Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
Answer:
No
Step-by-step explanation:
On a number line, the 0 is in the middle. Positive numbers are to the right of the 0 and negative numbers are to the left of the 0. A point farthest from 0 could be on the left side and therefore be really small. Therefore the point farthest from 0 is not always the greatest as it could also be the smallest
We know the total tickets sold = 400.
Let x be the number of adult tickets sold.
That means 400 - x is the number of student tickets.
The revenue from adult tickets will be $3 * x, which we can call 3x.
The revenue from student ticks will be $2 * (400 - x), or 800 - 2x.
The total revenue is $1050, so that means:
3x + (800 - 2x) = 1050.
Removing the parentheses:
3x + 800 - 2x = 1050
Subtracting 800 from both sides:
3x - 2x = 250
Simplifying the left side:
x = 250, which is the number of adult tickets.
400-x = student tickets = 400-250 = 150.
ALWAYS check!
In this case, check the revenue:
3x = 3(250) = 750
2(150) = 300
750 + 300 = 1050. Check!
Add all the numbers on the shape until you get your answer
