Answer:
25
Step-by-step explanation:
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
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Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Answer:
D
Step-by-step explanation:
C=2PI R
Radius is 24
pi is 3.14
Then you just solve it which turns out to be 150.8
Answer:
$22.34
Step-by-step explanation:
24 pennies is .24 of a dollar
62 nickels will be: (62 x 5) / 100 = 3.10
55 dimes is 5.5
16 quarters will be 4.0
19 fifty-cents will be 9.5
Add them up to get $22.34 if I’m right.
Hope this helped.
