Answer:
angle NKP = 60 degrees
Step-by-step explanation:
A line will always equal 180 degrees
If angle JKM and angle MKN are complentary, that means they will add up to 90. Since angle JKM is 40 degrees, angle MKN must be 50 degrees
Angle LKP is 30 degrees
Form an equation:
180 = 40 + 50 + 30 + angle NKP
Combine like terms
180 = 120 + angle NKP
Subtract 120 from both sides to isolate the unknown angle
60 = angle NKP
Answer:
- 3rd quadrant: 210°
- 4th quadrant: 330°
Step-by-step explanation:
The equation can be rearranged by subtracting 1, then dividing by 2. Doing so gives you ...
... sin(x) = -1/2
The sine of an angle is the y-coordinate of the point where its terminal ray intersects the unit circle. A horizontal line at y=-1/2 intersects the unit circle in two places. (Refer to the attached diagram.) In each case, the reference angle (the smallest angle made with the x-axis) is 30°.
Conventionally, we measure angles counterclockwise from the +x axis, so the 3rd-quadrant angle (between 180° and 270°) will be 180°+30° = 210°.
The 4th-quadrant angle (between 270° and 360°) will be 360°-30° = 330°.
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<em>Comment on the diagram</em>
The geometry program used to create the figure decided to show the angles measured clockwise. To get the answers you want, you need to subtract the angles shown from 360°.
<em>Comment on calculator solutions</em>
If you use a calculator (in degrees mode) to find the angle whose sine is -1/2, it will tell you sin⁻¹(-0.5) is -30°. This means the angle is 30° measured clockwise from the +x axis. Of course, the value you want in that quadrant is 360°-30° = 330°. You have to understand that the third quadrant angle can be found by adding the reference angle (30°) to 180°.
Answer: The greatest number of necklaces she can make = 6 and n. of beads of each type in each necklaces = 4 and 5 respectively .
Explanation:
We have given that
Number of jade beads = 24
Number of teak beads = 30
The greatest number of necklaces she can make = H.C.F of 24 and 30
= 6
and,
The number of jade beads in each necklace =
= 4
The number of teak beads in each necklaces =
= 5
Aimee is correct because a stop sign is an octogon. Octogons contain only obtuse angles.
So the distance between 6, 8 are 6 blocks