<h3>
Answer: t = 43</h3>
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Explanation:
Inscribed angle ADB subtends the minor arc AB. Inscribed angle ACB subtends the same minor arc AB. The rule is that if two inscribed angles subtend the same arc, then they are the same measure.
We can prove this with the inscribed angle theorem which says
central angle = 2*(inscribed angle)
Let's say point E is the center of the circle. By the inscribed angle theorem, we know that,
angle AEB = 2*(angle ADB)
angle AEB = 2*43
angle AEB = 86
Then we go in reverse of this process to find angle ACB
angle AEB = 2*(angle ACB)
86 = 2*(angle ACB)
2*(angle ACB) = 86
angle ACB = 86/2
angle ACB = 43
So this is how we prove the two inscribed angles are congruent.
12.15 km /h
Step-by-step explanation:
Step 1 :
Given
Distance between Airy Town to Brightvale = 9 km
Speed of Ricky = x km/h
Step 2:
Speed taken by Sam = x + y km/h
Time taken by Sam = 40 min = 40/60 hrs = 2/3 hrs
so we have (x+y) 2/3 = 9
Step 3:
Speed taken by Timothy = x - y km / h
Time taken by Timothy = 50 min = 50/60 = 5/6 hrs
= > (x-y) 5/6 = 9
Step 4 :
Solving the 2 equations
(x+y) 2/3 = 9 and (x-y) 5/6 = 9 we have
(2/3)x + 2/3(y) = 9 = > 2x + 2 y = 27
5/6(x) - 5/6(y) = 9 = > 5 x - 5 y = 54
Multiplying the first equation by 5 and the second by 2 we have ,
10 x + 10 y = 135 and 10 x - 10y = 108
Adding both,
20 x = 243 => x = 12.15.
This gives speed of Ricky as 12.15 km /h
The answer is D. {-2, 2, 3, 4}
The heck, what math are you in?
