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
Oddly enough, when y=-1/3, the value of y is -1/3.
When x = -1/3, the value of y is
.. y = 3*(-1/3) -2
.. = -1 -2
.. = -3
When x = -1/3, the value of y is -3.
Answer:
28
Step-by-step explanation:
You multiply 7 and 8, and then divide it by two.
Step 1:Distribute -2 into 5 and 8
Step 2:Subtract 6x from both sides
Step3: Add 16 to both sides
Step 4: Divide -16 into 30
For the units positions of all numbers we have:

From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:

For the tens positions of all numbers we have:

The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.

Now we insert x and z to find out y:

Now we need to find out the product of these three numbers: