Answer:
2 Committees
Step-by-step explanation:
2 Committees and 3/4 of a committee
There are only 11 teachers so that means only 2 committees can be filled with 4 teachers if that is the max amount per committee.
There are more than enough students so no need to worry on them.
11 divided by 4 = 2.75
Answer:
x = 24
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.
Cross multiply to solve for x.
56(x+4) = 44.8(35)
56x + 224 = 1,568
56x = 1,344
x= 24
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:
2x + 12
Step-by-step explanation:
2(10)+2(x+4)
distribute the 2
20 + 2x - 8
add/ subtract like terms
2x + 12
Answer: (D) 7
Step-by-step explanation:
