Answer:
Step-by-step explanation:
Note that:
Two angles are Complementary when they add up to 90 degrees
Two angles are supplementary when they add up to 180 degrees
Let the angle = x
If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.
90 - x = 180 - 4x
Answer:
D. {x:-8≤x<-5}
Step-by-step explanation:
x≥-8
x={-8,-7,-6,-5,-4,-3,-2,-1,0...}
x<-5
x={-6,-7,-8,-9,-0...}
Numbers equal to or less than -8 are also less than -5
Hope it helps ;) ❤❤❤
Answer:
10 sides.
Step-by-step explanation:
Two same interior angles + 72 degrees = 360.
Thus, the interior angle of the polygon is 
.
The formula to find the interior angle of a polygon is 
Multiply both sides by n:
Expand:
Add 360 to both sides:
Subtract 144n from both sides:
Divide both sides by 36:
Answer:
Io
Step-by-step explanation:
Earth's moon makes a person weigh about 1/6 of their Earth weight. Io makes a person weigh more than that, because 1/6 of 150 pounds is 25 pounds.
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
================================
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
