Answer:
x = 0, x = 1
Explanation:
3x^2 - x = 2x
3x^2 -x -2x = 0
3x^2 -3x = 0
3x(x-1) = 0
x = 0, x = 1
Triangle QST is an isosceles triangle. You can tell because two of the legs are congruent. Thus angle T is also an x-variable.
Add all of the degrees together, set them equal to 180 and solve for x.
x + x + 74 = 180
2x + 74 = 180
2x = 180 - 74
2x = 106
x = 53
This rules out options C and D.
Now we have to find angle PQS:
The measurements of triangle PQR are congruent to each other so 180 / 3 = 60 they are all 60 degrees.
Angles PQR, PQS, and SQT are in line with each other so they add up to 180.
60 + PQS + 74 = 180
134 + PQS = 180
PQS = 180 - 134
PQS = 46
Triangle PQS is another isosceles triangle. Thus, the two base angles are the same. We are going to add them together plus y and set it all equal to 180 to solve.
46 + 46 + y = 180
92 + y = 180
y = 180 - 92
y = 88
x = 53, y = 88. Your answer is option B
Answer:
v= -20
Step-by-step explanation:
Volume of the pyramid:
Perimeter of the cross-section:
Area of the cross-section:
First derivative test:
Then the height of the cross-section/pyramid is
The volume of the pyramid that maximizes the cross-sectional area is
Answer:
(20-3x)/2 GB
Explanation:
Total amount of data on my computer = 10GB
Total amount of data occupied by movies = x GB
If pictures take up half the amount of space that movies do, then;
Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x
If the remaining are music, the amount of space occupied by music will be expressed as shown;
Total space -(space occupied by movies + space occupied by pictures)
= 10 - (x+1/2 x)
Total amount of data occupied by music = 10 - (x+1/2 x) GB
On simplification;
= 10 - (x+1/2 x)
= 10-{(2x+x)/2}
= 10 - {3x/2}
= (20-3x)/2 GB
Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.