Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
Answer:
I came up with -12
Step-by-step explanation:
8 workers = 6 days to complete
x workers = 4 days faster to complete
6/4=1.5 days faster
1.5 x 8 = 12 workers needed to complete the wall in fours days
Answer:
The circle is important when constructing equilateral triangles because it can allow one to draw an accurate triangle while not having a ruler to measure it out.
Step-by-step explanation:
Answer:
Vertex : (-2,1)
other points : (0,5) & (-4,5)
Step-by-step explanation:
Answer:√5 - √2
Step-by-step explanation:
= √(5 + 2 - 2√10 )
= √{(√5)² +(√2)² - 2.√5.√2}
= √(√5 - √2)² (by identity a² + b² -2ab = ( a-b)²)
= √5 - √2
