Answer:
Step-by-step explanation:
The sum of the angles is ...
x° + (x +8)° + 2x° = 180°
4x +8 = 180 . . . . . . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . . . divide by 4
x = 43 . . . . . . . . . . subtract 2
x +8 = 51
2x = 86
The angles are 43°, 51°, 86°.
Answer:
a ≈ 1.8
Step-by-step explanation:
a / sin (180 - 105 - 15)° = 2 /sin 105°
a = (2 /sin 105°) x sin 60°
a = (2 / 0.97) x 0.87
a = 1.79 (≈ 1.8)
Answer:
The length of arc PQ is 8.1 inches.
Step-by-step explanation:
First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :
Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :
Answer:
Step-by-step explanation:
- <em>A line segment that connects two midpoints of the sides of a triangle is called a midsegment.</em>
- <em>A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.</em>
Point J is midpoint of side HI as HJ = JI
Point K is midpoint of side GI as GK = KI
JK is midsegment as connects the midpoints of the sides
JK = 1/2HG as per property of midsegment
- 6x - 4 = 10x/2
- 6x - 4 = 5x
- 6x - 5x = 4
- x = 4
JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m
Answer:
It should be 324.
Step-by-step explanation:
