the data given, we have that:
- The y-intercept is of 500.
Hence the balance is given as follows:
y = 10x + 500.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
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Answer:
B. 5 rolls
Step-by-step explanation:
The areas of the room, not including the ceiling, are discriminated as follows:
Longer walls:
(6 inches equals one foot)
Shorter walls:
(6 inches equals one foot)
Window area: 
Door area: 
Area that will be effectively covered:
Total area to wallpaper: 
Amount of paper needed: 
That is, the area of a roll of paper is 
Number of rolls needed:
rolls
Answer:
17
Step-by-step explanation:
multiply both sides of the equation by 8
k + 31 = 48
move the constant to the right-hand side and change its sign
k = 48 - 31
subtract the numbers
k = 17