Answer:
A. 106 + 2x + 50 = 180
Step-by-step explanation:
A. 106 + 2x + 50 = 180. Correct.
B. 2x + 50 = 180. Incorrect. Angle is not a Straight Angle.
C. 2x + 50 = 106. Incorrect. That equals the first angle.
hope this helps.
Answer:
107 meters
Step-by-step explanation:
Central angle = 123°
In radians
123° = 123π/180
123° = 2.147 radians
Putting in formula
S = r∅
S = (50)(2.147)
S = 107 meters
Answer: Look below :)
Step-by-step explanation:
7. <u>AD</u> and <u>CD</u> are congruent. Each of the triangles are the same in length and shape (both are right triangles). They are the same but are mirrored over the line <u>BD.</u>
8. I have no idea. Sorry.
60 blocks in 30 min
18 blocks in 9 min
Method 1
60-18 = 42
42 blocks in 21 min
Method 2
30-9 =21 min
The sequence is geometric. Any exponential function models geometric growth. Recall the general nth term of a geometric sequence is a*(r)^(n-1) which is very similar to the form y = a*b^x. The big difference is that the x function is continuous while the function in terms of n is discrete. In this case, the common ratio is r = 1.10 to indicate we have 10% growth. Notice how 100%+10% = 1.00+0.10 = 1.10
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The first quadrant is where x and y are both positive. Since x is the time in years, it doesn't make sense to talk about negative years or negative years have passed by. We can have a negative balance in a bank account, so it makes sense to have y be negative. However, Mr Sullivan starts with some positive amount and his account grows every year. So there's no way that y can be negative in this case.
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The point (0,200) is the y intercept. It represents the starting amount he deposited into the account, which was the $200. Keep in mind that no other deposits were made, and he cannot pull money out of the account if he wants his account to grow according to the graph. Also, the interest rate must remain at 10%.
