Find two supplementary angels such that the measure of the first angle is 38° less than three times the measure of the second
Answers
angle 1+ angle 2=180 supplementary angles add up to 180
angle 2=x assign angle a variable
angle 1= 3x-38 find equation for first angle
3x+x-38=180 set both angles added together equal to 180
4x-38=180 combine like terms
4x=218 add 38 to both sides
x=54.5 divide by 4
angle 2= 54.5
angle 2= (3x54.5)-38 plug back in and solve
angle 1= 125.5
x-2nd angle
3x-38+x=180
4x-38=180
4x=218
x=54.5
First angle
3(54.5)-38
163.5-38
125.5
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One end of a line segment has the coordinates (1, 3). If themiddle point is (5,8), then what are the coordinates of theother endpoint?A (3,5.5)B (9, 12)C (12,5)D (9, 13)
Can someone please help me with this quick question
Solve x2 − 8x + 5 = 0 using the completing-the-square method.x = negative four plus or minus the square root of eleven x = four plus or minus the square root of eleven x = negative four plus or minus the square root of five x = four plus or minus the square root of five
Match the result of solving an equation to the number of solutions the equation has3 = 3no solution6 = 3infinitely many solutionsone solutionx=3
Semester 1: 78, 91, 88, 83, 94
Semester 2: 91, 96, 80, 77, 88, 85, 92
Which statement about Christopher’s performance is correct?
(1) The interquartile range for semester 1 is greater than the
interquartile range for semester 2.
(2) The median score for semester 1 is greater than the median
score for semester 2.
(3) The mean score for semester 2 is greater than the mean score
for semester 1.
(4) The third quartile for semester 2 is greater than the third
quartile for semester 1.
Answers
The answer is (2) because median means the number halfway into the set and the median for semester1 is 88 and the median for semester 2 is 77
(1) Semester 1's IQR is 8, and semester 2's IQR is 12, so that statement is incorrect
(2) Semester 1's median is 88, and semester 2's median is 88, so that statement is incorrect
(3) Semester 1's mean is 86.8, and semester 2's mean is 87, so that statement is correct.
Since that is correct, the answer is (3).
Answers
mounted 12 meters off the ground. The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up.
Now here's where things start to go awry:
The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .
20(t - pi/2) = 2pi
20t - 10pi = 2pi
20t = 12pi
t = 12pi/20 = 1.885 seconds
I can't help it. All I did was the math, and that was bullet-proof.
It was up to whoever wrote the question to guarantee that the
answer makes sense.
For one thing, I don't believe the 'pi/2' belongs inside the parentheses
with the 't'. But even if we take the 'pi/2' out of the parentheses, that
still only makes the period 3.183 seconds, which is still an uncomfortable
number ... especially for the riders.
Answers
W: math homework reulary
A: B average or better
U:Univers 100%
W∩A= the answer
Or #(W∪A)+#(W∩A)=#W+#A
or #(W∪A)=100-40=60
==>60+x=48+55
==>x=43
Answers
4 · n + 3 = 11
4n + 3 = 11 |subtract 3 from both sides
4n = 8 |divide both sides by 4
n = 2
Hence solved
Answers
1/2x=slope. 4= y-intercept
Answers
=> b + 3 > 12
Now,let’s combine this into an expression:
=> 8 < b+3 < 12
=> (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 butless than 12.