Arc WTS is twice the measurement of angle R.
So arc WTS equals 2R
Arc WRS is twice the measurement of Angle T.
So arc WRS equals 2T
The sum of the two arcs WTS and WRS equal 360 degrees,
So now we have 2R + 2T = 360.
Divide all terms by 2:
R + T = 180
The sum of supplementary angles equal 180 degrees, therefore angles T and R are supplementary.
Use b for bicycles b and t for tricycles.
We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the
equation would be: 2b + 3t = 57
We can "separate" b by calling it "25 - t" as an alternative,
2(25 - t) + 3t = 57, or
50 - 2t + 3t = 57,
or 50 + t = 57, so
t = 7 So there must be 18 bicycles and 7 tricycles.
CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,
and 18 bicycles x 2 wheels, which is 36
36 + 21 = 57
9. Answer: x=4
Slope formula is y2-y1/ x2-x1. The slope will become undefined if the denominator, which is x, has a value of zero. That means the graph function would look like x=....
If the line passes point (4,3) equation of the line would be x=4
10. Answer: y=5
Slope formula is y2-y1/ x2-x1. The slope will become zero if the numerator, which is y, has a value of zero. The function would look like y=.....
The equation of the line that pass point (2,5) would be y=5
11. Answer: y=6
A line that parallel with x-axis would be a line with zero slopes and the function would be y=....
If the line passed through (1,6) the equation of the line would be y=6
12. Answer: x=-2
A line that parallel with y-axis would be a line with undefined slopes and the function would be x=....
If the line passed through (-2,4) the equation of the line would be x=-2
13. Answer: y=40
If y varies directly as x, the ratio of x:y would be kept same. It means, the ratio of y1/x1 will be equal to y2/x2. The coordinate is :
x1,y1= (5,10)
x2,y2= (20, ?)
The y when x=20 would be:
y1/x1=y2/x2
10/5= y2/20
y2= 2*20= 40
14. Answer: y=24
Same as above, if y varies directly as x, the ratio of x:y would be kept same. It means, the ratio of y1/x1 will be equal to y2/x2. The coordinate is :
x1,y1= (10,8)
x2,y2= (30, ?)
The y when x=30 would be:
y1/x1=y2/x2
8/10= y2/30
y2= 0.8*30= 24
15. Answer: x=60
If y varies directly as x, the ratio of x:y would be kept same. It means, the ratio of y1/x1 will be equal to y2/x2. Be careful because this problem is asking for x, not the y variable. The coordinate is :
x1,y1= (20,5)
x2,y2= (x2, 15)
The x2 when y=15 would be:
y1/x1=y2/x2
5/20= 15/x2
x2= 15 /0.25 = 60
<h2>
Hello!</h2>
The answer is:
The function that can be used to determine the total number of pages that she will read after "x" days is:

<h2>
Why?</h2>
From the statement, we know that Lisa's already read 15 plus 12 additional pages, that it's a fact that will not change over time. Also, we know that she is reading 5 plus 6 additional pages per day, so, the number of pages that she will read after "x" days.
So, determining the number of pages that she will read after "x" days, we have:
We are given that:

Then, writing the equation, we have:

Where,

Hence, the function that can be used to determine the total number of pages that she will read after "x" days is:

Have a nice day!
Find the probability of drawing 1 snicker first then the probability of drawing another snicker after that, then multiply them together. For the first choice, the probability of drawing a Snickers is 28/33 (snickers/total candy bars). For the second choice, there are only 32 candy bars left, 27 of which are Snickers. So that probability is 27/32, so...
The probability of BOTH things happening is their product 756/1,056 which is 63:88