Answer:
The correct answer is 54.
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
Substitute x = 1 and y = 6 into equation,
Therefore substituting m and c value, equation of line is
Answer:
Step-by-step explanation:
So the ratio is 5:4:2
there are 11 parts to this ratio (5+4+2)
the 5 is for the $2, the 4 is for the $1 and the 2 is for the 50 cents
he has 30 of the 50 cents
so you divide 30 by 2 to get one part of this ratio
1 part of this ratio is equal to 15 coins
multiply 15 by 5 to get the number of $2 coins: 75
multiply 15 by 4 to get the number of $1 coins: 60
add all of those parts together
30+60+75 = 165
If he uses a $1 coin to buy the sundae he will have 75 $2 coins and 59 $1 coins left
however, if he uses two 50 cents coins to buy the sundae he will have 75 $2 coins and 60 $1 coins left
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:
sorry I'm late but it's b I'm on unit test on edge
