Answer:
Step-by-step explanation:
1st one is true and second one false.
Answer:
a=50 b=20
Step-by-step explanation:
Call A and B the 2 present ages.
Ten years from now, A is twice as old as B -->
(A + 10) = 2(B + 10) (1)
Five years ago, A was 3 times as old as B -->
(A - 5) = 3(B - 5) (2).
Solve the system (1) and (2).
From (2) --> A = 3B - 15 + 5 = 3B - 10.
Replace this value of A into (1) -->
3B - 10 + 10 = 2B + 20 --> B = 20. Then,
A = 3B - 10 = 60 - 10 = 50.
Check
!0 years from now --> A = 60 and B = 30 --> A = 2B .OK
5 years ago --> A = 45 and B = 15 --> A = 3B. OK
Answer: Choice B) 128
Explanation:
We'll add up the given arc measures and then cut the result in half to get the angle formed by the intersecting chords (that subtend the arcs in question).
chord angle = (arc1+arc2)/2
x = (54+202)/2
x = 256/2
x = 128
160oz. This is because, knowing that there are 16oz in one pound, you can multiply 16 by how many pounds you have to get the oz measurement. In this problem, we multiplied 16 by 10, getting 160oz.
